01342_01432_02341_02431_03241_10342_10432
Counting sequence:
1, 1, 2, 6, 24, 113, 581, 3149, 17678, 101805, 597902, 3567071, 21557400, 131695986, 811963376, 5045821774, 31572676429, 198751030800, 1257834472856, 7998356193746, 51077236828539, 327432097166777, 2106326695097864, 13592686926772658, 87971482271406331, 570863145381263630, 3713507999505888453, 24211302334880860844, 158183587017350039122, 1035499396819563562587, 6790874609176246511878, 44610489583865806588598, 293519296630086012799141, 1934113964082612097613184, 12762459738713064611589951, 84325362368365206179306673, 557854768377335378573791131, 3694821489620451497949741730, 24498969508215026776601990441, 162614410085628167680655717785, 1080447892867325249225238831689, 7185560994350441338203863582837, 47831017503781989725407646183520, 318663332626394254994032769319173, 2124764673191311950789266732655730, 14178482587264631053292251013618536, 94683393767316130727645872275957718, 632745358731441829290926501487071862, 4231380184487748675999956453086978028, 28315270216607343804404638621665119340, 189597830242867903303952205884261171596, 1270308207435615687526450854240954975630, 8516039564624783215188689211959916324625, 57122786930747236136826727587054127546229, 383367353395082626710241114790272348216757, 2574223568462004021667759873806774669265403, 17293967468520090394521529399835222426903458, 116239178326959706939907229381382255236159115, 781650528506623409253132221360277012519883786, 5258573889212319793613540351681821672029033699, 35392562400182087420429305339982696657786565741, 238307901273013971597647254620172199280843416580, 1605245024418052732104812925009794109681243062496, 10817203753906637139400633506355804824114544704262, 72921245208370450646444731556745913072009925236477, 491760207204169074984916757613591179033486194351231, 3317477765371001757702810351563038190324956511128063, 22387897041734382284796496294129461595829570217737519, 151134893612352389930244808395847659304698362738692795, 1020605888011699887079315956707487331787143757428921876, 6894284146713440811997997010396924149037434436229231889, 46585863592153462636588385919119023385495000400626461927, 314883010109126147234384961068359971597093644117741249428, 2128976222652819758303082657704757000088915603652298038245, 14398440145707121336387041607062450312760202106340405872174, 97404678541340690457410234199042784028271505943817186870151, 659114317145570278813704879857466184460642464792252051441740, 4461235739213371388868069084461524221902726666853429417227477, 30203700932093932499669298777852339028017337682490210514299382, 204537472993906202180028399170937920763823940545615435000865612, 1385449270626205148394303977765451356922108198933117853369859509, 9386653173769429213675490697701693101911454317103695543607143359, 63610790873155219851628550419495144141919124637708115748962604713, 431169737296677496157390579245446594564787282853492702345332997438, 2923215674680829312865661150156376232452873391076712408960927291141, 19822859387102783134669079041422714087028204709587137218040939748952, 134450498835811945388613311094561527130391484092698138407965619666709, 912109773030945323816422680903278143762752525242095466937380507168221, 6188969522293143921834186972683319220791460875140995869848609106482579, 42002405320917490820177685349977319205079604049361591422327657405224858, 285110142109534334685536484243322812408263164460373777174314226966852114, 1935673154613432123132083011296418289786990001413613679906498911027579671, 13144088387065668548918358393229464606588197054094350864905712483442378156, 89270153976193266193426377875759914980825052515440628252081676398685192384, 606398065113129821819621447844424618238543720917941009868446581968307475652, 4119869252565990928659254980274125006011968268309411113097422073676140381569, 27995073246113209317916411754945468585655893355576617624705890256372983859787, 190261459223675388093667527124303660477544590367616237031245043630272085581700, 1293271235474059066020696745287885092310467442372113049253873284614773481239278, 8792180123846899557300268664863978786841048005007972662814982995349092551120864, 59781984225135568697765597903213263147662269895101331161528508212337071735613142
Implicit equation for the generating function in Maple syntax:
2*x^7*F(x)^7-2*x^5*(2*x^2+2*x-1)*F(x)^6+x^4*(3*x^3+7*x^2+5*x-6)*F(x)^5-x^2*(x^5+4*x^4+16*x^3-6*x^2-10*x+2)*F(x)^4+(x-1)*(x^5+17*x^4+15*x^3-5*x^2-x+2)*F(x)^3+(-8*x^5+2*x^4+16*x^3-4*x^2-9*x+7)*F(x)^2+(2*x^5-3*x^4-5*x^3+3*x^2+8*x-8)*F(x)+x^4-x^2-2*x+3 = 0
Implicit equation for the generating function in latex syntax:
2 x^{7} F \! \left(x \right)^{7}-2 x^{5} \left(2 x^{2}+2 x -1\right) F \! \left(x \right)^{6}+x^{4} \left(3 x^{3}+7 x^{2}+5 x -6\right) F \! \left(x \right)^{5}-x^{2} \left(x^{5}+4 x^{4}+16 x^{3}-6 x^{2}-10 x +2\right) F \! \left(x \right)^{4}+\left(x -1\right) \left(x^{5}+17 x^{4}+15 x^{3}-5 x^{2}-x +2\right) F \! \left(x \right)^{3}+\left(-8 x^{5}+2 x^{4}+16 x^{3}-4 x^{2}-9 x +7\right) F \! \left(x \right)^{2}+\left(2 x^{5}-3 x^{4}-5 x^{3}+3 x^{2}+8 x -8\right) F \! \left(x \right)+x^{4}-x^{2}-2 x +3 = 0
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 113
a(6) = 581
a(7) = 3149
a(8) = 17678
a(9) = 101805
a(10) = 597902
a(11) = 3567071
a(12) = 21557400
a(13) = 131695986
a(14) = 811963376
a(15) = 5045821774
a(16) = 31572676429
a(17) = 198751030800
a(18) = 1257834472856
a(19) = 7998356193746
a(20) = 51077236828539
a(21) = 327432097166777
a(22) = 2106326695097864
a(23) = 13592686926772658
a(24) = 87971482271406331
a(25) = 570863145381263630
a(26) = 3713507999505888453
a(27) = 24211302334880860844
a(28) = 158183587017350039122
a(29) = 1035499396819563562587
a(30) = 6790874609176246511878
a(31) = 44610489583865806588598
a(32) = 293519296630086012799141
a(33) = 1934113964082612097613184
a(34) = 12762459738713064611589951
a(35) = 84325362368365206179306673
a(36) = 557854768377335378573791131
a(37) = 3694821489620451497949741730
a(38) = 24498969508215026776601990441
a(39) = 162614410085628167680655717785
a(40) = 1080447892867325249225238831689
a(41) = 7185560994350441338203863582837
a(42) = 47831017503781989725407646183520
a(43) = 318663332626394254994032769319173
a(44) = 2124764673191311950789266732655730
a(45) = 14178482587264631053292251013618536
a(46) = 94683393767316130727645872275957718
a(47) = 632745358731441829290926501487071862
a(48) = 4231380184487748675999956453086978028
a(49) = 28315270216607343804404638621665119340
a(50) = 189597830242867903303952205884261171596
a(51) = 1270308207435615687526450854240954975630
a(52) = 8516039564624783215188689211959916324625
a(53) = 57122786930747236136826727587054127546229
a(54) = 383367353395082626710241114790272348216757
a(55) = 2574223568462004021667759873806774669265403
a(56) = 17293967468520090394521529399835222426903458
a(57) = 116239178326959706939907229381382255236159115
a(58) = 781650528506623409253132221360277012519883786
a(59) = 5258573889212319793613540351681821672029033699
a(60) = 35392562400182087420429305339982696657786565741
a(61) = 238307901273013971597647254620172199280843416580
a(62) = 1605245024418052732104812925009794109681243062496
a(63) = 10817203753906637139400633506355804824114544704262
a(64) = 72921245208370450646444731556745913072009925236477
a(65) = 491760207204169074984916757613591179033486194351231
a(66) = 3317477765371001757702810351563038190324956511128063
a(67) = 22387897041734382284796496294129461595829570217737519
a(68) = 151134893612352389930244808395847659304698362738692795
a(69) = 1020605888011699887079315956707487331787143757428921876
a(70) = 6894284146713440811997997010396924149037434436229231889
a(71) = 46585863592153462636588385919119023385495000400626461927
a(72) = 314883010109126147234384961068359971597093644117741249428
a(73) = 2128976222652819758303082657704757000088915603652298038245
a(74) = 14398440145707121336387041607062450312760202106340405872174
a(75) = 97404678541340690457410234199042784028271505943817186870151
a(76) = 659114317145570278813704879857466184460642464792252051441740
a(77) = 4461235739213371388868069084461524221902726666853429417227477
a(78) = 30203700932093932499669298777852339028017337682490210514299382
a(79) = 204537472993906202180028399170937920763823940545615435000865612
a(80) = 1385449270626205148394303977765451356922108198933117853369859509
a(81) = 9386653173769429213675490697701693101911454317103695543607143359
a(82) = 63610790873155219851628550419495144141919124637708115748962604713
a(83) = 431169737296677496157390579245446594564787282853492702345332997438
a(84) = 2923215674680829312865661150156376232452873391076712408960927291141
a(85) = 19822859387102783134669079041422714087028204709587137218040939748952
a(86) = 134450498835811945388613311094561527130391484092698138407965619666709
a(87) = 912109773030945323816422680903278143762752525242095466937380507168221
a(88) = 6188969522293143921834186972683319220791460875140995869848609106482579
a(89) = 42002405320917490820177685349977319205079604049361591422327657405224858
a(90) = 285110142109534334685536484243322812408263164460373777174314226966852114
a(91) = 1935673154613432123132083011296418289786990001413613679906498911027579671
a(92) = 13144088387065668548918358393229464606588197054094350864905712483442378156
a(93) = 89270153976193266193426377875759914980825052515440628252081676398685192384
a(94) = 606398065113129821819621447844424618238543720917941009868446581968307475652
a(95) = 4119869252565990928659254980274125006011968268309411113097422073676140381569
a(96) = 27995073246113209317916411754945468585655893355576617624705890256372983859787
a(97) = 190261459223675388093667527124303660477544590367616237031245043630272085581700
a(98) = 1293271235474059066020696745287885092310467442372113049253873284614773481239278
a(99) = 8792180123846899557300268664863978786841048005007972662814982995349092551120864
a(100) = 59781984225135568697765597903213263147662269895101331161528508212337071735613142
a(101) = 406545850160204551548921540257446343562446555579411420608608982042610673469251943
a(102) = 2765113128111349629603221335913294892569331811420940196159922939866664586113208897
a(103) = 18809583805090156563593750001705196577725996525012769629200628740140443080825029098
a(104) = 127969702365155475836970833221024052775557710283039823187407803506643312840658237929
a(105) = 870754328353257922909735978142435426712181668367939915759473449949360768837005223387
a(106) = 5925752149014376821535808458176994270988914658791031461487321053610695046927217193798
a(107) = 40331982021483636343081871485004829224829627558876092573619366581522608124101668967302
a(108) = 274544534673443887154419668250117601861263648426889836767093184716548056429802459002130
a(109) = 1869098289697934514978877707904584364715616710282236894431317846903071676924500711173565
a(110) = 12726428745962422510143404639699604928263142118990609585868945106460106378142053214266771
a(111) = 86663262493324721719366401109626637723666551728738959688323472265250818383074137918252444
a(112) = 590223667195015397666941733331305975117488125053989063083158237335049735227705146560851065
a(113) = 4020225017415523392453314930396006786311714242856561559729524374183984294563373536199396273
a(114) = 27386424670454250418894105113129182733815562210636383501323261718923232133224421974309326282
a(115) = 186582390443551636544181374389441934494886450369806842423659404326581041077600175008604365017
a(116) = 1271321618044946215733030530451122764868079552260038060790170627176205780143190861440078571411
a(117) = 8663409136029769461807402106541555020506225168864444846410563421076450795236455391092194940163
a(118) = 59043215625270230604726912352819583649198890964343751359495672057725340465613078084944427819803
a(119) = 402437234452807369578707808686328388377049275041374377904943522142072239141264904544375430238922
a(120) = 2743294913687529218191505311252618944717733080364268229844744236969875839472029762207059394162052
a(121) = 18702181232450278516280677459799383285046423514218946217524684643933223099574172219086852900073371
a(122) = 127513655328227948912318348272461481944641247854555104885228268287931552602210240172198884742591653
a(123) = 869490958732416693990066391631352961847420690925585943492314602628232469016006885326969569093171298
a(124) = 5929480880487299671338606748815671792286727659362716108175439669061348073198242735953664478466593577
a(125) = 40439968399924916368689958438932877867721585394937673777367839314845773480709776552841651905958961422
a(126) = 275833363312827246471860757224978286454846224798152180771084587762165159119523095634496561068042064493
a(127) = 1881585563126444337063947332602015447882096485182982380984536178132455119040908579901662427505706824419
a(128) = 12836354191701265744830627361969110041696873034521229467941244639237863674319710927994909206730182159598
a(129) = 87578866951235916547636975706460458253136161279699537741881785113864757659872395813690017733326303967942
a(130) = 597580263302954005139004957733283339755430876190916324439082216993843023000040629978631509063180693192614
a(131) = 4077855740344475439233785204985613912475534522399689052791011032735483198257390014524589604864044960550635
a(132) = 27829510705737214502706895967509035115637199457632980002051088358882673407200405750104633265575995150832718
a(133) = 189940163449953908265787776196563948908142870916449166500299235591608901420035104002800866900093341920315397
a(134) = 1296477561982483861772071047985577395039890980363571714518983258653179798285619597902186480334276269461957363
a(135) = 8850129234891720602937618614986066903593776881522344332673799587786890460785801576162666532558711577126920800
a(136) = 60418521313359782565036150170857638585251964291066304690742852998590760430425650430227081469225691051428176637
a(137) = 412501865549357497756052571305198478544734799517324016372231829502807014144549004832834654952437457446377186339
a(138) = 2816544207806072241455481519485122405273195870131855982862610494735302532062061962985637251941085590583435412997
a(139) = 19232757418779379671499710582257781793760106749796449223252431218759613553634858831635793640773766200122742722771
a(140) = 131341015292210630546117411194264600330224151442202569440371131767086289562249443462250243684768954870226847315410
a(141) = 897000190890937951148733111123305229655051158801505771913276969746258734228403651561301911169476887785487478271243
a(142) = 6126572549356659096177505568915368150856335715673697879674398892669616748021633728160240170152215648971144030982047
a(143) = 41848032333680787591824685467618478645063947963587224616055846419440466608847060379008341964432189822924811440720825
a(144) = 285867292615879109308818189330648225209944602202482712011196220498181807881070347130040337761481573364136589752462989
a(145) = 1952924328077806970700961571024604897644800498219685294641382251993875103510660809985596205497133643754873966579537470
a(146) = 13342507314032375620637789571833804792288253920476021306708719615053006147870112457285940372403406339623135385592723225
a(147) = 91163322607957956769660051823849345468303278180731822031782736426807590471854637681642044421165269470950233474913241495
a(148) = 622921164464209461555583999883942177585473599351540495715495637952029194007735719056113568638028922763131765685548020737
a(149) = 4256727661484771929457315236812239423227407686689741952297068643212140517011015579675679970208164714455583279869035286728
a(150) = 29090292102107584304967156649026517055079513464747043802232463344686425189612803871543129792383795476086109995024482669091
a(151) = 198815090163753911663037711822313783471460551150208333148902387910029056820314647490813957436947568694365572701797590845022
a(152) = 1358874248739133693270448480552005423210215980739546758203063933265714603240064232415568508921734827269673793414249290646420
a(153) = 9288326606527926112397264229650000789084793960395849305742611712727363644635728801737104972082891583367653108524087575559542
a(154) = 63492671960441283199343394428738030472732338239650004227738607314275424329959573556993090344801197265741515376647903847027452
a(155) = 434047524704605102077747567217914534523845729112666695678716723123308943245379707424650173037079309401852851354123005037284929
a(156) = 2967414149518603626338259653865845790978277727266376864918464234840234238616309838892559894193244183395950972938423407755565216
a(157) = 20288311009287035780330012352573744917230319946034817078421114138277407521804990214436418676561128681878721015525665777897452068
a(158) = 138720336638770814039425131431217855459430407436900806414237831473822865546321220619180241469573884193789218662029676033971749668
a(159) = 948550700439121999532906452411279501543326744006772399406161441791623675040970982725982676960379633066381413682675556454820236006
a(160) = 6486446047670842086844152545230918869694371326906676816272056709129645851116390711969549806657144561720145564054709943294818456108
a(161) = 44358678001265436148857301524334959128238807201173853441560226752307610224765962237281119780974204899082735324533073038153774226562
a(162) = 303372063820921294978803149518466395467242024955564162820883320877499134719641714037758766892990925365102045598042972411847605908859
a(163) = 2074901447763945454588874393853051366107043330679870052295778425635756218281971367938463065184459300691965002066576692465442061565263
a(164) = 14192011442080768925426769036927219493166223961972607152507549668191277280740737195010532266893845586272479171805000406326847608319579
a(165) = 97076637134072643559424112017096930361558277455275399816868347012989708356527362372857241586029016780576145317110728563839301890263705
a(166) = 664063319420015928518153019944628989846985580610467805698477820255908770679525695786235060304685724412435004189289685672865042437460719
a(167) = 4542845529395353066880255547530547174844483112473279277251145075355870014405096472694279849350286836248404922920224981165814300520403500
a(168) = 31079203000966476179821513743107149038505233136104083319249893786582668046415812927122087302368771576220005717314820693707309237552911906
a(169) = 212635084373508448541305747049590099979436833855795518239777657529694151056709607374771518328096278764049332869340948835345521533302410760
a(170) = 1454865509687576187887169384680402266688200956185642649175417301591502536442264585672995639901276561151007233717647365221669855475837492187
a(171) = 9954819220893594875765680441264359128540958175751752837689217984606771034387698225354541860964394083062280972369414376678380804246554416026
a(172) = 68118683844067312957373653285878886615755627384107575840072517273080136078749016468210981607908168092581866731333667634517494212521007999332
a(173) = 466145182546187332595911521137301139168701170640360818138519793983637540663700228941667474299162540834640775902605756288885008883144904181240
a(174) = 3190053592499850744777159022027986822234204911291751941437175304686572762868611686503624336123614085734788157805644929589495877581086388996665
a(175) = 21832141346437674474419107073370018017250751564722775208434192444340761795474832137348127821600990890214926486461902201794477720046092187908983
a(176) = 149422507321023431405120084259557453702231039309377172958315196778369296447761015890528439775865916220228399432564567404612359286073341060499916
a(177) = 1022720103427544157394394424118538151397040777590743804635265442192153233782078264144526875589722213799094229633554383223617143789627560366858633
a(178) = 7000328433413872997412262011015619292030376155632366879839652665919456828950592340686431112958876571431325316201451124892523106875932240525120172
a(179) = 47918217641214453571626593917341150453829711163643535906320459381228825328418183602786302907279436319342850508679002325199148159885826849305946369
a(180) = 328022233494618740107077406168795290791753466282449942523590199837221406676784635448317843422180641683213387229653399346647862686768001713888421243
a(181) = 2245567256250973147122569474469295970357060143980370465604132440378390905825670541425856140223365047362214676313865892817416367160701363330726391202
a(182) = 15373359749362527790867293984792794460980167603732333340445746845883815466896291885809760980885719618310295853051706620210311052671850311612990939130
a(183) = 105252212054726386454934741178182667136183686097900342114790259327434574913807613361973524323122647279963731547611079656752041400124390833334104329751
a(184) = 720631393051976754792244187497950429210207193610301919078475781190579871250197290910142658656062293822090417927992245404062190343512610740693582836290
a(185) = 4934173480512092385517814699856922260249831579681774670606731938696195175220446093545458943691585420240042500764974912462914735702180964132175293099227
a(186) = 33785841137080869078403731378636760887807197872727874727183302981522961461191058781076108566433467921198093719180509745537562804719444637793503978342520
a(187) = 231352360616551099470686094787071490492085085546070401920487244596911923822720246688387227928795603025490711653397596373022022422230704520356797597296270
a(188) = 1584279533464916384276377136867085214828012492527983691327951178409733290879557030082698209431537596265269871997122738689788206418980071883389480593159230
a(189) = 10849461100307278471348137351788000016262448498547134723099544426636713910537094165145100519788965520294027275764580962488053103822613984536325257756504588
a(190) = 74302393795280009637113546673331000781410464549109954687910687813113110403685284508024581125149928503570086298832474744251558788465818975629085656180665355
a(191) = 508880179051304366711835969332491724044371175503197223804586614199546555709996775677938577728286524322088393600418547883339248667446020106468351002566710134
a(192) = 3485348158192890084779703199526399468348019041861702390053306010563657094413003025346949139349577001367176724239559610258178523803485957956101657199094168063
a(193) = 23872313801308033764914757737113783880419114335245757045115044166371178987020331319080981261237288173167204863783241957561584004073014963479226739049060052746
a(194) = 163516052665737972295305404216900938490144664277777365990168626766663526101631540502922643007428738304068626622913272096164491586630302373226156243898997063933
a(195) = 1120066031341603389661352375203896653094699290354392848269450076625397945091788260784291173947561853397770564894562917076042682390295690920667473577003687168213
a(196) = 7672626058705244719230221450106430103582331109304951799356388122557685339975933850480959286995694382498073900240624342671484967139624561569657741870001235286128
a(197) = 52560735970863703404752189539360776832734035971882795970714307104781524437979641922924123068846910278048336584695301633806844656089051255172111079025379687014006
a(198) = 360077238932320192123713444856522641674932423664687939452843772300048826880308055044125973529083935924745850489217678315205620386316949518859840904959547488214836
a(199) = 2466871678168970882301486205685639006061499346518168284189892911089105537800313678399011255649413798276518261909506419911961213872485723699063970542389053195757113
a(200) = 16901059783826533635412015360028159050280912122089602976026526408145057505510781590049272654730531458305756945559636756353749838143604557799860206620725457890125278
a(201) = 115797089093676801097484577256367561111480150140996735537086898840152797054885650687444666171205994557021561138933070589729384466499828085412659116650548262835386414
a(202) = 793409706852821082919310911331078687117915199643764381681343652462705621470667841969480543000456219506222150879046138596140647420467287234821415488696961949443848829
a(203) = 5436424736265337237827698323139153012197234453621845769385808874465559468623903877157529712231436091066428124499781924667215530342694277027336891012309944503906164693
a(204) = 37251614156860392855598072586837423727173906667120682048216236515920026851259358938471857332862814923239806693818468753650308238449964733584795067450166495570191674434
a(205) = 255265723495831998648852912225967890885026844121467006224634796662707603738155672996559050774820124135911953637418974775576664766942757683073825520238201485748217151300
a(206) = 1749264356594989248104714935204554951432533543716464851751243694555741893626934943925222728236308026409742329907123787135516679404447208685571880579201117478357989539366
a(207) = 11987642375465129036499163581943123189689359161189625594818000185288131907913259413626445569745229576259011327186315308076656027082532322402411173620834840266132989983993
a(208) = 82153741679395266927676248923635048528467846816323114498938455129512773808486672672102836527854215669736114952926746459187249293441344269956697906225715061385388346217257
a(209) = 563035800332738505521701410691957337394331534436644842239516365408602025747811055066323884181079422071766675180276330807935802635061317412635710478941725651191259294171834
a(210) = 3858865308826386954361099337831704919978993253772229446601091092042377729323808564064405706320263492036486690610007094189529079808048079587107494981760667044243051834514935
a(211) = 26448316648435607250206979449715835723690075749035299728141631859491364897265748215250614725758884255572034056490434670642155673028167453282473470835843555887015117672348285
a(212) = 181280511149869669920890414878936641639708942869542760069402509855397348546481602986317757646088701807490767854161041857306086284736475421795210974813643428945235533310780381
a(213) = 1242563882308315017364676934810799775516707106062061563705398910659651883052279377863412342260916088557785410158252846753845464636967160631883986681049908340022641315356171156
a(n+214) = -1/18119393280*(127855647624929654933210168209813872425596982364792*n^6+111492042359853811809924599023394199477292669362350799*n^5+40273342131413611660244188028703551890677804623980953115*n^4+7719717986527591119759258784102814462109301516887312748795*n^3+828708237299773828593861372103250004004068209218948441515113*n^2+47263522030600973975213618438651626554881992831871775262394906*n+1119326541425723899208503312194942453090810215046851307677807400)/(3*n+643)/(n+216)/(n+215)/(n+214)/(n+213)/(3*n+647)*a(n+134)+1/18119393280*(181285613671345149216484700498781779892435560184390*n^6+154119996877017191152220113099044855742448041829794564*n^5+54478736352319030318751391838900381319582539664178029895*n^4+10250790133864675896032765883658267159364091102308997847410*n^3+1083038268811833409662156265087995427765865441766742278455535*n^2+60929044879979586462491909303131289343861294525618906605955566*n+1426079733551891708190214420566387615255709859690919837777943080)/(3*n+643)/(n+216)/(n+215)/(n+214)/(n+213)/(3*n+647)*a(n+135)-1/18119393280*(204456697482112219648050168694407447273041455309807*n^6+172612889804437266773970271586997834667495281811787955*n^5+60656203771134318253251547625878668780994193791411432225*n^4+11356550580424489638864925832592517666318069786765716120345*n^3+1194915438005803532688838510385957345525332898707507787625928*n^2+66995839110155192459196586977623918199881635218652595403440940*n+1563833858681785375306982921332028008478368454689087002009564840)/(3*n+643)/(n+216)/(n+215)/(n+214)/(n+213)/(3*n+647)*a(n+136)+1/54358179840*(614294255197215589190310873849279766356575365942510*n^6+517900598262172762504615780903155525962815887754039827*n^5+181822137317574577547662924566717160274788564471951595245*n^4+34025140693986513480926229191056546857484317307692547569495*n^3+3579656430491297651371080154047750376658132504592749547357325*n^2+200751157653187553809356632632154558782273772213958695476408398*n+4688676250899503658338190080920574853622418586561658490145629760)/(3*n+643)/(n+216)/(n+215)/(n+214)/(n+213)/(3*n+647)*a(n+137)-1/54358179840*(12122398443887807927736612245963917733485307*n^6+12484420576116504346056994787202241132344153720*n^5+5356926162231510215083542318712288681667299816145*n^4+1225856741988796899220283878840258444289220826616760*n^3+157784282349999087097434124238034804454013308102352468*n^2+10830868193805708402438554971507634847831308826079823400*n+309761672138480901812019494419454843549181083448563092800)/(3*n+643)/(n+216)/(n+215)/(n+214)/(n+213)/(3*n+647)*a(n+172)-1/27179089920*(922174595702479237105184257637788349943046*n^6+986395675884397867261375025583556148353187001*n^5+439195861499004014355790775456464613309502087700*n^4+104199952431933161559503628078328405657921464318375*n^3+13893894175069411760700532989756051643393142902941934*n^2+987241181330673273239978434856883042277176718767532104*n+29206077558993367065650530119456418453696146634482333240)/(3*n+643)/(n+216)/(n+215)/(n+214)/(n+213)/(3*n+647)*a(n+173)+1/18119393280*(848075446234636654082309853032322825268545*n^6+895469557429185039695614660937305861896650901*n^5+393891218148364363137494170836930589834871300155*n^4+92389358125988726560657911136609908143309306727935*n^3+12187443289931530056392669432156335412669318192615300*n^2+857285459191363450847379290383640254119692315268208444*n+25121841478650850128240124939554085408483424203032046080)/(3*n+643)/(n+216)/(n+215)/(n+214)/(n+213)/(3*n+647)*a(n+174)+1/54358179840*(116891616965463981584314173674789687822078533*n^6+115394183348218042324741790123832341446185304545*n^5+47452405256294123994189971134815602625527556381115*n^4+10404378938479809317046982302343151256026852746838835*n^3+1282866841712813230968146184001408607967873016329250012*n^2+84339489200603482681279790129370395580569011538636823480*n+2309696197866717159416224237540808182870738484204157403080)/(3*n+643)/(n+216)/(n+215)/(n+214)/(n+213)/(3*n+647)*a(n+168)+1/27179089920*(53302387943795294988972461679893085069278362*n^6+54616933846162974920171468465119214404219930521*n^5+23310483874012693990107257938393538400357799306330*n^4+5304325733015903118482930454736327875855928337513085*n^3+678717875999042143775456705875532155575826363972389238*n^2+46302680480659092512676901959052773097402253973867139584*n+1315745672374439060878686829405847600813372368770154978080)/(3*n+643)/(n+216)/(n+215)/(n+214)/(n+213)/(3*n+647)*a(n+169)-1/54358179840*(105808344599207789000732110768687171609714634*n^6+108436168222927475522401608967963547590688032539*n^5+46297471082623124695843859122535155837403007475040*n^4+10540927280526252553677746369885055039201115222231425*n^3+1349777520197558669173299539787253750367123988582004106*n^2+92168634286157774033886160233387898126147554229026811896*n+2621991433160034644096625884702390493425781317920839007680)/(3*n+643)/(n+216)/(n+215)/(n+214)/(n+213)/(3*n+647)*a(n+170)+1/18119393280*(17118867825790707169539470237905165855527929*n^6+17613738149039842284319720250734165973790288130*n^5+755059081448988446356212828609827244772169170262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^3+2069785222606525036796362379922137548457939342841292978360*n^2+118977268124146064544279450834564037947148356161882350005828*n+2833376108791829450128150889003823224936075637495835567620480)/(3*n+643)/(n+216)/(n+215)/(n+214)/(n+213)/(3*n+647)*a(n+153)+1/54358179840*(294797215556674061324783643399170359088066832497*n^6+259792235192679762400266970965185302662221686520061*n^5+95127391693461531508449683422178557449008072504747375*n^4+18520106466062453477989188233121270687588766598507571555*n^3+2021218031466879693280550519147593673807921269643893653188*n^2+117195914217441119113723326390450100038935319194353881971244*n+2819147086796816442353671707894105381971667502145582428792440)/(3*n+643)/(n+216)/(n+215)/(n+214)/(n+213)/(3*n+647)*a(n+154)-1/27179089920*(107518803389299165447608083092967711908620871552*n^6+95930402551146904848311057867518668176718197528769*n^5+35602452543712017792327347712397317976562213002224490*n^4+7034172726678938712164495863968567837328433771067592725*n^3+780226942828141149402353427831438598770780224148876169708*n^2+46058970195412724715517275949241846053164611846508452148336*n+1130339279417501037650555781240278654053252931209083864297000)/(3*n+643)/(n+216)/(n+215)/(n+214)/(n+213)/(3*n+647)*a(n+155)+1/54358179840*(139731309961848478519931874271752693554840025136*n^6+127311054395132975334738090700204102994079499436478*n^5+48322725789870410286099302273503665934856258847775705*n^4+9780811817693466103317604572921290169653342402974129740*n^3+1113467724062999919342320755011112725880035553419427476319*n^2+67601335985402718429178936038242562414438328637530154545302*n+1710092902722980036581058893186244473187680729747152193017840)/(3*n+643)/(n+216)/(n+215)/(n+214)/(n+213)/(3*n+647)*a(n+156), n >= 214
Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 113
a(6) = 581
a(7) = 3149
a(8) = 17678
a(9) = 101805
a(10) = 597902
a(11) = 3567071
a(12) = 21557400
a(13) = 131695986
a(14) = 811963376
a(15) = 5045821774
a(16) = 31572676429
a(17) = 198751030800
a(18) = 1257834472856
a(19) = 7998356193746
a(20) = 51077236828539
a(21) = 327432097166777
a(22) = 2106326695097864
a(23) = 13592686926772658
a(24) = 87971482271406331
a(25) = 570863145381263630
a(26) = 3713507999505888453
a(27) = 24211302334880860844
a(28) = 158183587017350039122
a(29) = 1035499396819563562587
a(30) = 6790874609176246511878
a(31) = 44610489583865806588598
a(32) = 293519296630086012799141
a(33) = 1934113964082612097613184
a(34) = 12762459738713064611589951
a(35) = 84325362368365206179306673
a(36) = 557854768377335378573791131
a(37) = 3694821489620451497949741730
a(38) = 24498969508215026776601990441
a(39) = 162614410085628167680655717785
a(40) = 1080447892867325249225238831689
a(41) = 7185560994350441338203863582837
a(42) = 47831017503781989725407646183520
a(43) = 318663332626394254994032769319173
a(44) = 2124764673191311950789266732655730
a(45) = 14178482587264631053292251013618536
a(46) = 94683393767316130727645872275957718
a(47) = 632745358731441829290926501487071862
a(48) = 4231380184487748675999956453086978028
a(49) = 28315270216607343804404638621665119340
a(50) = 189597830242867903303952205884261171596
a(51) = 1270308207435615687526450854240954975630
a(52) = 8516039564624783215188689211959916324625
a(53) = 57122786930747236136826727587054127546229
a(54) = 383367353395082626710241114790272348216757
a(55) = 2574223568462004021667759873806774669265403
a(56) = 17293967468520090394521529399835222426903458
a(57) = 116239178326959706939907229381382255236159115
a(58) = 781650528506623409253132221360277012519883786
a(59) = 5258573889212319793613540351681821672029033699
a(60) = 35392562400182087420429305339982696657786565741
a(61) = 238307901273013971597647254620172199280843416580
a(62) = 1605245024418052732104812925009794109681243062496
a(63) = 10817203753906637139400633506355804824114544704262
a(64) = 72921245208370450646444731556745913072009925236477
a(65) = 491760207204169074984916757613591179033486194351231
a(66) = 3317477765371001757702810351563038190324956511128063
a(67) = 22387897041734382284796496294129461595829570217737519
a(68) = 151134893612352389930244808395847659304698362738692795
a(69) = 1020605888011699887079315956707487331787143757428921876
a(70) = 6894284146713440811997997010396924149037434436229231889
a(71) = 46585863592153462636588385919119023385495000400626461927
a(72) = 314883010109126147234384961068359971597093644117741249428
a(73) = 2128976222652819758303082657704757000088915603652298038245
a(74) = 14398440145707121336387041607062450312760202106340405872174
a(75) = 97404678541340690457410234199042784028271505943817186870151
a(76) = 659114317145570278813704879857466184460642464792252051441740
a(77) = 4461235739213371388868069084461524221902726666853429417227477
a(78) = 30203700932093932499669298777852339028017337682490210514299382
a(79) = 204537472993906202180028399170937920763823940545615435000865612
a(80) = 1385449270626205148394303977765451356922108198933117853369859509
a(81) = 9386653173769429213675490697701693101911454317103695543607143359
a(82) = 63610790873155219851628550419495144141919124637708115748962604713
a(83) = 431169737296677496157390579245446594564787282853492702345332997438
a(84) = 2923215674680829312865661150156376232452873391076712408960927291141
a(85) = 19822859387102783134669079041422714087028204709587137218040939748952
a(86) = 134450498835811945388613311094561527130391484092698138407965619666709
a(87) = 912109773030945323816422680903278143762752525242095466937380507168221
a(88) = 6188969522293143921834186972683319220791460875140995869848609106482579
a(89) = 42002405320917490820177685349977319205079604049361591422327657405224858
a(90) = 285110142109534334685536484243322812408263164460373777174314226966852114
a(91) = 1935673154613432123132083011296418289786990001413613679906498911027579671
a(92) = 13144088387065668548918358393229464606588197054094350864905712483442378156
a(93) = 89270153976193266193426377875759914980825052515440628252081676398685192384
a(94) = 606398065113129821819621447844424618238543720917941009868446581968307475652
a(95) = 4119869252565990928659254980274125006011968268309411113097422073676140381569
a(96) = 27995073246113209317916411754945468585655893355576617624705890256372983859787
a(97) = 190261459223675388093667527124303660477544590367616237031245043630272085581700
a(98) = 1293271235474059066020696745287885092310467442372113049253873284614773481239278
a(99) = 8792180123846899557300268664863978786841048005007972662814982995349092551120864
a(100) = 59781984225135568697765597903213263147662269895101331161528508212337071735613142
a(101) = 406545850160204551548921540257446343562446555579411420608608982042610673469251943
a(102) = 2765113128111349629603221335913294892569331811420940196159922939866664586113208897
a(103) = 18809583805090156563593750001705196577725996525012769629200628740140443080825029098
a(104) = 127969702365155475836970833221024052775557710283039823187407803506643312840658237929
a(105) = 870754328353257922909735978142435426712181668367939915759473449949360768837005223387
a(106) = 5925752149014376821535808458176994270988914658791031461487321053610695046927217193798
a(107) = 40331982021483636343081871485004829224829627558876092573619366581522608124101668967302
a(108) = 274544534673443887154419668250117601861263648426889836767093184716548056429802459002130
a(109) = 1869098289697934514978877707904584364715616710282236894431317846903071676924500711173565
a(110) = 12726428745962422510143404639699604928263142118990609585868945106460106378142053214266771
a(111) = 86663262493324721719366401109626637723666551728738959688323472265250818383074137918252444
a(112) = 590223667195015397666941733331305975117488125053989063083158237335049735227705146560851065
a(113) = 4020225017415523392453314930396006786311714242856561559729524374183984294563373536199396273
a(114) = 27386424670454250418894105113129182733815562210636383501323261718923232133224421974309326282
a(115) = 186582390443551636544181374389441934494886450369806842423659404326581041077600175008604365017
a(116) = 1271321618044946215733030530451122764868079552260038060790170627176205780143190861440078571411
a(117) = 8663409136029769461807402106541555020506225168864444846410563421076450795236455391092194940163
a(118) = 59043215625270230604726912352819583649198890964343751359495672057725340465613078084944427819803
a(119) = 402437234452807369578707808686328388377049275041374377904943522142072239141264904544375430238922
a(120) = 2743294913687529218191505311252618944717733080364268229844744236969875839472029762207059394162052
a(121) = 18702181232450278516280677459799383285046423514218946217524684643933223099574172219086852900073371
a(122) = 127513655328227948912318348272461481944641247854555104885228268287931552602210240172198884742591653
a(123) = 869490958732416693990066391631352961847420690925585943492314602628232469016006885326969569093171298
a(124) = 5929480880487299671338606748815671792286727659362716108175439669061348073198242735953664478466593577
a(125) = 40439968399924916368689958438932877867721585394937673777367839314845773480709776552841651905958961422
a(126) = 275833363312827246471860757224978286454846224798152180771084587762165159119523095634496561068042064493
a(127) = 1881585563126444337063947332602015447882096485182982380984536178132455119040908579901662427505706824419
a(128) = 12836354191701265744830627361969110041696873034521229467941244639237863674319710927994909206730182159598
a(129) = 87578866951235916547636975706460458253136161279699537741881785113864757659872395813690017733326303967942
a(130) = 597580263302954005139004957733283339755430876190916324439082216993843023000040629978631509063180693192614
a(131) = 4077855740344475439233785204985613912475534522399689052791011032735483198257390014524589604864044960550635
a(132) = 27829510705737214502706895967509035115637199457632980002051088358882673407200405750104633265575995150832718
a(133) = 189940163449953908265787776196563948908142870916449166500299235591608901420035104002800866900093341920315397
a(134) = 1296477561982483861772071047985577395039890980363571714518983258653179798285619597902186480334276269461957363
a(135) = 8850129234891720602937618614986066903593776881522344332673799587786890460785801576162666532558711577126920800
a(136) = 60418521313359782565036150170857638585251964291066304690742852998590760430425650430227081469225691051428176637
a(137) = 412501865549357497756052571305198478544734799517324016372231829502807014144549004832834654952437457446377186339
a(138) = 2816544207806072241455481519485122405273195870131855982862610494735302532062061962985637251941085590583435412997
a(139) = 19232757418779379671499710582257781793760106749796449223252431218759613553634858831635793640773766200122742722771
a(140) = 131341015292210630546117411194264600330224151442202569440371131767086289562249443462250243684768954870226847315410
a(141) = 897000190890937951148733111123305229655051158801505771913276969746258734228403651561301911169476887785487478271243
a(142) = 6126572549356659096177505568915368150856335715673697879674398892669616748021633728160240170152215648971144030982047
a(143) = 41848032333680787591824685467618478645063947963587224616055846419440466608847060379008341964432189822924811440720825
a(144) = 285867292615879109308818189330648225209944602202482712011196220498181807881070347130040337761481573364136589752462989
a(145) = 1952924328077806970700961571024604897644800498219685294641382251993875103510660809985596205497133643754873966579537470
a(146) = 13342507314032375620637789571833804792288253920476021306708719615053006147870112457285940372403406339623135385592723225
a(147) = 91163322607957956769660051823849345468303278180731822031782736426807590471854637681642044421165269470950233474913241495
a(148) = 622921164464209461555583999883942177585473599351540495715495637952029194007735719056113568638028922763131765685548020737
a(149) = 4256727661484771929457315236812239423227407686689741952297068643212140517011015579675679970208164714455583279869035286728
a(150) = 29090292102107584304967156649026517055079513464747043802232463344686425189612803871543129792383795476086109995024482669091
a(151) = 198815090163753911663037711822313783471460551150208333148902387910029056820314647490813957436947568694365572701797590845022
a(152) = 1358874248739133693270448480552005423210215980739546758203063933265714603240064232415568508921734827269673793414249290646420
a(153) = 9288326606527926112397264229650000789084793960395849305742611712727363644635728801737104972082891583367653108524087575559542
a(154) = 63492671960441283199343394428738030472732338239650004227738607314275424329959573556993090344801197265741515376647903847027452
a(155) = 434047524704605102077747567217914534523845729112666695678716723123308943245379707424650173037079309401852851354123005037284929
a(156) = 2967414149518603626338259653865845790978277727266376864918464234840234238616309838892559894193244183395950972938423407755565216
a(157) = 20288311009287035780330012352573744917230319946034817078421114138277407521804990214436418676561128681878721015525665777897452068
a(158) = 138720336638770814039425131431217855459430407436900806414237831473822865546321220619180241469573884193789218662029676033971749668
a(159) = 948550700439121999532906452411279501543326744006772399406161441791623675040970982725982676960379633066381413682675556454820236006
a(160) = 6486446047670842086844152545230918869694371326906676816272056709129645851116390711969549806657144561720145564054709943294818456108
a(161) = 44358678001265436148857301524334959128238807201173853441560226752307610224765962237281119780974204899082735324533073038153774226562
a(162) = 303372063820921294978803149518466395467242024955564162820883320877499134719641714037758766892990925365102045598042972411847605908859
a(163) = 2074901447763945454588874393853051366107043330679870052295778425635756218281971367938463065184459300691965002066576692465442061565263
a(164) = 14192011442080768925426769036927219493166223961972607152507549668191277280740737195010532266893845586272479171805000406326847608319579
a(165) = 97076637134072643559424112017096930361558277455275399816868347012989708356527362372857241586029016780576145317110728563839301890263705
a(166) = 664063319420015928518153019944628989846985580610467805698477820255908770679525695786235060304685724412435004189289685672865042437460719
a(167) = 4542845529395353066880255547530547174844483112473279277251145075355870014405096472694279849350286836248404922920224981165814300520403500
a(168) = 31079203000966476179821513743107149038505233136104083319249893786582668046415812927122087302368771576220005717314820693707309237552911906
a(169) = 212635084373508448541305747049590099979436833855795518239777657529694151056709607374771518328096278764049332869340948835345521533302410760
a(170) = 1454865509687576187887169384680402266688200956185642649175417301591502536442264585672995639901276561151007233717647365221669855475837492187
a(171) = 9954819220893594875765680441264359128540958175751752837689217984606771034387698225354541860964394083062280972369414376678380804246554416026
a(172) = 68118683844067312957373653285878886615755627384107575840072517273080136078749016468210981607908168092581866731333667634517494212521007999332
a(173) = 466145182546187332595911521137301139168701170640360818138519793983637540663700228941667474299162540834640775902605756288885008883144904181240
a(174) = 3190053592499850744777159022027986822234204911291751941437175304686572762868611686503624336123614085734788157805644929589495877581086388996665
a(175) = 21832141346437674474419107073370018017250751564722775208434192444340761795474832137348127821600990890214926486461902201794477720046092187908983
a(176) = 149422507321023431405120084259557453702231039309377172958315196778369296447761015890528439775865916220228399432564567404612359286073341060499916
a(177) = 1022720103427544157394394424118538151397040777590743804635265442192153233782078264144526875589722213799094229633554383223617143789627560366858633
a(178) = 7000328433413872997412262011015619292030376155632366879839652665919456828950592340686431112958876571431325316201451124892523106875932240525120172
a(179) = 47918217641214453571626593917341150453829711163643535906320459381228825328418183602786302907279436319342850508679002325199148159885826849305946369
a(180) = 328022233494618740107077406168795290791753466282449942523590199837221406676784635448317843422180641683213387229653399346647862686768001713888421243
a(181) = 2245567256250973147122569474469295970357060143980370465604132440378390905825670541425856140223365047362214676313865892817416367160701363330726391202
a(182) = 15373359749362527790867293984792794460980167603732333340445746845883815466896291885809760980885719618310295853051706620210311052671850311612990939130
a(183) = 105252212054726386454934741178182667136183686097900342114790259327434574913807613361973524323122647279963731547611079656752041400124390833334104329751
a(184) = 720631393051976754792244187497950429210207193610301919078475781190579871250197290910142658656062293822090417927992245404062190343512610740693582836290
a(185) = 4934173480512092385517814699856922260249831579681774670606731938696195175220446093545458943691585420240042500764974912462914735702180964132175293099227
a(186) = 33785841137080869078403731378636760887807197872727874727183302981522961461191058781076108566433467921198093719180509745537562804719444637793503978342520
a(187) = 231352360616551099470686094787071490492085085546070401920487244596911923822720246688387227928795603025490711653397596373022022422230704520356797597296270
a(188) = 1584279533464916384276377136867085214828012492527983691327951178409733290879557030082698209431537596265269871997122738689788206418980071883389480593159230
a(189) = 10849461100307278471348137351788000016262448498547134723099544426636713910537094165145100519788965520294027275764580962488053103822613984536325257756504588
a(190) = 74302393795280009637113546673331000781410464549109954687910687813113110403685284508024581125149928503570086298832474744251558788465818975629085656180665355
a(191) = 508880179051304366711835969332491724044371175503197223804586614199546555709996775677938577728286524322088393600418547883339248667446020106468351002566710134
a(192) = 3485348158192890084779703199526399468348019041861702390053306010563657094413003025346949139349577001367176724239559610258178523803485957956101657199094168063
a(193) = 23872313801308033764914757737113783880419114335245757045115044166371178987020331319080981261237288173167204863783241957561584004073014963479226739049060052746
a(194) = 163516052665737972295305404216900938490144664277777365990168626766663526101631540502922643007428738304068626622913272096164491586630302373226156243898997063933
a(195) = 1120066031341603389661352375203896653094699290354392848269450076625397945091788260784291173947561853397770564894562917076042682390295690920667473577003687168213
a(196) = 7672626058705244719230221450106430103582331109304951799356388122557685339975933850480959286995694382498073900240624342671484967139624561569657741870001235286128
a(197) = 52560735970863703404752189539360776832734035971882795970714307104781524437979641922924123068846910278048336584695301633806844656089051255172111079025379687014006
a(198) = 360077238932320192123713444856522641674932423664687939452843772300048826880308055044125973529083935924745850489217678315205620386316949518859840904959547488214836
a(199) = 2466871678168970882301486205685639006061499346518168284189892911089105537800313678399011255649413798276518261909506419911961213872485723699063970542389053195757113
a(200) = 16901059783826533635412015360028159050280912122089602976026526408145057505510781590049272654730531458305756945559636756353749838143604557799860206620725457890125278
a(201) = 115797089093676801097484577256367561111480150140996735537086898840152797054885650687444666171205994557021561138933070589729384466499828085412659116650548262835386414
a(202) = 793409706852821082919310911331078687117915199643764381681343652462705621470667841969480543000456219506222150879046138596140647420467287234821415488696961949443848829
a(203) = 5436424736265337237827698323139153012197234453621845769385808874465559468623903877157529712231436091066428124499781924667215530342694277027336891012309944503906164693
a(204) = 37251614156860392855598072586837423727173906667120682048216236515920026851259358938471857332862814923239806693818468753650308238449964733584795067450166495570191674434
a(205) = 255265723495831998648852912225967890885026844121467006224634796662707603738155672996559050774820124135911953637418974775576664766942757683073825520238201485748217151300
a(206) = 1749264356594989248104714935204554951432533543716464851751243694555741893626934943925222728236308026409742329907123787135516679404447208685571880579201117478357989539366
a(207) = 11987642375465129036499163581943123189689359161189625594818000185288131907913259413626445569745229576259011327186315308076656027082532322402411173620834840266132989983993
a(208) = 82153741679395266927676248923635048528467846816323114498938455129512773808486672672102836527854215669736114952926746459187249293441344269956697906225715061385388346217257
a(209) = 563035800332738505521701410691957337394331534436644842239516365408602025747811055066323884181079422071766675180276330807935802635061317412635710478941725651191259294171834
a(210) = 3858865308826386954361099337831704919978993253772229446601091092042377729323808564064405706320263492036486690610007094189529079808048079587107494981760667044243051834514935
a(211) = 26448316648435607250206979449715835723690075749035299728141631859491364897265748215250614725758884255572034056490434670642155673028167453282473470835843555887015117672348285
a(212) = 181280511149869669920890414878936641639708942869542760069402509855397348546481602986317757646088701807490767854161041857306086284736475421795210974813643428945235533310780381
a(213) = 1242563882308315017364676934810799775516707106062061563705398910659651883052279377863412342260916088557785410158252846753845464636967160631883986681049908340022641315356171156
a{\left(n + 214 \right)} = \frac{847 n \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(3 n + 2\right) \left(3 n + 4\right) a{\left(n \right)}}{1536 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(46437669 n^{3} + 406474029 n^{2} + 1062980382 n + 857686760\right) a{\left(n + 1 \right)}}{196608 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(n + 2\right) \left(n + 3\right) \left(6403927474 n^{4} + 103424709201 n^{3} + 606008101124 n^{2} + 1532009690577 n + 1413579688260\right) a{\left(n + 2 \right)}}{2359296 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(n + 3\right) \left(56344409778 n^{5} + 1370011173179 n^{4} + 13209256163385 n^{3} + 63176792419366 n^{2} + 149942363929170 n + 141296074408488\right) a{\left(n + 3 \right)}}{9437184 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(14949 n^{3} + 9554283 n^{2} + 2035428876 n + 144539207104\right) a{\left(n + 213 \right)}}{16 \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(5614182 n^{4} + 4755351717 n^{3} + 1510444390312 n^{2} + 213225431543577 n + 11287537975377956\right) a{\left(n + 212 \right)}}{48 \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(406093257 n^{5} + 427964244813 n^{4} + 180402822357094 n^{3} + 38022730769146328 n^{2} + 4006889871307896920 n + 168898428650711037088\right) a{\left(n + 211 \right)}}{96 \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(30400702967 n^{6} + 38140407840680 n^{5} + 19936355709275520 n^{4} + 5557436085589206890 n^{3} + 871354316787208678633 n^{2} + 72858871792068529787270 n + 2538206758804136607615720\right) a{\left(n + 210 \right)}}{960 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(110038981629 n^{6} + 107683043829756 n^{5} + 40312798027975175 n^{4} + 6756016187757311480 n^{3} + 351976810463807007136 n^{2} - 30112504545139714918976 n - 3137844028193655045195600\right) a{\left(n + 209 \right)}}{5760 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(9274743729980 n^{6} + 327569942979569 n^{5} + 4735117617797803 n^{4} + 35913617139604007 n^{3} + 150940476384277635 n^{2} + 333694948889427458 n + 303455776188306072\right) a{\left(n + 4 \right)}}{37748736 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(133065017932393 n^{6} + 165079334337376268 n^{5} + 85324664920717757500 n^{4} + 23519006172874096301870 n^{3} + 3646272062612761878089347 n^{2} + 301467519563000041712464142 n + 10384432745337600708228513120\right) a{\left(n + 208 \right)}}{11520 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(789474534721929 n^{6} + 33438568055412530 n^{5} + 581373246334015339 n^{4} + 5317100134081395306 n^{3} + 27008109509584906808 n^{2} + 72309687234161660536 n + 79784921091853007088\right) a{\left(n + 5 \right)}}{150994944 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(12599685529419569 n^{6} + 15576293421647317921 n^{5} + 8022970766515094667305 n^{4} + 2203853600919969431012655 n^{3} + 340510341556308581403199046 n^{2} + 28057818023063396100961429904 n + 963259544196713278730151446400\right) a{\left(n + 207 \right)}}{46080 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(52650523095767085 n^{6} + 63852039704211576169 n^{5} + 32251419428162127924730 n^{4} + 8684149438626149880346345 n^{3} + 1314697718010244819579151525 n^{2} + 106099256748714223714081598626 n + 3565886272941146445785325292320\right) a{\left(n + 206 \right)}}{46080 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(87552676636419299 n^{6} + 4317634578010221305 n^{5} + 87501197269513242465 n^{4} + 933900309178322189715 n^{3} + 5542295534022731669716 n^{2} + 17356356117956183670700 n + 22425482820197978627280\right) a{\left(n + 6 \right)}}{1509949440 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(557165660681648857 n^{6} + 31433016611050608567 n^{5} + 728587468690389511855 n^{4} + 8894597494087704069475 n^{3} + 60393127106249977984738 n^{2} + 216470721464363055126908 n + 320285020162059616641840\right) a{\left(n + 7 \right)}}{1509949440 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(6534510823421375211 n^{6} + 423240799008907562659 n^{5} + 11205408565699795598555 n^{4} + 155699687825277863257565 n^{3} + 1200338986353506143940434 n^{2} + 4876795301691076348254696 n + 8169328197988914307903680\right) a{\left(n + 8 \right)}}{6039797760 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(8113961873230871897 n^{6} + 10055463274195826570989 n^{5} + 5192010933578403994418910 n^{4} + 1429695838585352197637051825 n^{3} + 221437016480512230938952252133 n^{2} + 18290756774693540638314805268766 n + 629474598801301686608748316238280\right) a{\left(n + 205 \right)}}{276480 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(8919733983519692237 n^{6} + 446372497759816502469 n^{5} + 8796428059627436774285 n^{4} + 84185135282721705349275 n^{3} + 373352328761419447221818 n^{2} + 430430347023834482682876 n - 1092563067826284136844760\right) a{\left(n + 9 \right)}}{9059696640 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(109208073809446425817 n^{6} + 6291807016896658057998 n^{5} + 142723880159787701777320 n^{4} + 1571943588161130448061940 n^{3} + 8023773810702404725962223 n^{2} + 10708106362610352544121982 n - 30619263253084279263858960\right) a{\left(n + 10 \right)}}{18119393280 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(247821089736571026163 n^{6} + 303955101652065926931870 n^{5} + 155332145186928823947873065 n^{4} + 42335422769418703594905295050 n^{3} + 6490241825417046178278780534972 n^{2} + 530650324191455381197905767770200 n + 18077424463828898014693175578990080\right) a{\left(n + 204 \right)}}{552960 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(3085944346717362673379 n^{6} + 265056105957135918327956 n^{5} + 9381220450159883477038550 n^{4} + 175271581362234177491737670 n^{3} + 1824512474167356793687284191 n^{2} + 10040234048420648289724689614 n + 22833204171025511574283135920\right) a{\left(n + 11 \right)}}{18119393280 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(4634749890353777463759 n^{6} + 5630895908545050451806101 n^{5} + 2850382601086540793779124455 n^{4} + 769507994565793782236740056995 n^{3} + 116850645316844890907755786065026 n^{2} + 9463094526749425534593124372564064 n + 319307585208023662608707813084146080\right) a{\left(n + 203 \right)}}{2211840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(14966726069625314313488 n^{6} + 18386211924160724053463699 n^{5} + 9409565854762060198353762230 n^{4} + 2567854868575968607371969873165 n^{3} + 394112657788288232718870525780782 n^{2} + 32255004904852180280402627830026676 n + 1099745597707369843890274546084280400\right) a{\left(n + 202 \right)}}{2211840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(99278377090865144851051 n^{6} + 9037846394664794733369507 n^{5} + 340248962026224867741637555 n^{4} + 6781263483390482444049440925 n^{3} + 75479339753562546998535899194 n^{2} + 444988704180824949527824511688 n + 1085922060228541555922923709760\right) a{\left(n + 12 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(250940619781246968685256 n^{6} + 24655613799098480062885848 n^{5} + 1001875570801919019493541855 n^{4} + 21552328615568036021682540090 n^{3} + 258918495651345021753754772009 n^{2} + 1647456924731428953872602853862 n + 4338826139762067476713315614840\right) a{\left(n + 13 \right)}}{27179089920 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(584235661134764832629744 n^{6} + 707271339984652535039607597 n^{5} + 356745324031554891141815199035 n^{4} + 95965416943679791946145817583785 n^{3} + 14520423684436667826493741273500881 n^{2} + 1171731559115999205124461298898584958 n + 39395928027280540169394869906571115920\right) a{\left(n + 201 \right)}}{4423680 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(1534360559175224301644339 n^{6} + 164477132549037276948798162 n^{5} + 7273443790544340584981328530 n^{4} + 169915702028361206453128444440 n^{3} + 2212807121780106339604467237491 n^{2} + 15240280458548180532194067118518 n + 43392521443489843025546582369400\right) a{\left(n + 14 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(2534503117195817395288757 n^{6} + 311329519437396570886498818 n^{5} + 15519380712641325720326477915 n^{4} + 403901273297769848354988385530 n^{3} + 5809380716676653572936419859268 n^{2} + 43902912754302767103689319667752 n + 136477424161290786359885005031640\right) a{\left(n + 15 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(2638400127928417534025035 n^{6} + 178107595227842966541833088 n^{5} + 3084021400859073094748809765 n^{4} - 45543865218263579493051516600 n^{3} - 2224163958092810335316995249820 n^{2} - 27430181604994832399082999565788 n - 115664519100349994900604525262800\right) a{\left(n + 16 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(13477152060271407445752863 n^{6} + 1549382918332929732512690488 n^{5} + 74072340523067526627112502225 n^{4} + 1886245276423346498033714261500 n^{3} + 26998558236804978708118579258352 n^{2} + 206032151157739187336131504799452 n + 655087025639682858970308492408960\right) a{\left(n + 17 \right)}}{18119393280 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(17288965163744817458279299 n^{6} + 20775611941934915241731408772 n^{5} + 10402013058711033793934082277315 n^{4} + 2777600434750240289906432341206180 n^{3} + 417190921962338692255455398216282266 n^{2} + 33418652077968893834627988124130515488 n + 1115378172105742322109068830868040705000\right) a{\left(n + 200 \right)}}{26542080 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(106096228521794875275384563 n^{6} + 126158476730956589591465894715 n^{5} + 62506833362155538807941548421865 n^{4} + 16517503697925339018951100227854865 n^{3} + 2455230892062960497781124006547832572 n^{2} + 194647525570186384197427438591343549580 n + 6429919563974830164726108551175376963200\right) a{\left(n + 199 \right)}}{106168320 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(189525724339107360063190009 n^{6} + 24509515269599642969874281598 n^{5} + 1311282580945796840152047195235 n^{4} + 37197857303059470259010485690470 n^{3} + 590634129772750705429888082746876 n^{2} + 4980338071636620811922512823295612 n + 17431536153991202888544691643801160\right) a{\left(n + 18 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(222404070557829826855524437 n^{6} + 31912987972135414830846391570 n^{5} + 1875893413327020245656802275460 n^{4} + 58037483473818407125156814941120 n^{3} + 999320590902346730544112090691303 n^{2} + 9096184024791109138108985667094630 n + 34240077414737372810306224877382360\right) a{\left(n + 19 \right)}}{18119393280 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(413855478181707319178643391 n^{6} + 496642304919497829536593136271 n^{5} + 248268061647209585231630173910785 n^{4} + 66174505752807201931072856109020625 n^{3} + 9919221535457482664043411281410622344 n^{2} + 792789975345813269406947830983042643464 n + 26395068008388923157036677590460605595040\right) a{\left(n + 198 \right)}}{106168320 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(843334945723049310902158796 n^{6} + 131837478168299545063326330578 n^{5} + 8373173862096672773523648649045 n^{4} + 278300747998501614905741630165660 n^{3} + 5126521794969291813157061173442259 n^{2} + 49763973775218857483955273881421902 n + 199275400896105292430455669918868160\right) a{\left(n + 20 \right)}}{18119393280 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(11351715972249260100585932965 n^{6} + 1862923088491192564019300732694 n^{5} + 124312167275239079817551346147550 n^{4} + 4342711449097415843034162303508920 n^{3} + 84087898347401350281552875323215745 n^{2} + 857964081039493405099966070238897726 n + 3610751789890884837112717040331873480\right) a{\left(n + 21 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(13412567928760843665205507813 n^{6} + 15984038168468808999312073778877 n^{5} + 7936119862085624246442950545956205 n^{4} + 2101296099503334593184647437964129235 n^{3} + 312930302303053122084523616642615355022 n^{2} + 24852249660608086265574061765916515986288 n + 822302723150191720530081244692402747599520\right) a{\left(n + 197 \right)}}{424673280 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(15333921199312479627247294285 n^{6} + 2617253322238575475716353456676 n^{5} + 182149125989324344122561325789815 n^{4} + 6647564619134507863351132063966340 n^{3} + 134608945272290519347114690103929760 n^{2} + 1437250690823034401459903560710095644 n + 6332329624129324523817219931114331520\right) a{\left(n + 22 \right)}}{18119393280 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(46815901878723933554082646947 n^{6} + 8391296453701475658401860422257 n^{5} + 613348493039511342296292670735905 n^{4} + 23506755787242760624301908057015075 n^{3} + 499752563052321138421893644290136388 n^{2} + 5600671631597589909552252441487544868 n + 25891810162473462650377540206121260960\right) a{\left(n + 23 \right)}}{18119393280 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(86480787473884179001134934885 n^{6} + 102521041793577193439093887520361 n^{5} + 50642003383329520962998759738699965 n^{4} + 13342073367139118662397419534166558355 n^{3} + 1977307723723882642844569831198623481990 n^{2} + 156293171273922021894449476012005608670564 n + 5147669805189826694963053100800436802032760\right) a{\left(n + 196 \right)}}{424673280 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(260862421283200190536759572577 n^{6} + 55101692125324356794184175459062 n^{5} + 4672015702578530895456673427490025 n^{4} + 205356622947021337865494777300841940 n^{3} + 4964170176768548676126017829513001408 n^{2} + 62830628970947871788419365141359229108 n + 326265745054715579906020682399552086440\right) a{\left(n + 25 \right)}}{27179089920 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(308486910766824779702202622627 n^{6} + 59195088182636365506385405815606 n^{5} + 4611976331231512343332352692900480 n^{4} + 187791112572355936815210780247834500 n^{3} + 4230811416827092347475710303187563433 n^{2} + 50140703453732896081384285172707970154 n + 244706221190587400396846538715754205840\right) a{\left(n + 24 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(359677681352473764763820376237 n^{6} + 79400186905854526078013145431275 n^{5} + 7092334123463646359214325273612695 n^{4} + 329327700765946504674971209738480245 n^{3} + 8413672352241737818477643975302545288 n^{2} + 112475460726517919903195736062774661860 n + 616229842770053847470108718239092239480\right) a{\left(n + 26 \right)}}{18119393280 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(1963195843559976250615660481789 n^{6} + 2312248524718905644888247391546089 n^{5} + 1134874102087776380761888570566612215 n^{4} + 297107236019559360023929222505820797355 n^{3} + 43757754675038265440245510778969454662156 n^{2} + 3437552604886538141411194632260634805704636 n + 112534652738304502448707371450870507527295120\right) a{\left(n + 195 \right)}}{1698693120 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(2191595454034086278560270272913 n^{6} + 442534790952829848323141962760886 n^{5} + 37590239938087258633683134182798825 n^{4} + 1706329380752336275668631970937023040 n^{3} + 43440618531692807863809516989713060402 n^{2} + 586386024183760460995567536305014489494 n + 3273718755170975140130630926813426146960\right) a{\left(n + 27 \right)}}{27179089920 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(2218923088110711122176830908819 n^{6} + 2546023458986769092090556278854169 n^{5} + 1216750090550500911012672130832813485 n^{4} + 310000791402745157113200702705106810907 n^{3} + 44408251899627872404004276907196814504784 n^{2} + 3391353187018602998657333750735339906769596 n + 107863177117338643719699821325357420563440128\right) a{\left(n + 193 \right)}}{226492416 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(4820786457927409467919941432367 n^{6} + 5662977674161162103241991905866595 n^{5} + 2772470537559018877350556941640892455 n^{4} + 724091141037925225668660782803007491605 n^{3} + 106401207585827312006311970400837115830178 n^{2} + 8340691599382328224647238499901001632293760 n + 272488807426399443632979132031204166568813120\right) a{\left(n + 194 \right)}}{1698693120 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(10276458411691698671198926681171 n^{6} + 1960960721646579798340046907346347 n^{5} + 158892713437651365602417423017235500 n^{4} + 6966506625415344249373282207600895415 n^{3} + 173529125591888401400878329219460995979 n^{2} + 2319062721036661305344092218951040527288 n + 12948041502756470775912004746858897447300\right) a{\left(n + 28 \right)}}{27179089920 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(27718091631760248167081346508741 n^{6} + 5246874608647805850346477278531869 n^{5} + 420774935374582831884093245392937945 n^{4} + 18273843886302219490462416576928064995 n^{3} + 452307506019602637593846847960971972814 n^{2} + 6034192957233017828129964885659382273876 n + 33807695027175529890427785455093377275720\right) a{\left(n + 29 \right)}}{18119393280 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(48251115732012706014423304479669 n^{6} + 9275341065186936733722718298506852 n^{5} + 753273383995012614809155416652637175 n^{4} + 33079871334527180512770790909549276530 n^{3} + 827808140708849853299305586890388256126 n^{2} + 11176318212402334193367613843387971118688 n + 63483014906882765947953798399135919078920\right) a{\left(n + 30 \right)}}{9059696640 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(302690787040867947625531837307684 n^{6} + 347494913353551914248239463759156197 n^{5} + 166210822672046257568570725403505777920 n^{4} + 42397601994454353903066540695274744235455 n^{3} + 6082999797220927738777140280743814409359916 n^{2} + 465440940003002183061869636004844097362576428 n + 14837857784931985209663236461688137498852956000\right) a{\left(n + 192 \right)}}{3397386240 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(398373264418670536283284621159984 n^{6} + 444891318051710027732114408309396307 n^{5} + 206865423354717677182456608987468477076 n^{4} + 51260755630459368858770736191895826885389 n^{3} + 7139215440967133145751675640221510995452800 n^{2} + 529834700374354031030611053500121876637923132 n + 16369023733806501432005341947189413345925952608\right) a{\left(n + 190 \right)}}{679477248 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(574161747239271623717324659407748 n^{6} + 659104336709691220780562382660621249 n^{5} + 315285792504398412674331870944306451595 n^{4} + 80444247679837286731014186177281035023165 n^{3} + 11546485206367431485551512963084964393468897 n^{2} + 883985341052181994077085360560401641552275186 n + 28201409702612425917893237702273285912420928480\right) a{\left(n + 191 \right)}}{3397386240 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(893908820710699448504044820631269 n^{6} + 175975355910260777307059718662296062 n^{5} + 14612270971285720691897074770428973095 n^{4} + 655420890075702127684450578481536773730 n^{3} + 16745474728487521133990331483419903783096 n^{2} + 230865705197483225329824950480809781397588 n + 1340017716164522062406839357948359021645120\right) a{\left(n + 31 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(2497553507603392168056796246559600 n^{6} + 503556658458525756859669717079659977 n^{5} + 42780718635912358435158899280716093510 n^{4} + 1962168120819754123985652471133114893615 n^{3} + 51258112199578576541566861190524341820850 n^{2} + 722835243781453410161308517272621150084728 n + 4294740496888282474307890843401117573350280\right) a{\left(n + 32 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(5208354066002091358096625764561477 n^{6} + 5784389078290438379696198070962845138 n^{5} + 2675660042747422001780330209755080928400 n^{4} + 659816408162637989952413335421431780076580 n^{3} + 91484952189538465775701147569135639286528123 n^{2} + 6762045481699179414259673024772104274061404242 n + 208156082400958771912462445437926787306642000560\right) a{\left(n + 188 \right)}}{1132462080 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - 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\frac{\left(3045575079688449373406300735544947098771886195963573 n^{6} + 2257763555381156050493539146773283993996863620328928837 n^{5} + 697422985955031849897564614092105060041795212389562353580 n^{4} + 114903206856418760546380239425275937823434021740319900866005 n^{3} + 10649015234635932174684454686009849642832613567956220929051187 n^{2} + 526385486860074586381261510477319451836120718452682978054447858 n + 10841893788786725255349808380872023745167144419397778287118612160\right) a{\left(n + 123 \right)}}{27179089920 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(3241566852566541392573706318997050109527811172572934 n^{6} + 2281557921141155405620392614450716116326069532810711780 n^{5} + 669243393345343321996093453365273501552511335453061263815 n^{4} + 104717898183223919472258480218905113003833228264521752914070 n^{3} + 9218577472419382201226394727324016566869057878828805333343001 n^{2} + 432899790122383095069029845212941427019243189129943909803839900 n + 8471872549001503056849249068702190879210432386611001842377620880\right) a{\left(n + 117 \right)}}{27179089920 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(3421806149275251146654844681264997271801111371760308 n^{6} + 2186195930942807956246644237129457296912643408931619972 n^{5} + 581845580606904886658484854518628855882807869926886984195 n^{4} + 82569983200888943247421985431905449341687676472225045159030 n^{3} + 6589568327703923816340483676332304195164673461312607858146397 n^{2} + 280406986865985043362588476188489475808804049194490112457910338 n + 4970593711354519129838362172611265088043496165431971379463734080\right) a{\left(n + 106 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(3721655179440881601088912492135203440409859352364613 n^{6} + 2822138573045813916799247597909119186979972630690182179 n^{5} + 891571012238622539904901550808747093411202918248620587255 n^{4} + 150202902874061677151769384761330817173357839571337542948685 n^{3} + 14232090424621804186710565711086223766594338913318670396017992 n^{2} + 719122107400552506012841668796661427761492915881924797337271316 n + 15138037602253289085997315771809061646833334321743983789171527640\right) a{\left(n + 127 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(4015232555410425549341795864676447158382516462716855 n^{6} + 2584453244274884223895809742566044286503630011092852324 n^{5} + 693005024806575173504604417117829728999051984774169522205 n^{4} + 99088668420512241600734003374514779151366916896380344153840 n^{3} + 7968111699361868984927988386316576437379200630077213502009780 n^{2} + 341670006210168831682171350046643670547392583579363354424651436 n + 6103349642566861078399043042415803287085950059366455799469871280\right) a{\left(n + 107 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(4470309480866080891508797840499032285777972222033747 n^{6} + 3374697836038743675088164753252940250762143248688226745 n^{5} + 1061438274527759476590577138903474784139413752794925112785 n^{4} + 178043903911087257589874669005363025869662530822032715988855 n^{3} + 16797931328702599556102259475175741753844748460466277547895088 n^{2} + 845195277354055825489148937406335059826486566099883033685191420 n + 17718256250522418959127648775989613619548525872997947061855994160\right) a{\left(n + 126 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(4569158402899663753787431051816470519476760786394181 n^{6} + 2963743300456811110606643726895802218301821910869440721 n^{5} + 800894397728987961840310424480881496780373632304667437995 n^{4} + 115411745049983901047549332299888866255037636244149806037015 n^{3} + 9353806305107064716037375721735955036656172171403113811241544 n^{2} + 404265053047386949358649896518040824593752704627511115221611944 n + 7279022831696086647885638119123785220735394454195533302693561920\right) a{\left(n + 108 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(5059526766391982288575838442355788416977206877963075 n^{6} + 3308039781721208010970553086832133581157405194223442008 n^{5} + 901115203289139591603968448094999749786219366879242040055 n^{4} + 130902583591603291274626299036182472919033983612908525033460 n^{3} + 10695417125192253761124945820273646471086693954477272379585750 n^{2} + 466019909384837995684602380294703441335781394091589166759088652 n + 8459755855303176063618208846436360397152187497504899462393922040\right) a{\left(n + 109 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(5469367030403369406432977749374127284106015082953351 n^{6} + 3605502518169296061121456339788812717784065073473995224 n^{5} + 990287212802242562427566770384781712773987907605174724040 n^{4} + 145054955955448085588805512401588225279709553024025769887890 n^{3} + 11950970310332789263173708897296181601373798864820162963176449 n^{2} + 525107783613462390966330133580956965319834274948128751703161766 n + 9612972270180023535521681749899747473856141852994799465703851520\right) a{\left(n + 110 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(5680548114277653779117753815132667918225400160309681 n^{6} + 4239411357597460589552989287187499404514812352512824135 n^{5} + 1318305020731772261082494740504542025424705382569937555340 n^{4} + 218640744302902790728773022883678256084126194731647008862195 n^{3} + 20397399827527085856520242446432131483642169433981621661304839 n^{2} + 1014899774843664975045919390901304542106881284264145187079181850 n + 21040987515071123696117981818193276368031792004901948442153638920\right) a{\left(n + 124 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(5791054201879695718410350181758507593944287666455855 n^{6} + 3850125316478648697986863876521743725591423324549546224 n^{5} + 1066539788492787648856753306882975754773692915303182827915 n^{4} + 157570002655720751637300928679333294127715095104319337768620 n^{3} + 13094454036253225877088088395941493701560148290689630479804350 n^{2} + 580355421982492304573973891384617081757349461241086038860080396 n + 10717233134915064438103738651003841525077147918322167266220702440\right) a{\left(n + 111 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(6189501154423961300397619993840164288231090223898642 n^{6} + 4189455955825339422975617105782460747238184867622653263 n^{5} + 1181635879295580697525179343984535295420057310710409355570 n^{4} + 177763658880865553521888331016347881906239140732497635608325 n^{3} + 15043834165041208484386004940216513055316284987162363819425548 n^{2} + 679056091729240858061457847593269010641078385910800762490828332 n + 12772425812201226195961774167366079450599682708354401272279581080\right) a{\left(n + 113 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(6296756509872963747293367111280262731482590624546489 n^{6} + 4302545840935401647125734373795588329309970050106225536 n^{5} + 1225116346527231545281626252638526245558348253274049865455 n^{4} + 186072185027671976981493899480458131366690138856615511647260 n^{3} + 15898666840737687336147911601775529045517641808283454664122876 n^{2} + 724586531121530185304236038366864466263300183201607489057219464 n + 13761286391890103660074475402927382309332201209144543829755879920\right) a{\left(n + 114 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(6370146167894670362937196900479155137295328160640809 n^{6} + 4395308609504192111869894617921733945703555551545829770 n^{5} + 1263831177995811593861914421511660657509636814916196438125 n^{4} + 193846202004430118768643774830346633365755300224096171786690 n^{3} + 16726946017788655435828575483516365801778506998486580787944146 n^{2} + 769913733524532949071000764321783749686286306982944991187841740 n + 14768018275627347458866710200902493251861929920503486950600601560\right) a{\left(n + 115 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(6428428387189230180339085003035601280808715529396230 n^{6} + 4479780894706503394329725281885801220281257218385038463 n^{5} + 1301008116377910702536884639298692397425529578421468013325 n^{4} + 201550090614044113908320442365425238148006040451632936075215 n^{3} + 17566611958390831688351678844373580026510316555268896782825105 n^{2} + 816713327249533504659394311697059919712890630423229012684314182 n + 15824000386247949624656609253799284740902784585970956063819996760\right) a{\left(n + 116 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(6519861404404688300327041800398329180332773225328572 n^{6} + 4760719113226723965397624493527407530595284980248329544 n^{5} + 1448584981334254933185284242383012272231497065577434904505 n^{4} + 235104608443770116303746025392158466700703689064962497407390 n^{3} + 21465768264475746190917402416734062839328285778035103707983303 n^{2} + 1045381213305708049726116327653912608974623224525736677910990526 n + 21214588261359250794432228987261096371510285103229855580370295560\right) a{\left(n + 121 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} - \frac{\left(6574535788399144467748109257057134919848422035490404 n^{6} + 4717522098884396870651388301528932092723709229251306942 n^{5} + 1410676889808558829323438700432590651712361390012858263255 n^{4} + 225016227173232005855184351436391886306598276271043482014200 n^{3} + 20192707793755490634152158658848468997675358127636772153713381 n^{2} + 966593541555172188233806443488868265513223397501361441273839378 n + 19281900659632539406420802410757797256592590856305212692827743680\right) a{\left(n + 119 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)} + \frac{\left(6579084500299164265315937851371060131949350369230796 n^{6} + 4763510556733551139917084971100243234178119323107452510 n^{5} + 1437277544341465993496320827640088261601184798427779360745 n^{4} + 231320500159805787153400204093503519933307189081807874516820 n^{3} + 20944479354320647925072620335599526845478979484759831481178139 n^{2} + 1011536137331175029413823365671077075428123766216422488605776110 n + 20358131294450027348290907313450762245842310053507987091837828040\right) a{\left(n + 120 \right)}}{54358179840 \left(n + 213\right) \left(n + 214\right) \left(n + 215\right) \left(n + 216\right) \left(3 n + 643\right) \left(3 n + 647\right)}, \quad n \geq 214
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24923/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[18,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[18,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]+F[172,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[18,x]*F[44,x]
F[13,x] = F[14,x]+F[21,x]
F[14,x] = F[15,x]+F[4,x]
F[15,x] = F[16,x]+F[19,x]
F[16,x] = F[17,x]
F[17,x] = F[13,x]*F[18,x]
F[18,x] = x
F[19,x] = F[20,x]
F[20,x] = F[11,x]*F[18,x]
F[21,x] = F[22,x]
F[22,x] = F[18,x]*F[23,x]
F[23,x] = F[157,x]+F[24,x]
F[24,x] = F[25,x]+F[4,x]
F[25,x] = -F[28,x]+F[26,x]
F[26,x] = 1/F[18,x]*F[27,x]
F[27,x] = F[6,x]
F[28,x] = F[15,x]+F[29,x]
F[29,x] = F[30,x]+F[31,x]
F[30,x] = F[18,x]*F[5,x]
F[31,x] = F[32,x]
F[32,x] = F[18,x]*F[33,x]
F[33,x] = F[136,x]+F[34,x]
F[34,x] = F[132,x]+F[35,x]
F[35,x] = F[36,x]+F[39,x]
F[36,x] = F[37,x]*F[5,x]
F[37,x] = F[38,x]
F[38,x] = F[18,x]*F[24,x]
F[39,x] = F[40,x]
F[40,x] = F[18,x]*F[41,x]*F[43,x]
F[41,x] = F[42,x]
F[42,x] = F[18,x]*F[23,x]
F[43,x] = F[105,x]+F[44,x]
F[44,x] = F[0,x]+F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[18,x]*F[47,x]
F[47,x] = F[48,x]+F[57,x]
F[48,x] = F[44,x]+F[49,x]
F[49,x] = -F[57,x]+F[50,x]
F[50,x] = 1/F[18,x]*F[51,x]
F[51,x] = F[52,x]
F[52,x] = -F[2,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[18,x]*F[55,x]
F[55,x] = 1/F[18,x]*F[56,x]
F[56,x] = F[5,x]
F[57,x] = F[58,x]
F[58,x] = F[18,x]*F[59,x]
F[59,x] = F[103,x]+F[60,x]
F[60,x] = 1/F[18,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = -F[65,x]+F[63,x]
F[63,x] = 1/F[18,x]*F[64,x]
F[64,x] = F[52,x]
F[65,x] = -F[68,x]+F[66,x]
F[66,x] = 1/F[18,x]*F[67,x]
F[67,x] = F[53,x]
F[68,x] = F[69,x]+F[70,x]
F[69,x] = F[0,x]+F[53,x]
F[70,x] = F[71,x]
F[71,x] = F[18,x]*F[72,x]
F[72,x] = F[73,x]+F[89,x]
F[73,x] = F[74,x]+F[75,x]
F[74,x] = F[0,x]*F[68,x]
F[75,x] = F[76,x]
F[76,x] = F[18,x]*F[55,x]*F[77,x]
F[77,x] = F[68,x]+F[78,x]
F[78,x] = 1/F[0,x]*F[79,x]
F[79,x] = -F[73,x]+F[80,x]
F[80,x] = 1/F[18,x]*F[81,x]
F[81,x] = F[82,x]
F[82,x] = -F[85,x]+F[83,x]
F[83,x] = 1/F[18,x]*F[84,x]
F[84,x] = F[52,x]
F[85,x] = F[86,x]
F[86,x] = F[18,x]*F[87,x]
F[87,x] = 1/F[18,x]*F[88,x]
F[88,x] = F[62,x]
F[89,x] = F[90,x]+F[92,x]
F[90,x] = F[0,x]*F[91,x]
F[91,x] = F[61,x]
F[92,x] = F[93,x]
F[93,x] = F[101,x]*F[18,x]*F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[18,x]*F[96,x]
F[96,x] = F[0,x]+F[97,x]
F[97,x] = F[98,x]
F[98,x] = F[18,x]*F[44,x]*F[99,x]
F[99,x] = F[0,x]+F[100,x]
F[100,x] = F[3,x]
F[101,x] = 1/F[18,x]*F[102,x]
F[102,x] = F[78,x]
F[103,x] = F[104,x]
F[104,x] = F[101,x]*F[18,x]
F[105,x] = -F[108,x]+F[106,x]
F[106,x] = 1/F[18,x]*F[107,x]
F[107,x] = F[6,x]
F[108,x] = F[109,x]+F[117,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[18,x]
F[111,x] = F[112,x]+F[47,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[18,x]
F[114,x] = F[115,x]+F[48,x]
F[115,x] = F[116,x]
F[116,x] = F[101,x]*F[18,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[18,x]
F[119,x] = F[120,x]
F[120,x] = F[121,x]*F[122,x]*F[129,x]*F[18,x]
F[121,x] = F[1,x]+F[18,x]
F[122,x] = F[1,x]+F[123,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[18,x]
F[125,x] = F[121,x]+F[126,x]
F[126,x] = F[123,x]+F[127,x]
F[127,x] = F[128,x]
F[128,x] = F[123,x]*F[18,x]
F[129,x] = F[130,x]+F[47,x]
F[130,x] = F[131,x]
F[131,x] = F[114,x]*F[18,x]
F[132,x] = F[133,x]
F[133,x] = F[134,x]*F[18,x]*F[41,x]
F[134,x] = F[135,x]
F[135,x] = F[122,x]*F[129,x]*F[18,x]
F[136,x] = F[137,x]+F[153,x]
F[137,x] = F[138,x]+F[142,x]
F[138,x] = F[139,x]*F[5,x]
F[139,x] = F[140,x]
F[140,x] = F[141,x]*F[18,x]
F[141,x] = F[11,x]+F[4,x]
F[142,x] = F[143,x]
F[143,x] = F[144,x]*F[18,x]
F[144,x] = F[145,x]+F[149,x]
F[145,x] = F[146,x]+F[147,x]
F[146,x] = F[12,x]
F[147,x] = F[148,x]
F[148,x] = F[11,x]*F[18,x]*F[44,x]
F[149,x] = F[150,x]
F[150,x] = F[105,x]*F[151,x]*F[18,x]
F[151,x] = F[152,x]+F[21,x]
F[152,x] = F[141,x]+F[15,x]
F[153,x] = F[154,x]
F[154,x] = F[155,x]*F[18,x]
F[155,x] = F[156,x]
F[156,x] = F[134,x]*F[151,x]*F[18,x]
F[157,x] = F[15,x]+F[158,x]
F[158,x] = F[159,x]
F[159,x] = F[160,x]*F[18,x]
F[160,x] = F[11,x]+F[161,x]
F[161,x] = F[162,x]
F[162,x] = F[163,x]*F[18,x]*F[44,x]
F[163,x] = F[11,x]+F[164,x]
F[164,x] = 1/F[101,x]*F[165,x]
F[165,x] = F[166,x]
F[166,x] = -F[186,x]+F[167,x]
F[167,x] = 1/F[18,x]*F[168,x]
F[168,x] = F[169,x]
F[169,x] = -F[185,x]+F[170,x]
F[170,x] = 1/F[18,x]*F[171,x]
F[171,x] = F[172,x]
F[172,x] = F[173,x]+F[176,x]
F[173,x] = F[174,x]
F[174,x] = F[175,x]*F[18,x]*F[50,x]
F[175,x] = F[0,x]+F[16,x]
F[176,x] = F[177,x]
F[177,x] = F[178,x]*F[18,x]
F[178,x] = F[179,x]+F[182,x]
F[179,x] = F[180,x]*F[50,x]
F[180,x] = F[181,x]+F[19,x]
F[181,x] = F[2,x]+F[6,x]
F[182,x] = F[183,x]
F[183,x] = F[184,x]*F[21,x]
F[184,x] = F[115,x]+F[49,x]
F[185,x] = F[11,x]*F[69,x]
F[186,x] = F[187,x]+F[188,x]
F[187,x] = F[152,x]*F[60,x]
F[188,x] = F[189,x]
F[189,x] = F[101,x]*F[21,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{18}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{172}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{18}\! \left(x \right) F_{44}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{21}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{19}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{13}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = x
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{11}\! \left(x \right) F_{18}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{18}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{157}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = \frac{F_{27}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{27}\! \left(x \right) = F_{6}\! \left(x \right)
F_{28}\! \left(x \right) = F_{15}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{31}\! \left(x \right)
F_{30}\! \left(x \right) = F_{18}\! \left(x \right) F_{5}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{18}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{136}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{132}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{39}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right) F_{5}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{18}\! \left(x \right) F_{24}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{18}\! \left(x \right) F_{41}\! \left(x \right) F_{43}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{18}\! \left(x \right) F_{23}\! \left(x \right)
F_{43}\! \left(x \right) = F_{105}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{0}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{18}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{57}\! \left(x \right)
F_{48}\! \left(x \right) = F_{44}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{57}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{18}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = \frac{F_{56}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{56}\! \left(x \right) = F_{5}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{18}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{103}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = \frac{F_{64}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{64}\! \left(x \right) = F_{52}\! \left(x \right)
F_{65}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = \frac{F_{67}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{67}\! \left(x \right) = F_{53}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{70}\! \left(x \right)
F_{69}\! \left(x \right) = F_{0}\! \left(x \right)+F_{53}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{18}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{89}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{75}\! \left(x \right)
F_{74}\! \left(x \right) = F_{0}\! \left(x \right) F_{68}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{18}\! \left(x \right) F_{55}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{68}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = \frac{F_{79}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{79}\! \left(x \right) = -F_{73}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = \frac{F_{81}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = -F_{85}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{84}\! \left(x \right) = F_{52}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{18}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = \frac{F_{88}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{88}\! \left(x \right) = F_{62}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{92}\! \left(x \right)
F_{90}\! \left(x \right) = F_{0}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{61}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{101}\! \left(x \right) F_{18}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{18}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{0}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{18}\! \left(x \right) F_{44}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{0}\! \left(x \right)+F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{3}\! \left(x \right)
F_{101}\! \left(x \right) = \frac{F_{102}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{102}\! \left(x \right) = F_{78}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{101}\! \left(x \right) F_{18}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = \frac{F_{107}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{107}\! \left(x \right) = F_{6}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{117}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{18}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{47}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{18}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{48}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{101}\! \left(x \right) F_{18}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{18}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{122}\! \left(x \right) F_{129}\! \left(x \right) F_{18}\! \left(x \right)
F_{121}\! \left(x \right) = F_{1}\! \left(x \right)+F_{18}\! \left(x \right)
F_{122}\! \left(x \right) = F_{1}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{18}\! \left(x \right)
F_{125}\! \left(x \right) = F_{121}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{123}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{123}\! \left(x \right) F_{18}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{47}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{114}\! \left(x \right) F_{18}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{18}\! \left(x \right) F_{41}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{122}\! \left(x \right) F_{129}\! \left(x \right) F_{18}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{153}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{142}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{5}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{18}\! \left(x \right)
F_{141}\! \left(x \right) = F_{11}\! \left(x \right)+F_{4}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{18}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{149}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{147}\! \left(x \right)
F_{146}\! \left(x \right) = F_{12}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{11}\! \left(x \right) F_{18}\! \left(x \right) F_{44}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{105}\! \left(x \right) F_{151}\! \left(x \right) F_{18}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{21}\! \left(x \right)
F_{152}\! \left(x \right) = F_{141}\! \left(x \right)+F_{15}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right) F_{18}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{134}\! \left(x \right) F_{151}\! \left(x \right) F_{18}\! \left(x \right)
F_{157}\! \left(x \right) = F_{15}\! \left(x \right)+F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{18}\! \left(x \right)
F_{160}\! \left(x \right) = F_{11}\! \left(x \right)+F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{18}\! \left(x \right) F_{44}\! \left(x \right)
F_{163}\! \left(x \right) = F_{11}\! \left(x \right)+F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = \frac{F_{165}\! \left(x \right)}{F_{101}\! \left(x \right)}
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = -F_{186}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = \frac{F_{168}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = -F_{185}\! \left(x \right)+F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = \frac{F_{171}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{176}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right) F_{18}\! \left(x \right) F_{50}\! \left(x \right)
F_{175}\! \left(x \right) = F_{0}\! \left(x \right)+F_{16}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right) F_{18}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{182}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right) F_{50}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{19}\! \left(x \right)
F_{181}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{21}\! \left(x \right)
F_{184}\! \left(x \right) = F_{115}\! \left(x \right)+F_{49}\! \left(x \right)
F_{185}\! \left(x \right) = F_{11}\! \left(x \right) F_{69}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{188}\! \left(x \right)
F_{187}\! \left(x \right) = F_{152}\! \left(x \right) F_{60}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{101}\! \left(x \right) F_{21}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_18(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_18(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_172(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_18(x)*F_44(x))
Eq(F_13(x), F_14(x) + F_21(x))
Eq(F_14(x), F_15(x) + F_4(x))
Eq(F_15(x), F_16(x) + F_19(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_13(x)*F_18(x))
Eq(F_18(x), x)
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_11(x)*F_18(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_18(x)*F_23(x))
Eq(F_23(x), F_157(x) + F_24(x))
Eq(F_24(x), F_25(x) + F_4(x))
Eq(F_25(x), F_26(x) - F_28(x))
Eq(F_26(x), F_27(x)/F_18(x))
Eq(F_27(x), F_6(x))
Eq(F_28(x), F_15(x) + F_29(x))
Eq(F_29(x), F_30(x) + F_31(x))
Eq(F_30(x), F_18(x)*F_5(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_18(x)*F_33(x))
Eq(F_33(x), F_136(x) + F_34(x))
Eq(F_34(x), F_132(x) + F_35(x))
Eq(F_35(x), F_36(x) + F_39(x))
Eq(F_36(x), F_37(x)*F_5(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_18(x)*F_24(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_18(x)*F_41(x)*F_43(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_18(x)*F_23(x))
Eq(F_43(x), F_105(x) + F_44(x))
Eq(F_44(x), F_0(x) + F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_18(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_57(x))
Eq(F_48(x), F_44(x) + F_49(x))
Eq(F_49(x), F_50(x) - F_57(x))
Eq(F_50(x), F_51(x)/F_18(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), -F_2(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_18(x)*F_55(x))
Eq(F_55(x), F_56(x)/F_18(x))
Eq(F_56(x), F_5(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_18(x)*F_59(x))
Eq(F_59(x), F_103(x) + F_60(x))
Eq(F_60(x), F_61(x)/F_18(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_63(x) - F_65(x))
Eq(F_63(x), F_64(x)/F_18(x))
Eq(F_64(x), F_52(x))
Eq(F_65(x), F_66(x) - F_68(x))
Eq(F_66(x), F_67(x)/F_18(x))
Eq(F_67(x), F_53(x))
Eq(F_68(x), F_69(x) + F_70(x))
Eq(F_69(x), F_0(x) + F_53(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_18(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_89(x))
Eq(F_73(x), F_74(x) + F_75(x))
Eq(F_74(x), F_0(x)*F_68(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_18(x)*F_55(x)*F_77(x))
Eq(F_77(x), F_68(x) + F_78(x))
Eq(F_78(x), F_79(x)/F_0(x))
Eq(F_79(x), -F_73(x) + F_80(x))
Eq(F_80(x), F_81(x)/F_18(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_83(x) - F_85(x))
Eq(F_83(x), F_84(x)/F_18(x))
Eq(F_84(x), F_52(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_18(x)*F_87(x))
Eq(F_87(x), F_88(x)/F_18(x))
Eq(F_88(x), F_62(x))
Eq(F_89(x), F_90(x) + F_92(x))
Eq(F_90(x), F_0(x)*F_91(x))
Eq(F_91(x), F_61(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_101(x)*F_18(x)*F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_18(x)*F_96(x))
Eq(F_96(x), F_0(x) + F_97(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_18(x)*F_44(x)*F_99(x))
Eq(F_99(x), F_0(x) + F_100(x))
Eq(F_100(x), F_3(x))
Eq(F_101(x), F_102(x)/F_18(x))
Eq(F_102(x), F_78(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_101(x)*F_18(x))
Eq(F_105(x), F_106(x) - F_108(x))
Eq(F_106(x), F_107(x)/F_18(x))
Eq(F_107(x), F_6(x))
Eq(F_108(x), F_109(x) + F_117(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x)*F_18(x))
Eq(F_111(x), F_112(x) + F_47(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_18(x))
Eq(F_114(x), F_115(x) + F_48(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_101(x)*F_18(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_18(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x)*F_122(x)*F_129(x)*F_18(x))
Eq(F_121(x), F_1(x) + F_18(x))
Eq(F_122(x), F_1(x) + F_123(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)*F_18(x))
Eq(F_125(x), F_121(x) + F_126(x))
Eq(F_126(x), F_123(x) + F_127(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_123(x)*F_18(x))
Eq(F_129(x), F_130(x) + F_47(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_114(x)*F_18(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x)*F_18(x)*F_41(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_122(x)*F_129(x)*F_18(x))
Eq(F_136(x), F_137(x) + F_153(x))
Eq(F_137(x), F_138(x) + F_142(x))
Eq(F_138(x), F_139(x)*F_5(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x)*F_18(x))
Eq(F_141(x), F_11(x) + F_4(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_144(x)*F_18(x))
Eq(F_144(x), F_145(x) + F_149(x))
Eq(F_145(x), F_146(x) + F_147(x))
Eq(F_146(x), F_12(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_11(x)*F_18(x)*F_44(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_105(x)*F_151(x)*F_18(x))
Eq(F_151(x), F_152(x) + F_21(x))
Eq(F_152(x), F_141(x) + F_15(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_155(x)*F_18(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_134(x)*F_151(x)*F_18(x))
Eq(F_157(x), F_15(x) + F_158(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_160(x)*F_18(x))
Eq(F_160(x), F_11(x) + F_161(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x)*F_18(x)*F_44(x))
Eq(F_163(x), F_11(x) + F_164(x))
Eq(F_164(x), F_165(x)/F_101(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_167(x) - F_186(x))
Eq(F_167(x), F_168(x)/F_18(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_170(x) - F_185(x))
Eq(F_170(x), F_171(x)/F_18(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_173(x) + F_176(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), F_175(x)*F_18(x)*F_50(x))
Eq(F_175(x), F_0(x) + F_16(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_178(x)*F_18(x))
Eq(F_178(x), F_179(x) + F_182(x))
Eq(F_179(x), F_180(x)*F_50(x))
Eq(F_180(x), F_181(x) + F_19(x))
Eq(F_181(x), F_2(x) + F_6(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x)*F_21(x))
Eq(F_184(x), F_115(x) + F_49(x))
Eq(F_185(x), F_11(x)*F_69(x))
Eq(F_186(x), F_187(x) + F_188(x))
Eq(F_187(x), F_152(x)*F_60(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_101(x)*F_21(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[2, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 1], [2, 0]]}, 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4], [0, 4], [0, 5], [2, 5]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 4], [0, 5], [0, 5], [0, 5]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 4], [0, 5], [0, 5], [2, 5]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 3], [0, 5], [0, 5], [0, 5]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 4], [0, 4], [0, 5], [0, 5]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 4], [0, 4], [0, 5], [2, 5]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 4], [0, 5], [0, 5], [0, 5]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 4], [0, 5], [0, 5], [2, 5]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 3], [0, 5], [0, 5], [0, 5]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 4], [0, 5], [0, 5], [0, 5]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 4], [0, 5], [0, 5], [2, 5]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 5], [2, 5], [2, 5], [2, 5]]}, {"patt": [0, 2, 3, 1], "pos": [[4, 0], [4, 2], [4, 2], [4, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[4, 2], [4, 2], [4, 2], [4, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 5], [2, 5], [2, 5], [2, 5]]}, {"patt": [0, 3, 2, 1], "pos": [[4, 0], [4, 2], [4, 2], [4, 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{"patt": [1, 0, 3, 4, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 5], [0, 4]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 5], [0, 3], [0, 5], [0, 5], [0, 5]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 5], [0, 4], [0, 5], [0, 5], [0, 5]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 5], [0, 4], [0, 5], [0, 5], [2, 5]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 2], [4, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[4, 0], [4, 0], [4, 2], [4, 2], [4, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 4], [0, 4], [0, 5], [0, 4], [0, 4]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 3], [0, 5], [0, 5], [0, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 4], [0, 5], [0, 5], [0, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 4], [0, 5], [0, 5], [2, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[4, 0], [4, 0], [4, 2], [4, 2], [4, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[3, 3]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 2]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 0]]}], "indices": [0, 0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25212/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[18,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[18,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]+F[172,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[18,x]*F[44,x]
F[13,x] = F[14,x]+F[21,x]
F[14,x] = F[15,x]+F[4,x]
F[15,x] = F[16,x]+F[19,x]
F[16,x] = F[17,x]
F[17,x] = F[13,x]*F[18,x]
F[18,x] = x
F[19,x] = F[20,x]
F[20,x] = F[11,x]*F[18,x]
F[21,x] = F[22,x]
F[22,x] = F[18,x]*F[23,x]
F[23,x] = F[157,x]+F[24,x]
F[24,x] = F[25,x]+F[4,x]
F[25,x] = -F[28,x]+F[26,x]
F[26,x] = 1/F[18,x]*F[27,x]
F[27,x] = F[6,x]
F[28,x] = F[15,x]+F[29,x]
F[29,x] = F[30,x]+F[31,x]
F[30,x] = F[18,x]*F[5,x]
F[31,x] = F[32,x]
F[32,x] = F[18,x]*F[33,x]
F[33,x] = F[136,x]+F[34,x]
F[34,x] = F[132,x]+F[35,x]
F[35,x] = F[36,x]+F[39,x]
F[36,x] = F[37,x]*F[5,x]
F[37,x] = F[38,x]
F[38,x] = F[18,x]*F[24,x]
F[39,x] = F[40,x]
F[40,x] = F[18,x]*F[41,x]*F[43,x]
F[41,x] = F[42,x]
F[42,x] = F[18,x]*F[23,x]
F[43,x] = F[105,x]+F[44,x]
F[44,x] = F[0,x]+F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[18,x]*F[47,x]
F[47,x] = F[48,x]+F[57,x]
F[48,x] = F[44,x]+F[49,x]
F[49,x] = -F[57,x]+F[50,x]
F[50,x] = 1/F[18,x]*F[51,x]
F[51,x] = F[52,x]
F[52,x] = -F[2,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[18,x]*F[55,x]
F[55,x] = 1/F[18,x]*F[56,x]
F[56,x] = F[5,x]
F[57,x] = F[58,x]
F[58,x] = F[18,x]*F[59,x]
F[59,x] = F[103,x]+F[60,x]
F[60,x] = 1/F[18,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = -F[65,x]+F[63,x]
F[63,x] = 1/F[18,x]*F[64,x]
F[64,x] = F[52,x]
F[65,x] = -F[68,x]+F[66,x]
F[66,x] = 1/F[18,x]*F[67,x]
F[67,x] = F[53,x]
F[68,x] = F[69,x]+F[70,x]
F[69,x] = F[0,x]+F[53,x]
F[70,x] = F[71,x]
F[71,x] = F[18,x]*F[72,x]
F[72,x] = F[73,x]+F[89,x]
F[73,x] = F[74,x]+F[75,x]
F[74,x] = F[0,x]*F[68,x]
F[75,x] = F[76,x]
F[76,x] = F[18,x]*F[55,x]*F[77,x]
F[77,x] = F[68,x]+F[78,x]
F[78,x] = 1/F[0,x]*F[79,x]
F[79,x] = -F[73,x]+F[80,x]
F[80,x] = 1/F[18,x]*F[81,x]
F[81,x] = F[82,x]
F[82,x] = -F[85,x]+F[83,x]
F[83,x] = 1/F[18,x]*F[84,x]
F[84,x] = F[52,x]
F[85,x] = F[86,x]
F[86,x] = F[18,x]*F[87,x]
F[87,x] = 1/F[18,x]*F[88,x]
F[88,x] = F[62,x]
F[89,x] = F[90,x]+F[92,x]
F[90,x] = F[0,x]*F[91,x]
F[91,x] = F[61,x]
F[92,x] = F[93,x]
F[93,x] = F[101,x]*F[18,x]*F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[18,x]*F[96,x]
F[96,x] = F[0,x]+F[97,x]
F[97,x] = F[98,x]
F[98,x] = F[18,x]*F[44,x]*F[99,x]
F[99,x] = F[0,x]+F[100,x]
F[100,x] = F[3,x]
F[101,x] = 1/F[18,x]*F[102,x]
F[102,x] = F[78,x]
F[103,x] = F[104,x]
F[104,x] = F[101,x]*F[18,x]
F[105,x] = -F[108,x]+F[106,x]
F[106,x] = 1/F[18,x]*F[107,x]
F[107,x] = F[6,x]
F[108,x] = F[109,x]+F[117,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[18,x]
F[111,x] = F[112,x]+F[47,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[18,x]
F[114,x] = F[115,x]+F[48,x]
F[115,x] = F[116,x]
F[116,x] = F[101,x]*F[18,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[18,x]
F[119,x] = F[120,x]
F[120,x] = F[121,x]*F[122,x]*F[129,x]*F[18,x]
F[121,x] = F[1,x]+F[18,x]
F[122,x] = F[1,x]+F[123,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[18,x]
F[125,x] = F[121,x]+F[126,x]
F[126,x] = F[123,x]+F[127,x]
F[127,x] = F[128,x]
F[128,x] = F[123,x]*F[18,x]
F[129,x] = F[130,x]+F[47,x]
F[130,x] = F[131,x]
F[131,x] = F[114,x]*F[18,x]
F[132,x] = F[133,x]
F[133,x] = F[134,x]*F[18,x]*F[41,x]
F[134,x] = F[135,x]
F[135,x] = F[122,x]*F[129,x]*F[18,x]
F[136,x] = F[137,x]+F[153,x]
F[137,x] = F[138,x]+F[142,x]
F[138,x] = F[139,x]*F[5,x]
F[139,x] = F[140,x]
F[140,x] = F[141,x]*F[18,x]
F[141,x] = F[11,x]+F[4,x]
F[142,x] = F[143,x]
F[143,x] = F[144,x]*F[18,x]
F[144,x] = F[145,x]+F[149,x]
F[145,x] = F[146,x]+F[147,x]
F[146,x] = F[12,x]
F[147,x] = F[148,x]
F[148,x] = F[11,x]*F[18,x]*F[44,x]
F[149,x] = F[150,x]
F[150,x] = F[105,x]*F[151,x]*F[18,x]
F[151,x] = F[152,x]+F[21,x]
F[152,x] = F[141,x]+F[15,x]
F[153,x] = F[154,x]
F[154,x] = F[155,x]*F[18,x]
F[155,x] = F[156,x]
F[156,x] = F[134,x]*F[151,x]*F[18,x]
F[157,x] = F[15,x]+F[158,x]
F[158,x] = F[159,x]
F[159,x] = F[160,x]*F[18,x]
F[160,x] = F[11,x]+F[161,x]
F[161,x] = F[162,x]
F[162,x] = F[163,x]*F[18,x]*F[44,x]
F[163,x] = F[11,x]+F[164,x]
F[164,x] = 1/F[101,x]*F[165,x]
F[165,x] = F[166,x]
F[166,x] = -F[186,x]+F[167,x]
F[167,x] = 1/F[18,x]*F[168,x]
F[168,x] = F[169,x]
F[169,x] = -F[185,x]+F[170,x]
F[170,x] = 1/F[18,x]*F[171,x]
F[171,x] = F[172,x]
F[172,x] = F[173,x]+F[176,x]
F[173,x] = F[174,x]
F[174,x] = F[175,x]*F[18,x]*F[50,x]
F[175,x] = F[0,x]+F[16,x]
F[176,x] = F[177,x]
F[177,x] = F[178,x]*F[18,x]
F[178,x] = F[179,x]+F[182,x]
F[179,x] = F[180,x]*F[50,x]
F[180,x] = F[181,x]+F[19,x]
F[181,x] = F[2,x]+F[6,x]
F[182,x] = F[183,x]
F[183,x] = F[184,x]*F[21,x]
F[184,x] = F[115,x]+F[49,x]
F[185,x] = F[11,x]*F[69,x]
F[186,x] = F[187,x]+F[188,x]
F[187,x] = F[152,x]*F[60,x]
F[188,x] = F[189,x]
F[189,x] = F[101,x]*F[21,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{18}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{172}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{18}\! \left(x \right) F_{44}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{21}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{19}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{13}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = x
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{11}\! \left(x \right) F_{18}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{18}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{157}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = \frac{F_{27}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{27}\! \left(x \right) = F_{6}\! \left(x \right)
F_{28}\! \left(x \right) = F_{15}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{31}\! \left(x \right)
F_{30}\! \left(x \right) = F_{18}\! \left(x \right) F_{5}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{18}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{136}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{132}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{39}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right) F_{5}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{18}\! \left(x \right) F_{24}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{18}\! \left(x \right) F_{41}\! \left(x \right) F_{43}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{18}\! \left(x \right) F_{23}\! \left(x \right)
F_{43}\! \left(x \right) = F_{105}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{0}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{18}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{57}\! \left(x \right)
F_{48}\! \left(x \right) = F_{44}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{57}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{18}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = \frac{F_{56}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{56}\! \left(x \right) = F_{5}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{18}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{103}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = \frac{F_{64}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{64}\! \left(x \right) = F_{52}\! \left(x \right)
F_{65}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = \frac{F_{67}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{67}\! \left(x \right) = F_{53}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{70}\! \left(x \right)
F_{69}\! \left(x \right) = F_{0}\! \left(x \right)+F_{53}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{18}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{89}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{75}\! \left(x \right)
F_{74}\! \left(x \right) = F_{0}\! \left(x \right) F_{68}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{18}\! \left(x \right) F_{55}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{68}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = \frac{F_{79}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{79}\! \left(x \right) = -F_{73}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = \frac{F_{81}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = -F_{85}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{84}\! \left(x \right) = F_{52}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{18}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = \frac{F_{88}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{88}\! \left(x \right) = F_{62}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{92}\! \left(x \right)
F_{90}\! \left(x \right) = F_{0}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{61}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{101}\! \left(x \right) F_{18}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{18}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{0}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{18}\! \left(x \right) F_{44}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{0}\! \left(x \right)+F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{3}\! \left(x \right)
F_{101}\! \left(x \right) = \frac{F_{102}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{102}\! \left(x \right) = F_{78}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{101}\! \left(x \right) F_{18}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = \frac{F_{107}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{107}\! \left(x \right) = F_{6}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{117}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{18}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{47}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{18}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{48}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{101}\! \left(x \right) F_{18}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{18}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{122}\! \left(x \right) F_{129}\! \left(x \right) F_{18}\! \left(x \right)
F_{121}\! \left(x \right) = F_{1}\! \left(x \right)+F_{18}\! \left(x \right)
F_{122}\! \left(x \right) = F_{1}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{18}\! \left(x \right)
F_{125}\! \left(x \right) = F_{121}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{123}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{123}\! \left(x \right) F_{18}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{47}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{114}\! \left(x \right) F_{18}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{18}\! \left(x \right) F_{41}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{122}\! \left(x \right) F_{129}\! \left(x \right) F_{18}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{153}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{142}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{5}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{18}\! \left(x \right)
F_{141}\! \left(x \right) = F_{11}\! \left(x \right)+F_{4}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{18}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{149}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{147}\! \left(x \right)
F_{146}\! \left(x \right) = F_{12}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{11}\! \left(x \right) F_{18}\! \left(x \right) F_{44}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{105}\! \left(x \right) F_{151}\! \left(x \right) F_{18}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{21}\! \left(x \right)
F_{152}\! \left(x \right) = F_{141}\! \left(x \right)+F_{15}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right) F_{18}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{134}\! \left(x \right) F_{151}\! \left(x \right) F_{18}\! \left(x \right)
F_{157}\! \left(x \right) = F_{15}\! \left(x \right)+F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{18}\! \left(x \right)
F_{160}\! \left(x \right) = F_{11}\! \left(x \right)+F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{18}\! \left(x \right) F_{44}\! \left(x \right)
F_{163}\! \left(x \right) = F_{11}\! \left(x \right)+F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = \frac{F_{165}\! \left(x \right)}{F_{101}\! \left(x \right)}
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = -F_{186}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = \frac{F_{168}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = -F_{185}\! \left(x \right)+F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = \frac{F_{171}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{176}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right) F_{18}\! \left(x \right) F_{50}\! \left(x \right)
F_{175}\! \left(x \right) = F_{0}\! \left(x \right)+F_{16}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right) F_{18}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{182}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right) F_{50}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{19}\! \left(x \right)
F_{181}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{21}\! \left(x \right)
F_{184}\! \left(x \right) = F_{115}\! \left(x \right)+F_{49}\! \left(x \right)
F_{185}\! \left(x \right) = F_{11}\! \left(x \right) F_{69}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{188}\! \left(x \right)
F_{187}\! \left(x \right) = F_{152}\! \left(x \right) F_{60}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{101}\! \left(x \right) F_{21}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_18(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_18(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_172(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_18(x)*F_44(x))
Eq(F_13(x), F_14(x) + F_21(x))
Eq(F_14(x), F_15(x) + F_4(x))
Eq(F_15(x), F_16(x) + F_19(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_13(x)*F_18(x))
Eq(F_18(x), x)
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_11(x)*F_18(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_18(x)*F_23(x))
Eq(F_23(x), F_157(x) + F_24(x))
Eq(F_24(x), F_25(x) + F_4(x))
Eq(F_25(x), F_26(x) - F_28(x))
Eq(F_26(x), F_27(x)/F_18(x))
Eq(F_27(x), F_6(x))
Eq(F_28(x), F_15(x) + F_29(x))
Eq(F_29(x), F_30(x) + F_31(x))
Eq(F_30(x), F_18(x)*F_5(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_18(x)*F_33(x))
Eq(F_33(x), F_136(x) + F_34(x))
Eq(F_34(x), F_132(x) + F_35(x))
Eq(F_35(x), F_36(x) + F_39(x))
Eq(F_36(x), F_37(x)*F_5(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_18(x)*F_24(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_18(x)*F_41(x)*F_43(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_18(x)*F_23(x))
Eq(F_43(x), F_105(x) + F_44(x))
Eq(F_44(x), F_0(x) + F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_18(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_57(x))
Eq(F_48(x), F_44(x) + F_49(x))
Eq(F_49(x), F_50(x) - F_57(x))
Eq(F_50(x), F_51(x)/F_18(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), -F_2(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_18(x)*F_55(x))
Eq(F_55(x), F_56(x)/F_18(x))
Eq(F_56(x), F_5(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_18(x)*F_59(x))
Eq(F_59(x), F_103(x) + F_60(x))
Eq(F_60(x), F_61(x)/F_18(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_63(x) - F_65(x))
Eq(F_63(x), F_64(x)/F_18(x))
Eq(F_64(x), F_52(x))
Eq(F_65(x), F_66(x) - F_68(x))
Eq(F_66(x), F_67(x)/F_18(x))
Eq(F_67(x), F_53(x))
Eq(F_68(x), F_69(x) + F_70(x))
Eq(F_69(x), F_0(x) + F_53(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_18(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_89(x))
Eq(F_73(x), F_74(x) + F_75(x))
Eq(F_74(x), F_0(x)*F_68(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_18(x)*F_55(x)*F_77(x))
Eq(F_77(x), F_68(x) + F_78(x))
Eq(F_78(x), F_79(x)/F_0(x))
Eq(F_79(x), -F_73(x) + F_80(x))
Eq(F_80(x), F_81(x)/F_18(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_83(x) - F_85(x))
Eq(F_83(x), F_84(x)/F_18(x))
Eq(F_84(x), F_52(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_18(x)*F_87(x))
Eq(F_87(x), F_88(x)/F_18(x))
Eq(F_88(x), F_62(x))
Eq(F_89(x), F_90(x) + F_92(x))
Eq(F_90(x), F_0(x)*F_91(x))
Eq(F_91(x), F_61(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_101(x)*F_18(x)*F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_18(x)*F_96(x))
Eq(F_96(x), F_0(x) + F_97(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_18(x)*F_44(x)*F_99(x))
Eq(F_99(x), F_0(x) + F_100(x))
Eq(F_100(x), F_3(x))
Eq(F_101(x), F_102(x)/F_18(x))
Eq(F_102(x), F_78(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_101(x)*F_18(x))
Eq(F_105(x), F_106(x) - F_108(x))
Eq(F_106(x), F_107(x)/F_18(x))
Eq(F_107(x), F_6(x))
Eq(F_108(x), F_109(x) + F_117(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x)*F_18(x))
Eq(F_111(x), F_112(x) + F_47(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_18(x))
Eq(F_114(x), F_115(x) + F_48(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_101(x)*F_18(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_18(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x)*F_122(x)*F_129(x)*F_18(x))
Eq(F_121(x), F_1(x) + F_18(x))
Eq(F_122(x), F_1(x) + F_123(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)*F_18(x))
Eq(F_125(x), F_121(x) + F_126(x))
Eq(F_126(x), F_123(x) + F_127(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_123(x)*F_18(x))
Eq(F_129(x), F_130(x) + F_47(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_114(x)*F_18(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x)*F_18(x)*F_41(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_122(x)*F_129(x)*F_18(x))
Eq(F_136(x), F_137(x) + F_153(x))
Eq(F_137(x), F_138(x) + F_142(x))
Eq(F_138(x), F_139(x)*F_5(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x)*F_18(x))
Eq(F_141(x), F_11(x) + F_4(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_144(x)*F_18(x))
Eq(F_144(x), F_145(x) + F_149(x))
Eq(F_145(x), F_146(x) + F_147(x))
Eq(F_146(x), F_12(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_11(x)*F_18(x)*F_44(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_105(x)*F_151(x)*F_18(x))
Eq(F_151(x), F_152(x) + F_21(x))
Eq(F_152(x), F_141(x) + F_15(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_155(x)*F_18(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_134(x)*F_151(x)*F_18(x))
Eq(F_157(x), F_15(x) + F_158(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_160(x)*F_18(x))
Eq(F_160(x), F_11(x) + F_161(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x)*F_18(x)*F_44(x))
Eq(F_163(x), F_11(x) + F_164(x))
Eq(F_164(x), F_165(x)/F_101(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_167(x) - F_186(x))
Eq(F_167(x), F_168(x)/F_18(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_170(x) - F_185(x))
Eq(F_170(x), F_171(x)/F_18(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_173(x) + F_176(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), F_175(x)*F_18(x)*F_50(x))
Eq(F_175(x), F_0(x) + F_16(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_178(x)*F_18(x))
Eq(F_178(x), F_179(x) + F_182(x))
Eq(F_179(x), F_180(x)*F_50(x))
Eq(F_180(x), F_181(x) + F_19(x))
Eq(F_181(x), F_2(x) + F_6(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x)*F_21(x))
Eq(F_184(x), F_115(x) + F_49(x))
Eq(F_185(x), F_11(x)*F_69(x))
Eq(F_186(x), F_187(x) + F_188(x))
Eq(F_187(x), F_152(x)*F_60(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_101(x)*F_21(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[2, 0], 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"RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 2]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 0]]}], "indices": [0, 0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25489/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[26,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[26,x]*F[8,x]
F[8,x] = F[74,x]+F[9,x]
F[9,x] = F[10,x]*F[2,x]
F[10,x] = F[0,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[26,x]
F[13,x] = F[14,x]+F[27,x]
F[14,x] = F[10,x]+F[15,x]
F[15,x] = -F[27,x]+F[16,x]
F[16,x] = 1/F[26,x]*F[17,x]
F[17,x] = F[18,x]
F[18,x] = -F[2,x]+F[19,x]
F[19,x] = -F[0,x]+F[20,x]
F[20,x] = F[0,x]+F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[23,x]*F[26,x]
F[23,x] = 1/F[26,x]*F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[2,x]+F[6,x]
F[26,x] = x
F[27,x] = F[28,x]
F[28,x] = F[26,x]*F[29,x]
F[29,x] = F[30,x]+F[72,x]
F[30,x] = 1/F[26,x]*F[31,x]
F[31,x] = F[32,x]
F[32,x] = -F[35,x]+F[33,x]
F[33,x] = 1/F[26,x]*F[34,x]
F[34,x] = F[18,x]
F[35,x] = -F[38,x]+F[36,x]
F[36,x] = 1/F[26,x]*F[37,x]
F[37,x] = F[21,x]
F[38,x] = F[20,x]+F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[26,x]*F[41,x]
F[41,x] = F[42,x]+F[58,x]
F[42,x] = F[43,x]+F[44,x]
F[43,x] = F[0,x]*F[38,x]
F[44,x] = F[45,x]
F[45,x] = F[23,x]*F[26,x]*F[46,x]
F[46,x] = F[38,x]+F[47,x]
F[47,x] = 1/F[0,x]*F[48,x]
F[48,x] = -F[42,x]+F[49,x]
F[49,x] = 1/F[26,x]*F[50,x]
F[50,x] = F[51,x]
F[51,x] = -F[54,x]+F[52,x]
F[52,x] = 1/F[26,x]*F[53,x]
F[53,x] = F[18,x]
F[54,x] = F[55,x]
F[55,x] = F[26,x]*F[56,x]
F[56,x] = 1/F[26,x]*F[57,x]
F[57,x] = F[32,x]
F[58,x] = F[59,x]+F[61,x]
F[59,x] = F[0,x]*F[60,x]
F[60,x] = F[31,x]
F[61,x] = F[62,x]
F[62,x] = F[26,x]*F[63,x]*F[70,x]
F[63,x] = F[64,x]
F[64,x] = F[26,x]*F[65,x]
F[65,x] = F[0,x]+F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[10,x]*F[26,x]*F[68,x]
F[68,x] = F[0,x]+F[69,x]
F[69,x] = F[3,x]
F[70,x] = 1/F[26,x]*F[71,x]
F[71,x] = F[47,x]
F[72,x] = F[73,x]
F[73,x] = F[26,x]*F[70,x]
F[74,x] = F[75,x]
F[75,x] = F[26,x]*F[76,x]
F[76,x] = F[228,x]+F[77,x]
F[77,x] = F[13,x]*F[78,x]
F[78,x] = F[4,x]+F[79,x]
F[79,x] = F[80,x]
F[80,x] = F[26,x]*F[81,x]
F[81,x] = F[82,x]+F[86,x]
F[82,x] = F[78,x]+F[83,x]
F[83,x] = F[84,x]
F[84,x] = F[10,x]*F[26,x]*F[85,x]
F[85,x] = F[78,x]+F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[26,x]*F[88,x]
F[88,x] = F[182,x]+F[89,x]
F[89,x] = F[4,x]+F[90,x]
F[90,x] = -F[93,x]+F[91,x]
F[91,x] = 1/F[26,x]*F[92,x]
F[92,x] = F[6,x]
F[93,x] = F[79,x]+F[94,x]
F[94,x] = F[95,x]+F[96,x]
F[95,x] = F[26,x]*F[5,x]
F[96,x] = F[97,x]
F[97,x] = F[26,x]*F[98,x]
F[98,x] = F[147,x]+F[99,x]
F[99,x] = F[100,x]+F[130,x]
F[100,x] = F[101,x]+F[105,x]
F[101,x] = F[102,x]*F[5,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[26,x]
F[104,x] = F[4,x]+F[83,x]
F[105,x] = F[106,x]
F[106,x] = F[107,x]*F[26,x]
F[107,x] = F[108,x]+F[112,x]
F[108,x] = F[109,x]+F[110,x]
F[109,x] = F[84,x]
F[110,x] = F[111,x]
F[111,x] = F[10,x]*F[26,x]*F[83,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[26,x]*F[81,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]*F[124,x]*F[26,x]
F[116,x] = F[1,x]+F[117,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[26,x]
F[119,x] = F[120,x]+F[121,x]
F[120,x] = F[1,x]+F[26,x]
F[121,x] = F[117,x]+F[122,x]
F[122,x] = F[123,x]
F[123,x] = F[117,x]*F[26,x]
F[124,x] = F[125,x]+F[13,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[26,x]
F[127,x] = F[128,x]+F[14,x]
F[128,x] = F[129,x]
F[129,x] = F[26,x]*F[70,x]
F[130,x] = F[131,x]
F[131,x] = F[132,x]*F[26,x]
F[132,x] = F[133,x]
F[133,x] = F[134,x]*F[26,x]*F[81,x]
F[134,x] = -F[137,x]+F[135,x]
F[135,x] = 1/F[26,x]*F[136,x]
F[136,x] = F[6,x]
F[137,x] = F[138,x]+F[143,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]*F[26,x]
F[140,x] = F[13,x]+F[141,x]
F[141,x] = F[142,x]
F[142,x] = F[127,x]*F[26,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]*F[26,x]
F[145,x] = F[146,x]
F[146,x] = F[116,x]*F[120,x]*F[124,x]*F[26,x]
F[147,x] = F[148,x]+F[180,x]
F[148,x] = F[149,x]+F[152,x]
F[149,x] = F[150,x]*F[5,x]
F[150,x] = F[151,x]
F[151,x] = F[26,x]*F[89,x]
F[152,x] = F[153,x]+F[158,x]
F[153,x] = F[116,x]*F[154,x]
F[154,x] = F[155,x]
F[155,x] = F[156,x]*F[26,x]
F[156,x] = F[157,x]
F[157,x] = F[26,x]*F[88,x]
F[158,x] = F[159,x]
F[159,x] = F[156,x]*F[160,x]*F[26,x]
F[160,x] = F[161,x]+F[165,x]
F[161,x] = F[162,x]+F[2,x]
F[162,x] = F[163,x]
F[163,x] = F[116,x]*F[120,x]*F[164,x]*F[26,x]
F[164,x] = F[19,x]+F[2,x]
F[165,x] = F[11,x]+F[166,x]
F[166,x] = F[167,x]
F[167,x] = F[168,x]*F[26,x]
F[168,x] = F[169,x]+F[171,x]
F[169,x] = F[170,x]
F[170,x] = F[116,x]*F[26,x]*F[29,x]
F[171,x] = F[172,x]
F[172,x] = F[116,x]*F[173,x]*F[26,x]
F[173,x] = F[174,x]+F[179,x]
F[174,x] = F[128,x]+F[175,x]
F[175,x] = F[13,x]+F[176,x]
F[176,x] = 1/F[26,x]*F[177,x]
F[177,x] = F[178,x]
F[178,x] = -F[21,x]+F[15,x]
F[179,x] = F[175,x]*F[26,x]
F[180,x] = F[181,x]
F[181,x] = F[134,x]*F[156,x]*F[26,x]
F[182,x] = F[183,x]+F[79,x]
F[183,x] = F[184,x]
F[184,x] = F[185,x]*F[26,x]
F[185,x] = F[186,x]+F[83,x]
F[186,x] = F[187,x]
F[187,x] = F[10,x]*F[188,x]*F[26,x]
F[188,x] = F[189,x]+F[83,x]
F[189,x] = 1/F[70,x]*F[190,x]
F[190,x] = F[191,x]
F[191,x] = -F[224,x]+F[192,x]
F[192,x] = 1/F[26,x]*F[193,x]
F[193,x] = F[194,x]
F[194,x] = -F[223,x]+F[195,x]
F[195,x] = F[196,x]+F[215,x]
F[196,x] = -F[214,x]+F[197,x]
F[197,x] = 1/F[26,x]*F[198,x]
F[198,x] = F[199,x]
F[199,x] = -F[213,x]+F[200,x]
F[200,x] = -F[203,x]+F[201,x]
F[201,x] = 1/F[26,x]*F[202,x]
F[202,x] = F[6,x]
F[203,x] = F[204,x]+F[206,x]
F[204,x] = F[205,x]
F[205,x] = F[20,x]*F[26,x]*F[85,x]
F[206,x] = F[207,x]
F[207,x] = F[208,x]*F[26,x]
F[208,x] = F[209,x]
F[209,x] = F[210,x]*F[26,x]
F[210,x] = F[211,x]+F[212,x]
F[211,x] = F[174,x]*F[78,x]
F[212,x] = F[175,x]*F[86,x]
F[213,x] = F[0,x]*F[2,x]
F[214,x] = F[19,x]*F[4,x]
F[215,x] = F[216,x]
F[216,x] = F[217,x]*F[26,x]
F[217,x] = F[218,x]+F[221,x]
F[218,x] = F[219,x]*F[85,x]
F[219,x] = 1/F[26,x]*F[220,x]
F[220,x] = F[15,x]
F[221,x] = F[222,x]
F[222,x] = F[26,x]*F[70,x]*F[78,x]
F[223,x] = F[20,x]*F[83,x]
F[224,x] = F[225,x]+F[226,x]
F[225,x] = F[30,x]*F[82,x]
F[226,x] = F[227,x]
F[227,x] = F[70,x]*F[86,x]
F[228,x] = F[229,x]
F[229,x] = F[127,x]*F[86,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{26}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{74}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{2}\! \left(x \right)
F_{10}\! \left(x \right) = F_{0}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{26}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{27}\! \left(x \right)
F_{14}\! \left(x \right) = F_{10}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = -F_{27}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{0}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{26}\! \left(x \right)
F_{23}\! \left(x \right) = \frac{F_{24}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{26}\! \left(x \right) = x
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{26}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{72}\! \left(x \right)
F_{30}\! \left(x \right) = \frac{F_{31}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{35}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{18}\! \left(x \right)
F_{35}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = \frac{F_{37}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{37}\! \left(x \right) = F_{21}\! \left(x \right)
F_{38}\! \left(x \right) = F_{20}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{26}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{58}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{44}\! \left(x \right)
F_{43}\! \left(x \right) = F_{0}\! \left(x \right) F_{38}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{23}\! \left(x \right) F_{26}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{38}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{48}\! \left(x \right) = -F_{42}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = \frac{F_{50}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = -F_{54}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = \frac{F_{53}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{53}\! \left(x \right) = F_{18}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{26}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{32}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{61}\! \left(x \right)
F_{59}\! \left(x \right) = F_{0}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{31}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{26}\! \left(x \right) F_{63}\! \left(x \right) F_{70}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{26}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{0}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{10}\! \left(x \right) F_{26}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{0}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{3}\! \left(x \right)
F_{70}\! \left(x \right) = \frac{F_{71}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{71}\! \left(x \right) = F_{47}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{26}\! \left(x \right) F_{70}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{26}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{228}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{13}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{26}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{86}\! \left(x \right)
F_{82}\! \left(x \right) = F_{78}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{10}\! \left(x \right) F_{26}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{78}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{26}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{182}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{4}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = -F_{93}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = \frac{F_{92}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{92}\! \left(x \right) = F_{6}\! \left(x \right)
F_{93}\! \left(x \right) = F_{79}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)+F_{96}\! \left(x \right)
F_{95}\! \left(x \right) = F_{26}\! \left(x \right) F_{5}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{26}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{147}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{130}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{105}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{5}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{26}\! \left(x \right)
F_{104}\! \left(x \right) = F_{4}\! \left(x \right)+F_{83}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{26}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{112}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{110}\! \left(x \right)
F_{109}\! \left(x \right) = F_{84}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{10}\! \left(x \right) F_{26}\! \left(x \right) F_{83}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{26}\! \left(x \right) F_{81}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{124}\! \left(x \right) F_{26}\! \left(x \right)
F_{116}\! \left(x \right) = F_{1}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{26}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{121}\! \left(x \right)
F_{120}\! \left(x \right) = F_{1}\! \left(x \right)+F_{26}\! \left(x \right)
F_{121}\! \left(x \right) = F_{117}\! \left(x \right)+F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{117}\! \left(x \right) F_{26}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{13}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{26}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{14}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{26}\! \left(x \right) F_{70}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{26}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{26}\! \left(x \right) F_{81}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{6}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{143}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{26}\! \left(x \right)
F_{140}\! \left(x \right) = F_{13}\! \left(x \right)+F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{127}\! \left(x \right) F_{26}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{26}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{116}\! \left(x \right) F_{120}\! \left(x \right) F_{124}\! \left(x \right) F_{26}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{180}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{152}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right) F_{5}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{26}\! \left(x \right) F_{89}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{158}\! \left(x \right)
F_{153}\! \left(x \right) = F_{116}\! \left(x \right) F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{26}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{26}\! \left(x \right) F_{88}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{156}\! \left(x \right) F_{160}\! \left(x \right) F_{26}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{165}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{2}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{116}\! \left(x \right) F_{120}\! \left(x \right) F_{164}\! \left(x \right) F_{26}\! \left(x \right)
F_{164}\! \left(x \right) = F_{19}\! \left(x \right)+F_{2}\! \left(x \right)
F_{165}\! \left(x \right) = F_{11}\! \left(x \right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right) F_{26}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{171}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{116}\! \left(x \right) F_{26}\! \left(x \right) F_{29}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{116}\! \left(x \right) F_{173}\! \left(x \right) F_{26}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{179}\! \left(x \right)
F_{174}\! \left(x \right) = F_{128}\! \left(x \right)+F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{13}\! \left(x \right)+F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = \frac{F_{177}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = -F_{21}\! \left(x \right)+F_{15}\! \left(x \right)
F_{179}\! \left(x \right) = F_{175}\! \left(x \right) F_{26}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{134}\! \left(x \right) F_{156}\! \left(x \right) F_{26}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)+F_{79}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{26}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{83}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{10}\! \left(x \right) F_{188}\! \left(x \right) F_{26}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)+F_{83}\! \left(x \right)
F_{189}\! \left(x \right) = \frac{F_{190}\! \left(x \right)}{F_{70}\! \left(x \right)}
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = -F_{224}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = \frac{F_{193}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = -F_{223}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)+F_{215}\! \left(x \right)
F_{196}\! \left(x \right) = -F_{214}\! \left(x \right)+F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = \frac{F_{198}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = -F_{213}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = -F_{203}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = \frac{F_{202}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{202}\! \left(x \right) = F_{6}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{206}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{20}\! \left(x \right) F_{26}\! \left(x \right) F_{85}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right) F_{26}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right) F_{26}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{212}\! \left(x \right)
F_{211}\! \left(x \right) = F_{174}\! \left(x \right) F_{78}\! \left(x \right)
F_{212}\! \left(x \right) = F_{175}\! \left(x \right) F_{86}\! \left(x \right)
F_{213}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{214}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right) F_{26}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{221}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right) F_{85}\! \left(x \right)
F_{219}\! \left(x \right) = \frac{F_{220}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{220}\! \left(x \right) = F_{15}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{26}\! \left(x \right) F_{70}\! \left(x \right) F_{78}\! \left(x \right)
F_{223}\! \left(x \right) = F_{20}\! \left(x \right) F_{83}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{226}\! \left(x \right)
F_{225}\! \left(x \right) = F_{30}\! \left(x \right) F_{82}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{70}\! \left(x \right) F_{86}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{127}\! \left(x \right) F_{86}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_26(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_26(x)*F_8(x))
Eq(F_8(x), F_74(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_2(x))
Eq(F_10(x), F_0(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_26(x))
Eq(F_13(x), F_14(x) + F_27(x))
Eq(F_14(x), F_10(x) + F_15(x))
Eq(F_15(x), F_16(x) - F_27(x))
Eq(F_16(x), F_17(x)/F_26(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x) - F_2(x))
Eq(F_19(x), -F_0(x) + F_20(x))
Eq(F_20(x), F_0(x) + F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_23(x)*F_26(x))
Eq(F_23(x), F_24(x)/F_26(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_2(x) + F_6(x))
Eq(F_26(x), x)
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_26(x)*F_29(x))
Eq(F_29(x), F_30(x) + F_72(x))
Eq(F_30(x), F_31(x)/F_26(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x) - F_35(x))
Eq(F_33(x), F_34(x)/F_26(x))
Eq(F_34(x), F_18(x))
Eq(F_35(x), F_36(x) - F_38(x))
Eq(F_36(x), F_37(x)/F_26(x))
Eq(F_37(x), F_21(x))
Eq(F_38(x), F_20(x) + F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_26(x)*F_41(x))
Eq(F_41(x), F_42(x) + F_58(x))
Eq(F_42(x), F_43(x) + F_44(x))
Eq(F_43(x), F_0(x)*F_38(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_23(x)*F_26(x)*F_46(x))
Eq(F_46(x), F_38(x) + F_47(x))
Eq(F_47(x), F_48(x)/F_0(x))
Eq(F_48(x), -F_42(x) + F_49(x))
Eq(F_49(x), F_50(x)/F_26(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_52(x) - F_54(x))
Eq(F_52(x), F_53(x)/F_26(x))
Eq(F_53(x), F_18(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_26(x)*F_56(x))
Eq(F_56(x), F_57(x)/F_26(x))
Eq(F_57(x), F_32(x))
Eq(F_58(x), F_59(x) + F_61(x))
Eq(F_59(x), F_0(x)*F_60(x))
Eq(F_60(x), F_31(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_26(x)*F_63(x)*F_70(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_26(x)*F_65(x))
Eq(F_65(x), F_0(x) + F_66(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_10(x)*F_26(x)*F_68(x))
Eq(F_68(x), F_0(x) + F_69(x))
Eq(F_69(x), F_3(x))
Eq(F_70(x), F_71(x)/F_26(x))
Eq(F_71(x), F_47(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_26(x)*F_70(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_26(x)*F_76(x))
Eq(F_76(x), F_228(x) + F_77(x))
Eq(F_77(x), F_13(x)*F_78(x))
Eq(F_78(x), F_4(x) + F_79(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_26(x)*F_81(x))
Eq(F_81(x), F_82(x) + F_86(x))
Eq(F_82(x), F_78(x) + F_83(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_10(x)*F_26(x)*F_85(x))
Eq(F_85(x), F_78(x) + F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_26(x)*F_88(x))
Eq(F_88(x), F_182(x) + F_89(x))
Eq(F_89(x), F_4(x) + F_90(x))
Eq(F_90(x), F_91(x) - F_93(x))
Eq(F_91(x), F_92(x)/F_26(x))
Eq(F_92(x), F_6(x))
Eq(F_93(x), F_79(x) + F_94(x))
Eq(F_94(x), F_95(x) + F_96(x))
Eq(F_95(x), F_26(x)*F_5(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_26(x)*F_98(x))
Eq(F_98(x), F_147(x) + F_99(x))
Eq(F_99(x), F_100(x) + F_130(x))
Eq(F_100(x), F_101(x) + F_105(x))
Eq(F_101(x), F_102(x)*F_5(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_26(x))
Eq(F_104(x), F_4(x) + F_83(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x)*F_26(x))
Eq(F_107(x), F_108(x) + F_112(x))
Eq(F_108(x), F_109(x) + F_110(x))
Eq(F_109(x), F_84(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_10(x)*F_26(x)*F_83(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_26(x)*F_81(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)*F_124(x)*F_26(x))
Eq(F_116(x), F_1(x) + F_117(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_26(x))
Eq(F_119(x), F_120(x) + F_121(x))
Eq(F_120(x), F_1(x) + F_26(x))
Eq(F_121(x), F_117(x) + F_122(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_117(x)*F_26(x))
Eq(F_124(x), F_125(x) + F_13(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_26(x))
Eq(F_127(x), F_128(x) + F_14(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_26(x)*F_70(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x)*F_26(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x)*F_26(x)*F_81(x))
Eq(F_134(x), F_135(x) - F_137(x))
Eq(F_135(x), F_136(x)/F_26(x))
Eq(F_136(x), F_6(x))
Eq(F_137(x), F_138(x) + F_143(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x)*F_26(x))
Eq(F_140(x), F_13(x) + F_141(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_127(x)*F_26(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x)*F_26(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_116(x)*F_120(x)*F_124(x)*F_26(x))
Eq(F_147(x), F_148(x) + F_180(x))
Eq(F_148(x), F_149(x) + F_152(x))
Eq(F_149(x), F_150(x)*F_5(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_26(x)*F_89(x))
Eq(F_152(x), F_153(x) + F_158(x))
Eq(F_153(x), F_116(x)*F_154(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_156(x)*F_26(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_26(x)*F_88(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_156(x)*F_160(x)*F_26(x))
Eq(F_160(x), F_161(x) + F_165(x))
Eq(F_161(x), F_162(x) + F_2(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_116(x)*F_120(x)*F_164(x)*F_26(x))
Eq(F_164(x), F_19(x) + F_2(x))
Eq(F_165(x), F_11(x) + F_166(x))
Eq(F_166(x), F_167(x))
Eq(F_167(x), F_168(x)*F_26(x))
Eq(F_168(x), F_169(x) + F_171(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_116(x)*F_26(x)*F_29(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_116(x)*F_173(x)*F_26(x))
Eq(F_173(x), F_174(x) + F_179(x))
Eq(F_174(x), F_128(x) + F_175(x))
Eq(F_175(x), F_13(x) + F_176(x))
Eq(F_176(x), F_177(x)/F_26(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_15(x) - F_21(x))
Eq(F_179(x), F_175(x)*F_26(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_134(x)*F_156(x)*F_26(x))
Eq(F_182(x), F_183(x) + F_79(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_185(x)*F_26(x))
Eq(F_185(x), F_186(x) + F_83(x))
Eq(F_186(x), F_187(x))
Eq(F_187(x), F_10(x)*F_188(x)*F_26(x))
Eq(F_188(x), F_189(x) + F_83(x))
Eq(F_189(x), F_190(x)/F_70(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_192(x) - F_224(x))
Eq(F_192(x), F_193(x)/F_26(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x) - F_223(x))
Eq(F_195(x), F_196(x) + F_215(x))
Eq(F_196(x), F_197(x) - F_214(x))
Eq(F_197(x), F_198(x)/F_26(x))
Eq(F_198(x), F_199(x))
Eq(F_199(x), F_200(x) - F_213(x))
Eq(F_200(x), F_201(x) - F_203(x))
Eq(F_201(x), F_202(x)/F_26(x))
Eq(F_202(x), F_6(x))
Eq(F_203(x), F_204(x) + F_206(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_20(x)*F_26(x)*F_85(x))
Eq(F_206(x), F_207(x))
Eq(F_207(x), F_208(x)*F_26(x))
Eq(F_208(x), F_209(x))
Eq(F_209(x), F_210(x)*F_26(x))
Eq(F_210(x), F_211(x) + F_212(x))
Eq(F_211(x), F_174(x)*F_78(x))
Eq(F_212(x), F_175(x)*F_86(x))
Eq(F_213(x), F_0(x)*F_2(x))
Eq(F_214(x), F_19(x)*F_4(x))
Eq(F_215(x), F_216(x))
Eq(F_216(x), F_217(x)*F_26(x))
Eq(F_217(x), F_218(x) + F_221(x))
Eq(F_218(x), F_219(x)*F_85(x))
Eq(F_219(x), F_220(x)/F_26(x))
Eq(F_220(x), F_15(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_26(x)*F_70(x)*F_78(x))
Eq(F_223(x), F_20(x)*F_83(x))
Eq(F_224(x), F_225(x) + F_226(x))
Eq(F_225(x), F_30(x)*F_82(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_70(x)*F_86(x))
Eq(F_228(x), F_229(x))
Eq(F_229(x), F_127(x)*F_86(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], 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{"patt": [0, 1, 4, 3, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[4, 0], [4, 0], [4, 2], [4, 2], [4, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 5], [0, 4]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 2], [4, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[4, 0], [4, 0], [4, 2], [4, 2], [4, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[4, 0], [4, 2], [4, 2], [4, 2], [4, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 4], [0, 4], [0, 5], [0, 4], [0, 4]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[4, 0], [4, 0], [4, 2], [4, 2], [4, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[4, 0], [4, 2], [4, 2], [4, 2], [4, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 5], [0, 4]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 4], [0, 5], [0, 4], [0, 5], [0, 4]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 2], [4, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[4, 0], [4, 2], [4, 0], [4, 2], [4, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[4, 0], [4, 2], [4, 2], [4, 2], [4, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 5], [0, 4]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 5], [0, 3], [0, 5], [0, 5], [0, 5]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 5], [0, 4], [0, 5], [0, 5], [0, 5]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 5], [0, 4], [0, 5], [0, 5], [2, 5]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 2], [4, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[4, 0], [4, 0], [4, 2], [4, 2], [4, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [3, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 4], [0, 4], [0, 5], [0, 4], [0, 4]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 3], [0, 5], [0, 5], [0, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 4], [0, 5], [0, 5], [0, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 4], [0, 5], [0, 5], [2, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[4, 0], [4, 0], [4, 2], [4, 2], [4, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[3, 3]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 2]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}], "indices": [0, 0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}]}
Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25689/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[26,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[26,x]*F[8,x]
F[8,x] = F[74,x]+F[9,x]
F[9,x] = F[10,x]*F[2,x]
F[10,x] = F[0,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[26,x]
F[13,x] = F[14,x]+F[27,x]
F[14,x] = F[10,x]+F[15,x]
F[15,x] = -F[27,x]+F[16,x]
F[16,x] = 1/F[26,x]*F[17,x]
F[17,x] = F[18,x]
F[18,x] = -F[2,x]+F[19,x]
F[19,x] = -F[0,x]+F[20,x]
F[20,x] = F[0,x]+F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[23,x]*F[26,x]
F[23,x] = 1/F[26,x]*F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[2,x]+F[6,x]
F[26,x] = x
F[27,x] = F[28,x]
F[28,x] = F[26,x]*F[29,x]
F[29,x] = F[30,x]+F[72,x]
F[30,x] = 1/F[26,x]*F[31,x]
F[31,x] = F[32,x]
F[32,x] = -F[35,x]+F[33,x]
F[33,x] = 1/F[26,x]*F[34,x]
F[34,x] = F[18,x]
F[35,x] = -F[38,x]+F[36,x]
F[36,x] = 1/F[26,x]*F[37,x]
F[37,x] = F[21,x]
F[38,x] = F[20,x]+F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[26,x]*F[41,x]
F[41,x] = F[42,x]+F[58,x]
F[42,x] = F[43,x]+F[44,x]
F[43,x] = F[0,x]*F[38,x]
F[44,x] = F[45,x]
F[45,x] = F[23,x]*F[26,x]*F[46,x]
F[46,x] = F[38,x]+F[47,x]
F[47,x] = 1/F[0,x]*F[48,x]
F[48,x] = -F[42,x]+F[49,x]
F[49,x] = 1/F[26,x]*F[50,x]
F[50,x] = F[51,x]
F[51,x] = -F[54,x]+F[52,x]
F[52,x] = 1/F[26,x]*F[53,x]
F[53,x] = F[18,x]
F[54,x] = F[55,x]
F[55,x] = F[26,x]*F[56,x]
F[56,x] = 1/F[26,x]*F[57,x]
F[57,x] = F[32,x]
F[58,x] = F[59,x]+F[61,x]
F[59,x] = F[0,x]*F[60,x]
F[60,x] = F[31,x]
F[61,x] = F[62,x]
F[62,x] = F[26,x]*F[63,x]*F[70,x]
F[63,x] = F[64,x]
F[64,x] = F[26,x]*F[65,x]
F[65,x] = F[0,x]+F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[10,x]*F[26,x]*F[68,x]
F[68,x] = F[0,x]+F[69,x]
F[69,x] = F[3,x]
F[70,x] = 1/F[26,x]*F[71,x]
F[71,x] = F[47,x]
F[72,x] = F[73,x]
F[73,x] = F[26,x]*F[70,x]
F[74,x] = F[75,x]
F[75,x] = F[26,x]*F[76,x]
F[76,x] = F[228,x]+F[77,x]
F[77,x] = F[13,x]*F[78,x]
F[78,x] = F[4,x]+F[79,x]
F[79,x] = F[80,x]
F[80,x] = F[26,x]*F[81,x]
F[81,x] = F[82,x]+F[86,x]
F[82,x] = F[78,x]+F[83,x]
F[83,x] = F[84,x]
F[84,x] = F[10,x]*F[26,x]*F[85,x]
F[85,x] = F[78,x]+F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[26,x]*F[88,x]
F[88,x] = F[182,x]+F[89,x]
F[89,x] = F[4,x]+F[90,x]
F[90,x] = -F[93,x]+F[91,x]
F[91,x] = 1/F[26,x]*F[92,x]
F[92,x] = F[6,x]
F[93,x] = F[79,x]+F[94,x]
F[94,x] = F[95,x]+F[96,x]
F[95,x] = F[26,x]*F[5,x]
F[96,x] = F[97,x]
F[97,x] = F[26,x]*F[98,x]
F[98,x] = F[147,x]+F[99,x]
F[99,x] = F[100,x]+F[130,x]
F[100,x] = F[101,x]+F[105,x]
F[101,x] = F[102,x]*F[5,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[26,x]
F[104,x] = F[4,x]+F[83,x]
F[105,x] = F[106,x]
F[106,x] = F[107,x]*F[26,x]
F[107,x] = F[108,x]+F[112,x]
F[108,x] = F[109,x]+F[110,x]
F[109,x] = F[84,x]
F[110,x] = F[111,x]
F[111,x] = F[10,x]*F[26,x]*F[83,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[26,x]*F[81,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]*F[124,x]*F[26,x]
F[116,x] = F[1,x]+F[117,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[26,x]
F[119,x] = F[120,x]+F[121,x]
F[120,x] = F[1,x]+F[26,x]
F[121,x] = F[117,x]+F[122,x]
F[122,x] = F[123,x]
F[123,x] = F[117,x]*F[26,x]
F[124,x] = F[125,x]+F[13,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[26,x]
F[127,x] = F[128,x]+F[14,x]
F[128,x] = F[129,x]
F[129,x] = F[26,x]*F[70,x]
F[130,x] = F[131,x]
F[131,x] = F[132,x]*F[26,x]
F[132,x] = F[133,x]
F[133,x] = F[134,x]*F[26,x]*F[81,x]
F[134,x] = -F[137,x]+F[135,x]
F[135,x] = 1/F[26,x]*F[136,x]
F[136,x] = F[6,x]
F[137,x] = F[138,x]+F[143,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]*F[26,x]
F[140,x] = F[13,x]+F[141,x]
F[141,x] = F[142,x]
F[142,x] = F[127,x]*F[26,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]*F[26,x]
F[145,x] = F[146,x]
F[146,x] = F[116,x]*F[120,x]*F[124,x]*F[26,x]
F[147,x] = F[148,x]+F[180,x]
F[148,x] = F[149,x]+F[152,x]
F[149,x] = F[150,x]*F[5,x]
F[150,x] = F[151,x]
F[151,x] = F[26,x]*F[89,x]
F[152,x] = F[153,x]+F[158,x]
F[153,x] = F[116,x]*F[154,x]
F[154,x] = F[155,x]
F[155,x] = F[156,x]*F[26,x]
F[156,x] = F[157,x]
F[157,x] = F[26,x]*F[88,x]
F[158,x] = F[159,x]
F[159,x] = F[156,x]*F[160,x]*F[26,x]
F[160,x] = F[161,x]+F[165,x]
F[161,x] = F[162,x]+F[2,x]
F[162,x] = F[163,x]
F[163,x] = F[116,x]*F[120,x]*F[164,x]*F[26,x]
F[164,x] = F[19,x]+F[2,x]
F[165,x] = F[11,x]+F[166,x]
F[166,x] = F[167,x]
F[167,x] = F[168,x]*F[26,x]
F[168,x] = F[169,x]+F[171,x]
F[169,x] = F[170,x]
F[170,x] = F[116,x]*F[26,x]*F[29,x]
F[171,x] = F[172,x]
F[172,x] = F[116,x]*F[173,x]*F[26,x]
F[173,x] = F[174,x]+F[179,x]
F[174,x] = F[128,x]+F[175,x]
F[175,x] = F[13,x]+F[176,x]
F[176,x] = 1/F[26,x]*F[177,x]
F[177,x] = F[178,x]
F[178,x] = -F[21,x]+F[15,x]
F[179,x] = F[175,x]*F[26,x]
F[180,x] = F[181,x]
F[181,x] = F[134,x]*F[156,x]*F[26,x]
F[182,x] = F[183,x]+F[79,x]
F[183,x] = F[184,x]
F[184,x] = F[185,x]*F[26,x]
F[185,x] = F[186,x]+F[83,x]
F[186,x] = F[187,x]
F[187,x] = F[10,x]*F[188,x]*F[26,x]
F[188,x] = F[189,x]+F[83,x]
F[189,x] = 1/F[70,x]*F[190,x]
F[190,x] = F[191,x]
F[191,x] = -F[224,x]+F[192,x]
F[192,x] = 1/F[26,x]*F[193,x]
F[193,x] = F[194,x]
F[194,x] = -F[223,x]+F[195,x]
F[195,x] = F[196,x]+F[215,x]
F[196,x] = -F[214,x]+F[197,x]
F[197,x] = 1/F[26,x]*F[198,x]
F[198,x] = F[199,x]
F[199,x] = -F[213,x]+F[200,x]
F[200,x] = -F[203,x]+F[201,x]
F[201,x] = 1/F[26,x]*F[202,x]
F[202,x] = F[6,x]
F[203,x] = F[204,x]+F[206,x]
F[204,x] = F[205,x]
F[205,x] = F[20,x]*F[26,x]*F[85,x]
F[206,x] = F[207,x]
F[207,x] = F[208,x]*F[26,x]
F[208,x] = F[209,x]
F[209,x] = F[210,x]*F[26,x]
F[210,x] = F[211,x]+F[212,x]
F[211,x] = F[174,x]*F[78,x]
F[212,x] = F[175,x]*F[86,x]
F[213,x] = F[0,x]*F[2,x]
F[214,x] = F[19,x]*F[4,x]
F[215,x] = F[216,x]
F[216,x] = F[217,x]*F[26,x]
F[217,x] = F[218,x]+F[221,x]
F[218,x] = F[219,x]*F[85,x]
F[219,x] = 1/F[26,x]*F[220,x]
F[220,x] = F[15,x]
F[221,x] = F[222,x]
F[222,x] = F[26,x]*F[70,x]*F[78,x]
F[223,x] = F[20,x]*F[83,x]
F[224,x] = F[225,x]+F[226,x]
F[225,x] = F[30,x]*F[82,x]
F[226,x] = F[227,x]
F[227,x] = F[70,x]*F[86,x]
F[228,x] = F[229,x]
F[229,x] = F[127,x]*F[86,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{26}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{74}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{2}\! \left(x \right)
F_{10}\! \left(x \right) = F_{0}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{26}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{27}\! \left(x \right)
F_{14}\! \left(x \right) = F_{10}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = -F_{27}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{0}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{26}\! \left(x \right)
F_{23}\! \left(x \right) = \frac{F_{24}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{26}\! \left(x \right) = x
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{26}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{72}\! \left(x \right)
F_{30}\! \left(x \right) = \frac{F_{31}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{35}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{18}\! \left(x \right)
F_{35}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = \frac{F_{37}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{37}\! \left(x \right) = F_{21}\! \left(x \right)
F_{38}\! \left(x \right) = F_{20}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{26}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{58}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{44}\! \left(x \right)
F_{43}\! \left(x \right) = F_{0}\! \left(x \right) F_{38}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{23}\! \left(x \right) F_{26}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{38}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{48}\! \left(x \right) = -F_{42}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = \frac{F_{50}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = -F_{54}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = \frac{F_{53}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{53}\! \left(x \right) = F_{18}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{26}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{32}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{61}\! \left(x \right)
F_{59}\! \left(x \right) = F_{0}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{31}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{26}\! \left(x \right) F_{63}\! \left(x \right) F_{70}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{26}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{0}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{10}\! \left(x \right) F_{26}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{0}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{3}\! \left(x \right)
F_{70}\! \left(x \right) = \frac{F_{71}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{71}\! \left(x \right) = F_{47}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{26}\! \left(x \right) F_{70}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{26}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{228}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{13}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{26}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{86}\! \left(x \right)
F_{82}\! \left(x \right) = F_{78}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{10}\! \left(x \right) F_{26}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{78}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{26}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{182}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{4}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = -F_{93}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = \frac{F_{92}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{92}\! \left(x \right) = F_{6}\! \left(x \right)
F_{93}\! \left(x \right) = F_{79}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)+F_{96}\! \left(x \right)
F_{95}\! \left(x \right) = F_{26}\! \left(x \right) F_{5}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{26}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{147}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{130}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{105}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{5}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{26}\! \left(x \right)
F_{104}\! \left(x \right) = F_{4}\! \left(x \right)+F_{83}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{26}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{112}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{110}\! \left(x \right)
F_{109}\! \left(x \right) = F_{84}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{10}\! \left(x \right) F_{26}\! \left(x \right) F_{83}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{26}\! \left(x \right) F_{81}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{124}\! \left(x \right) F_{26}\! \left(x \right)
F_{116}\! \left(x \right) = F_{1}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{26}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{121}\! \left(x \right)
F_{120}\! \left(x \right) = F_{1}\! \left(x \right)+F_{26}\! \left(x \right)
F_{121}\! \left(x \right) = F_{117}\! \left(x \right)+F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{117}\! \left(x \right) F_{26}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{13}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{26}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{14}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{26}\! \left(x \right) F_{70}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{26}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{26}\! \left(x \right) F_{81}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{6}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{143}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{26}\! \left(x \right)
F_{140}\! \left(x \right) = F_{13}\! \left(x \right)+F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{127}\! \left(x \right) F_{26}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{26}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{116}\! \left(x \right) F_{120}\! \left(x \right) F_{124}\! \left(x \right) F_{26}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{180}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{152}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right) F_{5}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{26}\! \left(x \right) F_{89}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{158}\! \left(x \right)
F_{153}\! \left(x \right) = F_{116}\! \left(x \right) F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{26}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{26}\! \left(x \right) F_{88}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{156}\! \left(x \right) F_{160}\! \left(x \right) F_{26}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{165}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{2}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{116}\! \left(x \right) F_{120}\! \left(x \right) F_{164}\! \left(x \right) F_{26}\! \left(x \right)
F_{164}\! \left(x \right) = F_{19}\! \left(x \right)+F_{2}\! \left(x \right)
F_{165}\! \left(x \right) = F_{11}\! \left(x \right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right) F_{26}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{171}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{116}\! \left(x \right) F_{26}\! \left(x \right) F_{29}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{116}\! \left(x \right) F_{173}\! \left(x \right) F_{26}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{179}\! \left(x \right)
F_{174}\! \left(x \right) = F_{128}\! \left(x \right)+F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{13}\! \left(x \right)+F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = \frac{F_{177}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = -F_{21}\! \left(x \right)+F_{15}\! \left(x \right)
F_{179}\! \left(x \right) = F_{175}\! \left(x \right) F_{26}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{134}\! \left(x \right) F_{156}\! \left(x \right) F_{26}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)+F_{79}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{26}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{83}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{10}\! \left(x \right) F_{188}\! \left(x \right) F_{26}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)+F_{83}\! \left(x \right)
F_{189}\! \left(x \right) = \frac{F_{190}\! \left(x \right)}{F_{70}\! \left(x \right)}
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = -F_{224}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = \frac{F_{193}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = -F_{223}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)+F_{215}\! \left(x \right)
F_{196}\! \left(x \right) = -F_{214}\! \left(x \right)+F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = \frac{F_{198}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = -F_{213}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = -F_{203}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = \frac{F_{202}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{202}\! \left(x \right) = F_{6}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{206}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{20}\! \left(x \right) F_{26}\! \left(x \right) F_{85}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right) F_{26}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right) F_{26}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{212}\! \left(x \right)
F_{211}\! \left(x \right) = F_{174}\! \left(x \right) F_{78}\! \left(x \right)
F_{212}\! \left(x \right) = F_{175}\! \left(x \right) F_{86}\! \left(x \right)
F_{213}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{214}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right) F_{26}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{221}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right) F_{85}\! \left(x \right)
F_{219}\! \left(x \right) = \frac{F_{220}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{220}\! \left(x \right) = F_{15}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{26}\! \left(x \right) F_{70}\! \left(x \right) F_{78}\! \left(x \right)
F_{223}\! \left(x \right) = F_{20}\! \left(x \right) F_{83}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{226}\! \left(x \right)
F_{225}\! \left(x \right) = F_{30}\! \left(x \right) F_{82}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{70}\! \left(x \right) F_{86}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{127}\! \left(x \right) F_{86}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_26(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_26(x)*F_8(x))
Eq(F_8(x), F_74(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_2(x))
Eq(F_10(x), F_0(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_26(x))
Eq(F_13(x), F_14(x) + F_27(x))
Eq(F_14(x), F_10(x) + F_15(x))
Eq(F_15(x), F_16(x) - F_27(x))
Eq(F_16(x), F_17(x)/F_26(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x) - F_2(x))
Eq(F_19(x), -F_0(x) + F_20(x))
Eq(F_20(x), F_0(x) + F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_23(x)*F_26(x))
Eq(F_23(x), F_24(x)/F_26(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_2(x) + F_6(x))
Eq(F_26(x), x)
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_26(x)*F_29(x))
Eq(F_29(x), F_30(x) + F_72(x))
Eq(F_30(x), F_31(x)/F_26(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x) - F_35(x))
Eq(F_33(x), F_34(x)/F_26(x))
Eq(F_34(x), F_18(x))
Eq(F_35(x), F_36(x) - F_38(x))
Eq(F_36(x), F_37(x)/F_26(x))
Eq(F_37(x), F_21(x))
Eq(F_38(x), F_20(x) + F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_26(x)*F_41(x))
Eq(F_41(x), F_42(x) + F_58(x))
Eq(F_42(x), F_43(x) + F_44(x))
Eq(F_43(x), F_0(x)*F_38(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_23(x)*F_26(x)*F_46(x))
Eq(F_46(x), F_38(x) + F_47(x))
Eq(F_47(x), F_48(x)/F_0(x))
Eq(F_48(x), -F_42(x) + F_49(x))
Eq(F_49(x), F_50(x)/F_26(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_52(x) - F_54(x))
Eq(F_52(x), F_53(x)/F_26(x))
Eq(F_53(x), F_18(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_26(x)*F_56(x))
Eq(F_56(x), F_57(x)/F_26(x))
Eq(F_57(x), F_32(x))
Eq(F_58(x), F_59(x) + F_61(x))
Eq(F_59(x), F_0(x)*F_60(x))
Eq(F_60(x), F_31(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_26(x)*F_63(x)*F_70(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_26(x)*F_65(x))
Eq(F_65(x), F_0(x) + F_66(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_10(x)*F_26(x)*F_68(x))
Eq(F_68(x), F_0(x) + F_69(x))
Eq(F_69(x), F_3(x))
Eq(F_70(x), F_71(x)/F_26(x))
Eq(F_71(x), F_47(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_26(x)*F_70(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_26(x)*F_76(x))
Eq(F_76(x), F_228(x) + F_77(x))
Eq(F_77(x), F_13(x)*F_78(x))
Eq(F_78(x), F_4(x) + F_79(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_26(x)*F_81(x))
Eq(F_81(x), F_82(x) + F_86(x))
Eq(F_82(x), F_78(x) + F_83(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_10(x)*F_26(x)*F_85(x))
Eq(F_85(x), F_78(x) + F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_26(x)*F_88(x))
Eq(F_88(x), F_182(x) + F_89(x))
Eq(F_89(x), F_4(x) + F_90(x))
Eq(F_90(x), F_91(x) - F_93(x))
Eq(F_91(x), F_92(x)/F_26(x))
Eq(F_92(x), F_6(x))
Eq(F_93(x), F_79(x) + F_94(x))
Eq(F_94(x), F_95(x) + F_96(x))
Eq(F_95(x), F_26(x)*F_5(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_26(x)*F_98(x))
Eq(F_98(x), F_147(x) + F_99(x))
Eq(F_99(x), F_100(x) + F_130(x))
Eq(F_100(x), F_101(x) + F_105(x))
Eq(F_101(x), F_102(x)*F_5(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_26(x))
Eq(F_104(x), F_4(x) + F_83(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x)*F_26(x))
Eq(F_107(x), F_108(x) + F_112(x))
Eq(F_108(x), F_109(x) + F_110(x))
Eq(F_109(x), F_84(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_10(x)*F_26(x)*F_83(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_26(x)*F_81(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)*F_124(x)*F_26(x))
Eq(F_116(x), F_1(x) + F_117(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_26(x))
Eq(F_119(x), F_120(x) + F_121(x))
Eq(F_120(x), F_1(x) + F_26(x))
Eq(F_121(x), F_117(x) + F_122(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_117(x)*F_26(x))
Eq(F_124(x), F_125(x) + F_13(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_26(x))
Eq(F_127(x), F_128(x) + F_14(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_26(x)*F_70(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x)*F_26(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x)*F_26(x)*F_81(x))
Eq(F_134(x), F_135(x) - F_137(x))
Eq(F_135(x), F_136(x)/F_26(x))
Eq(F_136(x), F_6(x))
Eq(F_137(x), F_138(x) + F_143(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x)*F_26(x))
Eq(F_140(x), F_13(x) + F_141(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_127(x)*F_26(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x)*F_26(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_116(x)*F_120(x)*F_124(x)*F_26(x))
Eq(F_147(x), F_148(x) + F_180(x))
Eq(F_148(x), F_149(x) + F_152(x))
Eq(F_149(x), F_150(x)*F_5(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_26(x)*F_89(x))
Eq(F_152(x), F_153(x) + F_158(x))
Eq(F_153(x), F_116(x)*F_154(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_156(x)*F_26(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_26(x)*F_88(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_156(x)*F_160(x)*F_26(x))
Eq(F_160(x), F_161(x) + F_165(x))
Eq(F_161(x), F_162(x) + F_2(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_116(x)*F_120(x)*F_164(x)*F_26(x))
Eq(F_164(x), F_19(x) + F_2(x))
Eq(F_165(x), F_11(x) + F_166(x))
Eq(F_166(x), F_167(x))
Eq(F_167(x), F_168(x)*F_26(x))
Eq(F_168(x), F_169(x) + F_171(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_116(x)*F_26(x)*F_29(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_116(x)*F_173(x)*F_26(x))
Eq(F_173(x), F_174(x) + F_179(x))
Eq(F_174(x), F_128(x) + F_175(x))
Eq(F_175(x), F_13(x) + F_176(x))
Eq(F_176(x), F_177(x)/F_26(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_15(x) - F_21(x))
Eq(F_179(x), F_175(x)*F_26(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_134(x)*F_156(x)*F_26(x))
Eq(F_182(x), F_183(x) + F_79(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_185(x)*F_26(x))
Eq(F_185(x), F_186(x) + F_83(x))
Eq(F_186(x), F_187(x))
Eq(F_187(x), F_10(x)*F_188(x)*F_26(x))
Eq(F_188(x), F_189(x) + F_83(x))
Eq(F_189(x), F_190(x)/F_70(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_192(x) - F_224(x))
Eq(F_192(x), F_193(x)/F_26(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x) - F_223(x))
Eq(F_195(x), F_196(x) + F_215(x))
Eq(F_196(x), F_197(x) - F_214(x))
Eq(F_197(x), F_198(x)/F_26(x))
Eq(F_198(x), F_199(x))
Eq(F_199(x), F_200(x) - F_213(x))
Eq(F_200(x), F_201(x) - F_203(x))
Eq(F_201(x), F_202(x)/F_26(x))
Eq(F_202(x), F_6(x))
Eq(F_203(x), F_204(x) + F_206(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_20(x)*F_26(x)*F_85(x))
Eq(F_206(x), F_207(x))
Eq(F_207(x), F_208(x)*F_26(x))
Eq(F_208(x), F_209(x))
Eq(F_209(x), F_210(x)*F_26(x))
Eq(F_210(x), F_211(x) + F_212(x))
Eq(F_211(x), F_174(x)*F_78(x))
Eq(F_212(x), F_175(x)*F_86(x))
Eq(F_213(x), F_0(x)*F_2(x))
Eq(F_214(x), F_19(x)*F_4(x))
Eq(F_215(x), F_216(x))
Eq(F_216(x), F_217(x)*F_26(x))
Eq(F_217(x), F_218(x) + F_221(x))
Eq(F_218(x), F_219(x)*F_85(x))
Eq(F_219(x), F_220(x)/F_26(x))
Eq(F_220(x), F_15(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_26(x)*F_70(x)*F_78(x))
Eq(F_223(x), F_20(x)*F_83(x))
Eq(F_224(x), F_225(x) + F_226(x))
Eq(F_225(x), F_30(x)*F_82(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_70(x)*F_86(x))
Eq(F_228(x), F_229(x))
Eq(F_229(x), F_127(x)*F_86(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, 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"requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], 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