01342_01423_01432_10342_10423_10432_13042

Counting sequence:
1, 1, 2, 6, 24, 113, 582, 3165, 17853, 103414, 611297, 3671932, 22346281, 137475514, 853545116, 5341228493, 33652543766, 213300100830, 1359126781826, 8701098757707, 55939978399844, 361014634617038, 2337907129244867, 15187839597712489, 98949717010238877, 646369319702112440, 4232572322931977124, 27778294501959365276, 182689287816463170550, 1203824482352307215409, 7946915369269217835982, 52549392970359712955838, 348035706582921300722236, 2308471298155191532070255, 15333140847851708542692123, 101978469337505561984458713, 679085255014524740351138991, 4527400808710121548081131060, 30217266526096111228499670109, 201891426297846684175670575106, 1350248924917076587262216366493, 9039024899528276321050534996584, 60564923933118296406113974674295, 406157149652723559216231518557688, 2725982886125507220981418383912562, 18310161349669360510236855307237896, 123079644313808530023904148812841696, 827925522206437608260631865310799177, 5573065371129070445178433420400917298, 37538982759205472102563457501642028303, 253014129889918275022302330853030399436, 1706357682801102886286285449117723486384, 11514580861627466663484250902611493616555, 77744431694572336933464300132738361607863, 525199647898450532833490166145750941578494, 3549808403685932581806585880841930538286627, 24005049275937361016516790391734005098562183, 162408881004817912182610450334771064796082426, 1099307310651009162608041551264663260980916465, 7444296980169307575493276181681383799973000593, 50433244720855395872274758836064144902541602078, 341816101595692611424957070341557312435195673323, 2317632420076583309196332923430604707718270089716, 15720536602051544417420464333447494552041787227210, 106673254599934994485347075538650096167438007940759, 724109008348597525784180458437432414155607936774306, 4917084496045199630321090321980931031971056552702793, 33401196278480751479460040016321926630875424632937943, 226966898468332513229578143492384587116893953433271512, 1542783176922348405805853393656062574927237235135577599, 10490230722730218075804917186837985711086697741321224072, 71350831566611923972241088544469701726979212883156198885, 485448468100064893144410431791998865888083038296570584977, 3303799840399146890039686550502774870100565552844226310116, 22490927468082542368760747666486779562875766940025173554910, 153151316025179454300566268466220764597172129886393693997516, 1043159339583951323705012965471661114034410548677552268212971, 7107126767661525081884508219129804599203092617411034202280461, 48433742557892037326267574567167221637825476749244973163109437, 330148803115048119179662449752713583602930301908814414603449839, 2251004889236138746280452542980633926193306745492384888888067378, 15351313681202766227633863870020345576642832814514210543793075748, 104716358245092851716392775894107589989259951953264286008820197846, 714465007426722851684477940456990594553060114802682943231900500496, 4875762064041452961348400737230690024513136950849359682776746670528, 33281040510002277181046145225553924823343385790706747624996203005652, 227217595957549364235841680469795497602846085255318504060379631795298, 1551585085189200127834435817240988851822420424019252435461307970624704, 10597313274897211028723976758280735006849541982790160640556953744624040, 72393659378084860065782295374953372598019114037203546397841115123186283, 494638563612942452976810397232323537375777549082982866510086847013051073, 3380307958694568163935114558761312934809558338688771475663918969478821821, 23104876158018650614687175635405235074876894437890104842452318570192517512, 157953185721480816218255043936834093021154019202023127939884942663970683224, 1080012649936184714919320360774354880135864704134436572854187061403603792328, 7385899555701463787245064061107555859334813328328778227603245403554311776166, 50518505992556446615480245850059652718568934479713581790475412443037023948976, 345595945724088678808926817495338158367369681982616481887132619449111256822110, 2364592774035586230352771049909544652455002735522264607446505048343601786014281, 16181256401603863453495122441992407766230752221664137906295665229400687770492309, 110747749629400020878691790474055479187172914248711575090860689513081918066042137

Implicit equation for the generating function in Maple syntax:
x*(x^3+4*x^2+6*x+8)*(x-1)^3*F(x)^9-x*(3*x^4+16*x^3+19*x^2+5*x-64)*(x-1)^2*F(x)^8+(x-1)*(3*x^6+28*x^5+31*x^4-66*x^3-214*x^2+228*x-2)*F(x)^7+(-x^7-27*x^6-44*x^5+186*x^4+282*x^3-866*x^2+484*x-13)*F(x)^6+(14*x^6+69*x^5-161*x^4-412*x^3+1099*x^2-650*x+35)*F(x)^5+(-3*x^6-51*x^5+48*x^4+433*x^3-935*x^2+570*x-50)*F(x)^4+(19*x^5+22*x^4-298*x^3+530*x^2-321*x+40)*F(x)^3-(x-1)*(3*x^4+27*x^3-97*x^2+92*x-17)*F(x)^2+(8*x^2-13*x+3)*(x-1)^2*F(x)-x*(x-1)^3 = 0

Implicit equation for the generating function in latex syntax:
x \left(x^{3}+4 x^{2}+6 x +8\right) \left(x -1\right)^{3} F \! \left(x \right)^{9}-x \left(3 x^{4}+16 x^{3}+19 x^{2}+5 x -64\right) \left(x -1\right)^{2} F \! \left(x \right)^{8}+\left(x -1\right) \left(3 x^{6}+28 x^{5}+31 x^{4}-66 x^{3}-214 x^{2}+228 x -2\right) F \! \left(x \right)^{7}+\left(-x^{7}-27 x^{6}-44 x^{5}+186 x^{4}+282 x^{3}-866 x^{2}+484 x -13\right) F \! \left(x \right)^{6}+\left(14 x^{6}+69 x^{5}-161 x^{4}-412 x^{3}+1099 x^{2}-650 x +35\right) F \! \left(x \right)^{5}+\left(-3 x^{6}-51 x^{5}+48 x^{4}+433 x^{3}-935 x^{2}+570 x -50\right) F \! \left(x \right)^{4}+\left(19 x^{5}+22 x^{4}-298 x^{3}+530 x^{2}-321 x +40\right) F \! \left(x \right)^{3}-\left(x -1\right) \left(3 x^{4}+27 x^{3}-97 x^{2}+92 x -17\right) F \! \left(x \right)^{2}+\left(8 x^{2}-13 x +3\right) \left(x -1\right)^{2} F \! \left(x \right)-x \left(x -1\right)^{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) = 582
a(7) = 3165
a(8) = 17853
a(9) = 103414
a(10) = 611297
a(11) = 3671932
a(12) = 22346281
a(13) = 137475514
a(14) = 853545116
a(15) = 5341228493
a(16) = 33652543766
a(17) = 213300100830
a(18) = 1359126781826
a(19) = 8701098757707
a(20) = 55939978399844
a(21) = 361014634617038
a(22) = 2337907129244867
a(23) = 15187839597712489
a(24) = 98949717010238877
a(25) = 646369319702112440
a(26) = 4232572322931977124
a(27) = 27778294501959365276
a(28) = 182689287816463170550
a(29) = 1203824482352307215409
a(30) = 7946915369269217835982
a(31) = 52549392970359712955838
a(32) = 348035706582921300722236
a(33) = 2308471298155191532070255
a(34) = 15333140847851708542692123
a(35) = 101978469337505561984458713
a(36) = 679085255014524740351138991
a(37) = 4527400808710121548081131060
a(38) = 30217266526096111228499670109
a(39) = 201891426297846684175670575106
a(40) = 1350248924917076587262216366493
a(41) = 9039024899528276321050534996584
a(42) = 60564923933118296406113974674295
a(43) = 406157149652723559216231518557688
a(44) = 2725982886125507220981418383912562
a(45) = 18310161349669360510236855307237896
a(46) = 123079644313808530023904148812841696
a(47) = 827925522206437608260631865310799177
a(48) = 5573065371129070445178433420400917298
a(49) = 37538982759205472102563457501642028303
a(50) = 253014129889918275022302330853030399436
a(51) = 1706357682801102886286285449117723486384
a(52) = 11514580861627466663484250902611493616555
a(53) = 77744431694572336933464300132738361607863
a(54) = 525199647898450532833490166145750941578494
a(55) = 3549808403685932581806585880841930538286627
a(56) = 24005049275937361016516790391734005098562183
a(57) = 162408881004817912182610450334771064796082426
a(58) = 1099307310651009162608041551264663260980916465
a(59) = 7444296980169307575493276181681383799973000593
a(60) = 50433244720855395872274758836064144902541602078
a(61) = 341816101595692611424957070341557312435195673323
a(62) = 2317632420076583309196332923430604707718270089716
a(63) = 15720536602051544417420464333447494552041787227210
a(64) = 106673254599934994485347075538650096167438007940759
a(65) = 724109008348597525784180458437432414155607936774306
a(66) = 4917084496045199630321090321980931031971056552702793
a(67) = 33401196278480751479460040016321926630875424632937943
a(68) = 226966898468332513229578143492384587116893953433271512
a(69) = 1542783176922348405805853393656062574927237235135577599
a(70) = 10490230722730218075804917186837985711086697741321224072
a(71) = 71350831566611923972241088544469701726979212883156198885
a(72) = 485448468100064893144410431791998865888083038296570584977
a(73) = 3303799840399146890039686550502774870100565552844226310116
a(74) = 22490927468082542368760747666486779562875766940025173554910
a(75) = 153151316025179454300566268466220764597172129886393693997516
a(76) = 1043159339583951323705012965471661114034410548677552268212971
a(77) = 7107126767661525081884508219129804599203092617411034202280461
a(78) = 48433742557892037326267574567167221637825476749244973163109437
a(79) = 330148803115048119179662449752713583602930301908814414603449839
a(80) = 2251004889236138746280452542980633926193306745492384888888067378
a(81) = 15351313681202766227633863870020345576642832814514210543793075748
a(82) = 104716358245092851716392775894107589989259951953264286008820197846
a(83) = 714465007426722851684477940456990594553060114802682943231900500496
a(84) = 4875762064041452961348400737230690024513136950849359682776746670528
a(85) = 33281040510002277181046145225553924823343385790706747624996203005652
a(86) = 227217595957549364235841680469795497602846085255318504060379631795298
a(87) = 1551585085189200127834435817240988851822420424019252435461307970624704
a(88) = 10597313274897211028723976758280735006849541982790160640556953744624040
a(89) = 72393659378084860065782295374953372598019114037203546397841115123186283
a(90) = 494638563612942452976810397232323537375777549082982866510086847013051073
a(91) = 3380307958694568163935114558761312934809558338688771475663918969478821821
a(92) = 23104876158018650614687175635405235074876894437890104842452318570192517512
a(93) = 157953185721480816218255043936834093021154019202023127939884942663970683224
a(94) = 1080012649936184714919320360774354880135864704134436572854187061403603792328
a(95) = 7385899555701463787245064061107555859334813328328778227603245403554311776166
a(96) = 50518505992556446615480245850059652718568934479713581790475412443037023948976
a(97) = 345595945724088678808926817495338158367369681982616481887132619449111256822110
a(98) = 2364592774035586230352771049909544652455002735522264607446505048343601786014281
a(99) = 16181256401603863453495122441992407766230752221664137906295665229400687770492309
a(100) = 110747749629400020878691790474055479187172914248711575090860689513081918066042137
a(101) = 758093962175164672703649167468839615089868211775998489447877508801711801715672679
a(102) = 5190095263777962872991245155591841494321985953065547102908514769550565146827219052
a(103) = 35537799295049201539782594052588310588100102872398592967676453631407533851404182168
a(104) = 243370212953222349438126977941806979523417290123562158209845477564827705739634891873
a(105) = 1666881864451266617531717321382759742158628113207889407120120882570590937543268583625
a(106) = 11418303406892070748566936607673490519130090363588304915677801353214115628207500290666
a(107) = 78226982285642943554563029328666914093892701535838459475981608481268618292687533624504
a(108) = 536004863241619176896922781049076427484304128222372795837450357591712096169566765193096
a(109) = 3673135776761133527296389175857673181030420169758988052080918273316569113033325310630222
a(110) = 25174468291987009500761812252637078614279144868257760257943351647895201716887788236165103
a(111) = 172559035366749025713758373162311146936045237030988759073184684964005290548103393320052874
a(112) = 1182954943224611588717901130685802631563397387609525488542930131443847153006395800308900154
a(113) = 8110560305922082170261979632266816557861824628593565935828343188517582157186170144275659534
a(114) = 55614078646918039121596528012936713442943576174443271018436957725452066620332667674664739755
a(115) = 381389711545012252419654721171515386369696662762356247004609537179128191740370467879634620124
a(116) = 2615788728313429772050450989744809290134634559622280291495812042724643494526118468570525780430
a(117) = 17942583176691137396677422306280974072214587042260222951150337977473160649316948089173613296139
a(118) = 123087813358677350709519849745196267500254919477056138282798963586983275320205254589795602385291
a(119) = 844485352342009921230060879704099703477114827189141590000159748306688702594706422076026220788582
a(120) = 5794492085852715666195172784737671538150391834476594719100588367300622773296407844716539077056650
a(121) = 39763449007815832895721669567540740232377445742857818692941186224167631110681813107640505816504511
a(122) = 272896139274682474930827004455841517774806760247284441834147476340296525489265291265398527668657877
a(123) = 1873072882912274556300672756477441964695247870334876756481930936144105588822243511534582172344416285
a(124) = 12857460205169500553515759616149690113850157345345245806916038384464030858940207953229190774087383896
a(125) = 88266972926898351584388340873721500477919490892602397924811460050485805512344461135407625979332229232
a(126) = 606014659280132788154837962415539718135132416085177843160778635980395080509605854959470573748800354997
a(127) = 4161110188291132864601744921623874721150667033556432467613378956005950436232970043051465881147638586010
a(128) = 28574316135309057614909577110850049419028810620445259040589090153650131554416403492238744627964440660844
a(129) = 196237672656826380693240884975751288219847641129311447295561931393844496947405674642618264260219862452657
a(130) = 1347808579770560868698127005331133747790683191256718659200050972248872937715928063896740356863264553662412
a(131) = 9257905389081796186675794868602429261231350143511033951328460727939704021544973939157654172197261479359901
a(132) = 63596814055441130324409437029419236011853007064857614819680416293290326112157259472393168740038616080680703
a(133) = 436913541511431157016371055498916016085122272249545040462301644117822806014785180075766718574188655940348270
a(134) = 3001875051707650973815277847649679586053798410461116545975761916791439562454948330349904422366308149011545549
a(135) = 20626527865693834636271703166189801151155835156027294659975002661098773025611003227130474394099004090852051807
a(136) = 141741007702247750150980715391315618047329319811657855576994444401198165243392633196200794231241395127215824714
a(137) = 974092612188477678795561773044904461312252158432719635197707618505783607340338413636476518320861460218593077464
a(138) = 6694834004678185358365780661766313609028455054321380446961126053653351211557735866745419325430344714256070573820
a(139) = 46016512752585592759920555704083424069413713866326898685641285705955099276068253047803012343887775402445103226485
a(140) = 316316194733024647592421979160525041007137555679329598246784710886610935916674331816212048690741533352184122392642
a(141) = 2174515473404462963000759679071763743500243953422409735754968387593281621955522696222866685240593921463325693937590
a(142) = 14949836953571241349201295463757452070485137311770880369595021213512535205359344879411042203239715820038010699153056
a(143) = 102788097229533528346132854607662321104172357868412010636838893802438837697630275491755026852134848873241621277541018
a(144) = 706774970715609668294500117507468921644586382751865430488763636397893198298050626268625035792027586865562606910609108
a(145) = 4860165037109861623084545168379203360508462225088894316113996764521643487220768826606060725306521980489597164699042250
a(146) = 33423502592410511955575511181687921782093163067162734409833828508496544206357307727529000262987704847386035648797082761
a(147) = 229870671287941110585612070701837835014772472722324380214523400202943515419908971492962548153793418381825722758098092333
a(148) = 1581049307012335715844043410654984513304301858625825248202723210927911332529830137731791359157573727406469290272959839388
a(149) = 10875196223025527235391690305606852990693402936911936676787002087816647266028623968014319954032752608084741473574660985674
a(150) = 74809754070141741896075579494359296526479753315424230350988942358576835208429967123926492468381029560802952753709063032532
a(151) = 514645758963769869905437004416457241723379843351301712480442243442812613385484417918426285677955797626162873116036170007725
a(152) = 3540684512343940348533884357497196322946164644489504390083745181830262744697917387028476277423407350698236700216680341363939
a(153) = 24360957253602756190028141958133267839003017076068096992437649227213197735254618250431242442445938301101243241058343978118130
a(154) = 167621369423557771997530445790326886219798155329108666557961178478899295799736898698904960227040971907641560519579664324048973
a(155) = 1153431940075516472226136082308613048706815936257373690369334418767745644994801009360975846462953025251959090208922524626525760
a(156) = 7937463877235402464191539771718788502916006886382219146429004331947214113158211196480542074580552062052063278172664465408155253
a(157) = 54625874368951314592971407888179383721623885569181117690634652961164475494401531143542397038956806284151793174416238004933510195
a(158) = 375959922204885685830038264306977855340858214585291345110278828275870525055063950443525104664443890492372530519054298830690826992
a(159) = 2587681824077379178182870102227504304919579067226820465604069585313381829786312713117953399934644922002653546874831331340778466080
a(160) = 17811727640515322354779298691993345605379269303887244282384436216826626557273337839311593137025476695099745539576025411829369086837
a(161) = 122610239174086747797215427973613744943562854505429898122470456160801829014957884724459849669613607312275253362671545079100497678333
a(162) = 844058680258261913533965134821560893540134849292143553610615447504848354704347712178607492398900452662284226985903589845367255683549
a(163) = 5810900481320074029133356286615850129009920895179097212726712310169423805015271791602494807556136302264128395409258557904003515963129
a(164) = 40007261618085515533105529821329038727148820618888696640185596545174001090203948507590072218543792684428671719590931072616324256503924
a(165) = 275459976812142618457509472894318445673105803834410396619002281049591009768451858287864642244168587891607430610682877188532766017405685
a(166) = 1896715463466370690023208633639235916745783236313427866693994903557060383857445327462078940624316282153590475582243786039445581991205445
a(167) = 13060793784545148880590274357620962652556132762794934089338361410352451587400972558437983969248031863185966798449837386958847555778442661
a(168) = 89941553753021317439360340938353026287543114709391467875744426080510963573956512390627303394968676200931602755189336068722828854070807639
a(169) = 619404486043456978264341433140748063533585751684956485831597525718958523973464340212148901664616192286519498879857152091230546769426122627
a(170) = 4265905011534883622359238464899258182330016730267744243985447421404923705760904929898669063795739462104064426339686933249540961799667538913
a(171) = 29381273801843662800809464336642462289312447034202877475570003150742715910517974276777974204609247190732358549894874168177094855357471095022
a(172) = 202372921362856236879808187340148540559756145182832070050416633786804418328359101201472905652853004902837481659877490185621729063105331274343
a(173) = 1393979103169897616637063312185517760723913422540552511242196912229166579239461356544355707907327070321173424383400128809768560376482905209691
a(174) = 9602447748481723455355478246111866534772296934055133884954070459744938114860516604764895406482082395252988009787926513485565200630666239437549
a(175) = 66149903995047302819685153021917803702778586929017422462984246189214497539983622073114784891916139261560480657273955431588694280514235590104114
a(176) = 455719711665626403695491473384636291509713313330684575939411533984731268357973115370463903389389246618459092403374665128185903221460481693465406
a(177) = 3139695262894729469347358428508026877347184897854043284558173462412841161374887956977485664635596174327967447899372172018339914519215124977443249
a(178) = 21632067613715200123181581821646265453088075098897548428322046017734837220075080556646802883639303533330411999894501310890479814058493633939263041
a(179) = 149049039573242461598316499037637011132458607335057348724428426784455208534915161779228416579411680211450839648551892077326266295699124721744730911
a(180) = 1027024297569289772784271752437278158821259453427303670758725678062423197307716950957166721467997718854227370309536815484011610522724555360677531873
a(181) = 7077052458830999942700028073029748918692688364598362137197128504181201597520928328896756813856462078462191514622078919003632392642249998732482185409
a(182) = 48769022276109064377383986835230650252889888070403421235159425585993827010118617070453022635958138165564211743294025901858501037900620444364785250189
a(183) = 336089853842979363404254983910179223140850876928695996126471095599104444029532130333316901544495173697952420404256923118522998250330416283332794764574
a(184) = 2316254405544569521493844708112283800164117715974151594573721555171914150831814198844350720102544221649607115854303657554666218214216792468860697671421
a(185) = 15963804729663742517212003159731130909926464967176832854848599698306833700706285038831976664397369299640402140119344186095561783435960587900555881482779
a(186) = 110028613150529547500143103952671369726402076127820808499309255675181105962022980334625121822495185905276970842498030387368134011741830581752294968165656
a(187) = 758392011689245980883390717648721965023498055144953411318805624031058250162766665128141447928012809866046977163464163612752411128205029163650805549991406
a(188) = 5227578195598068082367723389837893453705595380687186311597810132623106861400704603988942943873575019321979777535144362266422615160444923419954449573500613
a(189) = 36035106053263877815553786432249659326715827381436138323296679315467139365430917403116368209024005075726634485110926651662676261008952754522068148904238289
a(190) = 248410160080899961160284110289144605494549765977860665785718310920811935194428829548692436467582758596390651496008666346905086550109316422949093249109361579
a(191) = 1712501640055686516103907417486042991152462856345564850581464673635301189742020639916478791942002796780490278528629009796936193306490698342376509101532134814
a(192) = 11806210970085556288470855837471107331817903005504486808493222592430110718207153183863271031365612359602540841324603572534312645118682468108266719233335890944
a(193) = 81396887580474706443166436568948256062730324171632399212789025432576577397864008989235288784739528016572343085469178260641147314667176107673573842847152706153
a(194) = 561206368417992364942226029305098700348443891220361214364338339885798347303236431174685231285064692770278773183487575636018904088770099977198431286372564347249
a(195) = 3869498961532792364776318104432979286808074557476914103491378773012013813012961970769968731078391721931947764413997114537309892639217990729761862062250967607674
a(196) = 26681119778933560888193261797573782312886403378503804219701294638901674816729727852900144836720281321381268952371669734362261925138522560689193039352520372949542
a(197) = 183979896348073169641172828045949234829386248128345068477791006590099976761317090805667574507651724381004268171147335753331686227881384847607148979968358440211192
a(198) = 1268684149805482473394566971686462907385679897864592205758134787156042318939586603249847261030204318138846252019485476095272523984105419811943830722391337148292044
a(199) = 8748897238214617687747505073372186652765062234455634560177911881573754802542042407627072657992084590189438261565292565523709937609066060966540008714180538607527984
a(200) = 60335040257010027583372106788278321105758407443593070722331166738141361559030357112276608130053867683181409382013651884085167791623645802534292024288147270442122976
a(201) = 416104318876554763405681025682337797353436341088971280070433722826337394349186989918939513131424709162939621828757274340722053030285143258412049036127348412124046178
a(202) = 2869795849873883914311531398208337399080728861879406254881701821522283014163224303596174355925283301163146565923484581406254351473428365298287667961211124427996625102
a(203) = 19793189661098591373397715986747215213455669312358124732591904727830294981872941099344549206850484571034323912545455977152538378384048546416533074642999548371397326927
a(204) = 136520042519172028506869840835901772132586507478222456831590158343467620603879304616878432295131479696463375325107771222986978644075799486163086045826676674033571424977
a(205) = 941656989232215132189727381459191985953638625690373651852262140373152851482703386471820464173905448447137279819245205821200409569707149384494685724357355507718410903197
a(206) = 6495380411851608228007045845480845977601795416618718913631109195238639545437855568822304251499646977691043264009005653033302279425198015902641123738320674876831232606158
a(207) = 44805552336072073900029588183123208897175743393907444378181123283565504217271392562621137450599011992242056098811753957954881995376374507744613810561339020760504982001094
a(208) = 309082430108574012283657427072164804292168551187195027391587983171297947740758081430987190989192586797950976948732387313565479054183020358538799972258296820945967155742810
a(209) = 2132219413178671839723029335342031537682744241196620210881593653808746499865628282102976566400480375930747137450979230937562377539745776122235381063519052972627109140009428
a(210) = 14709720343810577874639274469441892790266758310839956671659052072603664545668856740348273593748919101932588572912952096284669436134293500302256605675581626225975198927683549
a(211) = 101482637291944246448449070224561019304948306664815541236969688509766627696401376963609188290247160883649700057507891928258287959047951200546719463838831814964958496628728906
a(212) = 700154266282655634904989414479656448018761985223521715664057565925945164151962097807171198798873911004807292980501816386895499320027465265959376533152332347585909017012614566
a(213) = 4830702157939207359840360536741466762093106718173450977507674943892328296003659831668649504966228498059720306529912715785248144789071821237771791988301718933116477549657981027
a(214) = 33330449803481658070604066731020017771156496931027563150003973228252230008288699205897551144964511466587938382831832594450455144658360460330955150262049519588336073356919730506
a(215) = 229978027483452426498091401361243463080585912593264627664605092662888232337487997683329363689410551312466602370292752132815182340743879267322630994084278956713035305121060051025
a(216) = 1586885673262401667501996783391766187182770497549740889225954273131019728477178201354520069944858489809057722756151908485883445557290782771277422157313987812222780725564386657702
a(217) = 10950121237169687921559841237425163431507487935138835137300985794857200675872822448748284539863659368761536613901912954394666976804292038469038463789436910066566790257246540549615
a(218) = 75562458721577942202524016120876161582628544832224697135702852152467875615687110552066203762026149526704921518806759194230049577635558690151539016922481715443461266339598384249640
a(219) = 521443156702080557180115100255187272452032501143005949615129920000841458463859919621825135421070484362504887319068370755839133154252003756150504885729699652831195272362194557992236
a(220) = 3598499744451662560735794251896578754334252500246287306041922015878644302604871325051171052428406448899264456103382275112722586133071441897187642510917902785580186193340154913937441
a(221) = 24834159674247857585891762688387568292042411926706158025390142536109567104607883702043365052679942039052044968075637257563075042310290066081061601387273139169073747540499103309101634
a(222) = 171392111505118066413539681289624181295017416124545329721560803919443937726561220764863509123656262792837645172040070082230249925102291065428529253648975824460018335578468429218432314
a(223) = 1182892930026863899544440767301340694013988114421490157250687829671094300700532260518569907937423848158293136648207703161199607948435314832425022294522142704762571217619884685813913138
a(224) = 8164191276482764515125865148324980049077178668364080191881550171617791352927875046585480000326893386736277116826029134709415468882797540446010521010240830463611734081903293257737036842
a(225) = 56349999591396209296834727119913710804294391182578686450630160708358290981765055864095130848285982787051144353836228614227986069717627460963688707091033478506163154849037942772323734699
a(226) = 388944432218155422920273452091960056684643325995781010902929842254381930820519157327024140194071138736589855212642654136435998589675246424803588542425215967333669908710647707315289520850
a(227) = 2684688992336326997238600052003852798683823731190863044149139312522666848097466911379911282676606678476226047619795200010619357145127185696045612154177270687823512729601681753285146424049
a(228) = 18531606696971633340355445258016681992170418081886380641983944259666799602087967138201054347839923475806656800338611399044891559089675626012487667489936256308463561115103186745181813431139
a(n+229) = 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6658668178539536274756203467087*n^8+39486827738508200207123763236233672912482599360461374459854943568863316*n^7+16091818297471285609854774722732215093284707060555432618921932258931360246*n^6+3735566384729367041038002070298390796418879107856001936092231312319082226464*n^5+540468616348317682521292956912016270447033758780872020410112563163842762128023*n^4+49919641900646877902709951629727707059823214406007328887540035305490975709671484*n^3+2875186752485904526134378423829543717039148200331816186947348671368891753100209764*n^2+94433984594597002040847049158881496061219213201900983411955484461654850913202006416*n+1354423380008999045323288535055221808839092292118422465912613517370816905553555295360)/(2*n+459)/(2*n+457)/(2*n+451)/(n+229)/(n+228)/(n+227)/(n+226)/(n+224)*a(n+111)-1/382554314497846149120*(84627241346851962956636182069803461*n^8+9893142595923660342710477361285758246*n^7+489541466531610006125792826340118130434*n^6+13142404814241653703781501979344420964900*n^5+201348220967919921065613444399758535138089*n^4+1621370634917987863052466456315240277647134*n^3+3721904830704153118017168322636918261368096*n^2-33917261709821717374587648286064725344693480*n-190040359779521109352310284756551267279712080)/(2*n+459)/(2*n+457)/(2*n+451)/(n+229)/(n+228)/(n+227)/(n+226)/(n+224)*a(n+16)+1/255036209665230766080*(169207967948194201631468781622552933*n^8+36359509611330011440349676955316590441*n^7+3083893029239720860039003354581240987169*n^6+141114700930034430878336489218091249462623*n^5+3890927022961309683249869294052518514875002*n^4+66954570886819341278531833664608953367375624*n^3+707007751951959022098201549638374163974323216*n^2+4207116389159430556069376193022002565479382272*n+10833803511301729674522840605978210994920545920)/(2*n+459)/(2*n+457)/(2*n+451)/(n+229)/(n+228)/(n+227)/(n+226)/(n+224)*a(n+17)+1/510072419330461532160*(6401007268239462388948257719814624473*n^8+1149522944461189542646666456268424940146*n^7+88852510479842788071902010404374035082064*n^6+3875823841794234973231295580389861225947710*n^5+104634722621796379712964849997632308080304627*n^4+1793630214557143485928822228446818222500849584*n^3+19091684804702467100395420094809386660805264356*n^2+115491423602688882344007743023413624492834350880*n+304239859295650367672984438496685462216390972800)/(2*n+459)/(2*n+457)/(2*n+451)/(n+229)/(n+228)/(n+227)/(n+226)/(n+224)*a(n+18)+1/6120869031965538385920*(102295331081855488376687960384958841652064365510059187*n^8+39545232831150047026035070384746140879214503079460940804*n^7+6684566536463242078147651663538964898835506069554546804686*n^6+645337640371191712439492515998287511399194356481380020674816*n^5+38919102159508062528962180699396244652164139688532682712914523*n^4+1501445311164078031099922619379659735751801426964490455533810316*n^3+36185583478870769730078910876338496733775454452880062879091416804*n^2+498116565771835174049463174633614427509955477507526140689626536624*n+2998607257171372224542239092794801442327560368919482611174497237760)/(2*n+459)/(2*n+457)/(2*n+451)/(n+229)/(n+228)/(n+227)/(n+226)/(n+224)*a(n+47)+1/1020144838660923064320*(43634699686043272147441336012746035063809158145198295*n^8+17133496148537098722660871633909428135041431177679283364*n^7+2939887186899559255390895299682573218277390426543448978266*n^6+287909235262690515556292794167562402359449640132137221682788*n^5+17600412625249883191234309066146453958310030290194862253757515*n^4+687724459720035415858738653199370906178217367226625538773256536*n^3+16772987847078267617000188430000496197382064343039319027211519044*n^2+233437253046850103270589434642848590718311268039014209098501650912*n+1419333727240186052597889854829610528775723408657968805485786926720)/(2*n+459)/(2*n+457)/(2*n+451)/(n+229)/(n+228)/(n+227)/(n+226)/(n+224)*a(n+48)+1/765108628995692298240*(53517214099854803922358437418625233375812258607935943*n^8+21454220019355939054922818838684622090915803028905470732*n^7+3754952743936630430232135478401224115013425173425053568873*n^6+374730371046860270904069586489971128040281125264173522450823*n^5+23320311420696296787641695036325086529882364452648232578369122*n^4+926625330665524474352483750194830804776295678034871733170724133*n^3+22954810807547964103608135291738547801287597280531639766266800342*n^2+324086383269998228255017417812855013147955831941352482388325927552*n+1996209641322476116555175214369950334260792847631992218843820461280)/(2*n+459)/(2*n+457)/(2*n+451)/(n+229)/(n+228)/(n+227)/(n+226)/(n+224)*a(n+49), n >= 229

Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 113
a(6) = 582
a(7) = 3165
a(8) = 17853
a(9) = 103414
a(10) = 611297
a(11) = 3671932
a(12) = 22346281
a(13) = 137475514
a(14) = 853545116
a(15) = 5341228493
a(16) = 33652543766
a(17) = 213300100830
a(18) = 1359126781826
a(19) = 8701098757707
a(20) = 55939978399844
a(21) = 361014634617038
a(22) = 2337907129244867
a(23) = 15187839597712489
a(24) = 98949717010238877
a(25) = 646369319702112440
a(26) = 4232572322931977124
a(27) = 27778294501959365276
a(28) = 182689287816463170550
a(29) = 1203824482352307215409
a(30) = 7946915369269217835982
a(31) = 52549392970359712955838
a(32) = 348035706582921300722236
a(33) = 2308471298155191532070255
a(34) = 15333140847851708542692123
a(35) = 101978469337505561984458713
a(36) = 679085255014524740351138991
a(37) = 4527400808710121548081131060
a(38) = 30217266526096111228499670109
a(39) = 201891426297846684175670575106
a(40) = 1350248924917076587262216366493
a(41) = 9039024899528276321050534996584
a(42) = 60564923933118296406113974674295
a(43) = 406157149652723559216231518557688
a(44) = 2725982886125507220981418383912562
a(45) = 18310161349669360510236855307237896
a(46) = 123079644313808530023904148812841696
a(47) = 827925522206437608260631865310799177
a(48) = 5573065371129070445178433420400917298
a(49) = 37538982759205472102563457501642028303
a(50) = 253014129889918275022302330853030399436
a(51) = 1706357682801102886286285449117723486384
a(52) = 11514580861627466663484250902611493616555
a(53) = 77744431694572336933464300132738361607863
a(54) = 525199647898450532833490166145750941578494
a(55) = 3549808403685932581806585880841930538286627
a(56) = 24005049275937361016516790391734005098562183
a(57) = 162408881004817912182610450334771064796082426
a(58) = 1099307310651009162608041551264663260980916465
a(59) = 7444296980169307575493276181681383799973000593
a(60) = 50433244720855395872274758836064144902541602078
a(61) = 341816101595692611424957070341557312435195673323
a(62) = 2317632420076583309196332923430604707718270089716
a(63) = 15720536602051544417420464333447494552041787227210
a(64) = 106673254599934994485347075538650096167438007940759
a(65) = 724109008348597525784180458437432414155607936774306
a(66) = 4917084496045199630321090321980931031971056552702793
a(67) = 33401196278480751479460040016321926630875424632937943
a(68) = 226966898468332513229578143492384587116893953433271512
a(69) = 1542783176922348405805853393656062574927237235135577599
a(70) = 10490230722730218075804917186837985711086697741321224072
a(71) = 71350831566611923972241088544469701726979212883156198885
a(72) = 485448468100064893144410431791998865888083038296570584977
a(73) = 3303799840399146890039686550502774870100565552844226310116
a(74) = 22490927468082542368760747666486779562875766940025173554910
a(75) = 153151316025179454300566268466220764597172129886393693997516
a(76) = 1043159339583951323705012965471661114034410548677552268212971
a(77) = 7107126767661525081884508219129804599203092617411034202280461
a(78) = 48433742557892037326267574567167221637825476749244973163109437
a(79) = 330148803115048119179662449752713583602930301908814414603449839
a(80) = 2251004889236138746280452542980633926193306745492384888888067378
a(81) = 15351313681202766227633863870020345576642832814514210543793075748
a(82) = 104716358245092851716392775894107589989259951953264286008820197846
a(83) = 714465007426722851684477940456990594553060114802682943231900500496
a(84) = 4875762064041452961348400737230690024513136950849359682776746670528
a(85) = 33281040510002277181046145225553924823343385790706747624996203005652
a(86) = 227217595957549364235841680469795497602846085255318504060379631795298
a(87) = 1551585085189200127834435817240988851822420424019252435461307970624704
a(88) = 10597313274897211028723976758280735006849541982790160640556953744624040
a(89) = 72393659378084860065782295374953372598019114037203546397841115123186283
a(90) = 494638563612942452976810397232323537375777549082982866510086847013051073
a(91) = 3380307958694568163935114558761312934809558338688771475663918969478821821
a(92) = 23104876158018650614687175635405235074876894437890104842452318570192517512
a(93) = 157953185721480816218255043936834093021154019202023127939884942663970683224
a(94) = 1080012649936184714919320360774354880135864704134436572854187061403603792328
a(95) = 7385899555701463787245064061107555859334813328328778227603245403554311776166
a(96) = 50518505992556446615480245850059652718568934479713581790475412443037023948976
a(97) = 345595945724088678808926817495338158367369681982616481887132619449111256822110
a(98) = 2364592774035586230352771049909544652455002735522264607446505048343601786014281
a(99) = 16181256401603863453495122441992407766230752221664137906295665229400687770492309
a(100) = 110747749629400020878691790474055479187172914248711575090860689513081918066042137
a(101) = 758093962175164672703649167468839615089868211775998489447877508801711801715672679
a(102) = 5190095263777962872991245155591841494321985953065547102908514769550565146827219052
a(103) = 35537799295049201539782594052588310588100102872398592967676453631407533851404182168
a(104) = 243370212953222349438126977941806979523417290123562158209845477564827705739634891873
a(105) = 1666881864451266617531717321382759742158628113207889407120120882570590937543268583625
a(106) = 11418303406892070748566936607673490519130090363588304915677801353214115628207500290666
a(107) = 78226982285642943554563029328666914093892701535838459475981608481268618292687533624504
a(108) = 536004863241619176896922781049076427484304128222372795837450357591712096169566765193096
a(109) = 3673135776761133527296389175857673181030420169758988052080918273316569113033325310630222
a(110) = 25174468291987009500761812252637078614279144868257760257943351647895201716887788236165103
a(111) = 172559035366749025713758373162311146936045237030988759073184684964005290548103393320052874
a(112) = 1182954943224611588717901130685802631563397387609525488542930131443847153006395800308900154
a(113) = 8110560305922082170261979632266816557861824628593565935828343188517582157186170144275659534
a(114) = 55614078646918039121596528012936713442943576174443271018436957725452066620332667674664739755
a(115) = 381389711545012252419654721171515386369696662762356247004609537179128191740370467879634620124
a(116) = 2615788728313429772050450989744809290134634559622280291495812042724643494526118468570525780430
a(117) = 17942583176691137396677422306280974072214587042260222951150337977473160649316948089173613296139
a(118) = 123087813358677350709519849745196267500254919477056138282798963586983275320205254589795602385291
a(119) = 844485352342009921230060879704099703477114827189141590000159748306688702594706422076026220788582
a(120) = 5794492085852715666195172784737671538150391834476594719100588367300622773296407844716539077056650
a(121) = 39763449007815832895721669567540740232377445742857818692941186224167631110681813107640505816504511
a(122) = 272896139274682474930827004455841517774806760247284441834147476340296525489265291265398527668657877
a(123) = 1873072882912274556300672756477441964695247870334876756481930936144105588822243511534582172344416285
a(124) = 12857460205169500553515759616149690113850157345345245806916038384464030858940207953229190774087383896
a(125) = 88266972926898351584388340873721500477919490892602397924811460050485805512344461135407625979332229232
a(126) = 606014659280132788154837962415539718135132416085177843160778635980395080509605854959470573748800354997
a(127) = 4161110188291132864601744921623874721150667033556432467613378956005950436232970043051465881147638586010
a(128) = 28574316135309057614909577110850049419028810620445259040589090153650131554416403492238744627964440660844
a(129) = 196237672656826380693240884975751288219847641129311447295561931393844496947405674642618264260219862452657
a(130) = 1347808579770560868698127005331133747790683191256718659200050972248872937715928063896740356863264553662412
a(131) = 9257905389081796186675794868602429261231350143511033951328460727939704021544973939157654172197261479359901
a(132) = 63596814055441130324409437029419236011853007064857614819680416293290326112157259472393168740038616080680703
a(133) = 436913541511431157016371055498916016085122272249545040462301644117822806014785180075766718574188655940348270
a(134) = 3001875051707650973815277847649679586053798410461116545975761916791439562454948330349904422366308149011545549
a(135) = 20626527865693834636271703166189801151155835156027294659975002661098773025611003227130474394099004090852051807
a(136) = 141741007702247750150980715391315618047329319811657855576994444401198165243392633196200794231241395127215824714
a(137) = 974092612188477678795561773044904461312252158432719635197707618505783607340338413636476518320861460218593077464
a(138) = 6694834004678185358365780661766313609028455054321380446961126053653351211557735866745419325430344714256070573820
a(139) = 46016512752585592759920555704083424069413713866326898685641285705955099276068253047803012343887775402445103226485
a(140) = 316316194733024647592421979160525041007137555679329598246784710886610935916674331816212048690741533352184122392642
a(141) = 2174515473404462963000759679071763743500243953422409735754968387593281621955522696222866685240593921463325693937590
a(142) = 14949836953571241349201295463757452070485137311770880369595021213512535205359344879411042203239715820038010699153056
a(143) = 102788097229533528346132854607662321104172357868412010636838893802438837697630275491755026852134848873241621277541018
a(144) = 706774970715609668294500117507468921644586382751865430488763636397893198298050626268625035792027586865562606910609108
a(145) = 4860165037109861623084545168379203360508462225088894316113996764521643487220768826606060725306521980489597164699042250
a(146) = 33423502592410511955575511181687921782093163067162734409833828508496544206357307727529000262987704847386035648797082761
a(147) = 229870671287941110585612070701837835014772472722324380214523400202943515419908971492962548153793418381825722758098092333
a(148) = 1581049307012335715844043410654984513304301858625825248202723210927911332529830137731791359157573727406469290272959839388
a(149) = 10875196223025527235391690305606852990693402936911936676787002087816647266028623968014319954032752608084741473574660985674
a(150) = 74809754070141741896075579494359296526479753315424230350988942358576835208429967123926492468381029560802952753709063032532
a(151) = 514645758963769869905437004416457241723379843351301712480442243442812613385484417918426285677955797626162873116036170007725
a(152) = 3540684512343940348533884357497196322946164644489504390083745181830262744697917387028476277423407350698236700216680341363939
a(153) = 24360957253602756190028141958133267839003017076068096992437649227213197735254618250431242442445938301101243241058343978118130
a(154) = 167621369423557771997530445790326886219798155329108666557961178478899295799736898698904960227040971907641560519579664324048973
a(155) = 1153431940075516472226136082308613048706815936257373690369334418767745644994801009360975846462953025251959090208922524626525760
a(156) = 7937463877235402464191539771718788502916006886382219146429004331947214113158211196480542074580552062052063278172664465408155253
a(157) = 54625874368951314592971407888179383721623885569181117690634652961164475494401531143542397038956806284151793174416238004933510195
a(158) = 375959922204885685830038264306977855340858214585291345110278828275870525055063950443525104664443890492372530519054298830690826992
a(159) = 2587681824077379178182870102227504304919579067226820465604069585313381829786312713117953399934644922002653546874831331340778466080
a(160) = 17811727640515322354779298691993345605379269303887244282384436216826626557273337839311593137025476695099745539576025411829369086837
a(161) = 122610239174086747797215427973613744943562854505429898122470456160801829014957884724459849669613607312275253362671545079100497678333
a(162) = 844058680258261913533965134821560893540134849292143553610615447504848354704347712178607492398900452662284226985903589845367255683549
a(163) = 5810900481320074029133356286615850129009920895179097212726712310169423805015271791602494807556136302264128395409258557904003515963129
a(164) = 40007261618085515533105529821329038727148820618888696640185596545174001090203948507590072218543792684428671719590931072616324256503924
a(165) = 275459976812142618457509472894318445673105803834410396619002281049591009768451858287864642244168587891607430610682877188532766017405685
a(166) = 1896715463466370690023208633639235916745783236313427866693994903557060383857445327462078940624316282153590475582243786039445581991205445
a(167) = 13060793784545148880590274357620962652556132762794934089338361410352451587400972558437983969248031863185966798449837386958847555778442661
a(168) = 89941553753021317439360340938353026287543114709391467875744426080510963573956512390627303394968676200931602755189336068722828854070807639
a(169) = 619404486043456978264341433140748063533585751684956485831597525718958523973464340212148901664616192286519498879857152091230546769426122627
a(170) = 4265905011534883622359238464899258182330016730267744243985447421404923705760904929898669063795739462104064426339686933249540961799667538913
a(171) = 29381273801843662800809464336642462289312447034202877475570003150742715910517974276777974204609247190732358549894874168177094855357471095022
a(172) = 202372921362856236879808187340148540559756145182832070050416633786804418328359101201472905652853004902837481659877490185621729063105331274343
a(173) = 1393979103169897616637063312185517760723913422540552511242196912229166579239461356544355707907327070321173424383400128809768560376482905209691
a(174) = 9602447748481723455355478246111866534772296934055133884954070459744938114860516604764895406482082395252988009787926513485565200630666239437549
a(175) = 66149903995047302819685153021917803702778586929017422462984246189214497539983622073114784891916139261560480657273955431588694280514235590104114
a(176) = 455719711665626403695491473384636291509713313330684575939411533984731268357973115370463903389389246618459092403374665128185903221460481693465406
a(177) = 3139695262894729469347358428508026877347184897854043284558173462412841161374887956977485664635596174327967447899372172018339914519215124977443249
a(178) = 21632067613715200123181581821646265453088075098897548428322046017734837220075080556646802883639303533330411999894501310890479814058493633939263041
a(179) = 149049039573242461598316499037637011132458607335057348724428426784455208534915161779228416579411680211450839648551892077326266295699124721744730911
a(180) = 1027024297569289772784271752437278158821259453427303670758725678062423197307716950957166721467997718854227370309536815484011610522724555360677531873
a(181) = 7077052458830999942700028073029748918692688364598362137197128504181201597520928328896756813856462078462191514622078919003632392642249998732482185409
a(182) = 48769022276109064377383986835230650252889888070403421235159425585993827010118617070453022635958138165564211743294025901858501037900620444364785250189
a(183) = 336089853842979363404254983910179223140850876928695996126471095599104444029532130333316901544495173697952420404256923118522998250330416283332794764574
a(184) = 2316254405544569521493844708112283800164117715974151594573721555171914150831814198844350720102544221649607115854303657554666218214216792468860697671421
a(185) = 15963804729663742517212003159731130909926464967176832854848599698306833700706285038831976664397369299640402140119344186095561783435960587900555881482779
a(186) = 110028613150529547500143103952671369726402076127820808499309255675181105962022980334625121822495185905276970842498030387368134011741830581752294968165656
a(187) = 758392011689245980883390717648721965023498055144953411318805624031058250162766665128141447928012809866046977163464163612752411128205029163650805549991406
a(188) = 5227578195598068082367723389837893453705595380687186311597810132623106861400704603988942943873575019321979777535144362266422615160444923419954449573500613
a(189) = 36035106053263877815553786432249659326715827381436138323296679315467139365430917403116368209024005075726634485110926651662676261008952754522068148904238289
a(190) = 248410160080899961160284110289144605494549765977860665785718310920811935194428829548692436467582758596390651496008666346905086550109316422949093249109361579
a(191) = 1712501640055686516103907417486042991152462856345564850581464673635301189742020639916478791942002796780490278528629009796936193306490698342376509101532134814
a(192) = 11806210970085556288470855837471107331817903005504486808493222592430110718207153183863271031365612359602540841324603572534312645118682468108266719233335890944
a(193) = 81396887580474706443166436568948256062730324171632399212789025432576577397864008989235288784739528016572343085469178260641147314667176107673573842847152706153
a(194) = 561206368417992364942226029305098700348443891220361214364338339885798347303236431174685231285064692770278773183487575636018904088770099977198431286372564347249
a(195) = 3869498961532792364776318104432979286808074557476914103491378773012013813012961970769968731078391721931947764413997114537309892639217990729761862062250967607674
a(196) = 26681119778933560888193261797573782312886403378503804219701294638901674816729727852900144836720281321381268952371669734362261925138522560689193039352520372949542
a(197) = 183979896348073169641172828045949234829386248128345068477791006590099976761317090805667574507651724381004268171147335753331686227881384847607148979968358440211192
a(198) = 1268684149805482473394566971686462907385679897864592205758134787156042318939586603249847261030204318138846252019485476095272523984105419811943830722391337148292044
a(199) = 8748897238214617687747505073372186652765062234455634560177911881573754802542042407627072657992084590189438261565292565523709937609066060966540008714180538607527984
a(200) = 60335040257010027583372106788278321105758407443593070722331166738141361559030357112276608130053867683181409382013651884085167791623645802534292024288147270442122976
a(201) = 416104318876554763405681025682337797353436341088971280070433722826337394349186989918939513131424709162939621828757274340722053030285143258412049036127348412124046178
a(202) = 2869795849873883914311531398208337399080728861879406254881701821522283014163224303596174355925283301163146565923484581406254351473428365298287667961211124427996625102
a(203) = 19793189661098591373397715986747215213455669312358124732591904727830294981872941099344549206850484571034323912545455977152538378384048546416533074642999548371397326927
a(204) = 136520042519172028506869840835901772132586507478222456831590158343467620603879304616878432295131479696463375325107771222986978644075799486163086045826676674033571424977
a(205) = 941656989232215132189727381459191985953638625690373651852262140373152851482703386471820464173905448447137279819245205821200409569707149384494685724357355507718410903197
a(206) = 6495380411851608228007045845480845977601795416618718913631109195238639545437855568822304251499646977691043264009005653033302279425198015902641123738320674876831232606158
a(207) = 44805552336072073900029588183123208897175743393907444378181123283565504217271392562621137450599011992242056098811753957954881995376374507744613810561339020760504982001094
a(208) = 309082430108574012283657427072164804292168551187195027391587983171297947740758081430987190989192586797950976948732387313565479054183020358538799972258296820945967155742810
a(209) = 2132219413178671839723029335342031537682744241196620210881593653808746499865628282102976566400480375930747137450979230937562377539745776122235381063519052972627109140009428
a(210) = 14709720343810577874639274469441892790266758310839956671659052072603664545668856740348273593748919101932588572912952096284669436134293500302256605675581626225975198927683549
a(211) = 101482637291944246448449070224561019304948306664815541236969688509766627696401376963609188290247160883649700057507891928258287959047951200546719463838831814964958496628728906
a(212) = 700154266282655634904989414479656448018761985223521715664057565925945164151962097807171198798873911004807292980501816386895499320027465265959376533152332347585909017012614566
a(213) = 4830702157939207359840360536741466762093106718173450977507674943892328296003659831668649504966228498059720306529912715785248144789071821237771791988301718933116477549657981027
a(214) = 33330449803481658070604066731020017771156496931027563150003973228252230008288699205897551144964511466587938382831832594450455144658360460330955150262049519588336073356919730506
a(215) = 229978027483452426498091401361243463080585912593264627664605092662888232337487997683329363689410551312466602370292752132815182340743879267322630994084278956713035305121060051025
a(216) = 1586885673262401667501996783391766187182770497549740889225954273131019728477178201354520069944858489809057722756151908485883445557290782771277422157313987812222780725564386657702
a(217) = 10950121237169687921559841237425163431507487935138835137300985794857200675872822448748284539863659368761536613901912954394666976804292038469038463789436910066566790257246540549615
a(218) = 75562458721577942202524016120876161582628544832224697135702852152467875615687110552066203762026149526704921518806759194230049577635558690151539016922481715443461266339598384249640
a(219) = 521443156702080557180115100255187272452032501143005949615129920000841458463859919621825135421070484362504887319068370755839133154252003756150504885729699652831195272362194557992236
a(220) = 3598499744451662560735794251896578754334252500246287306041922015878644302604871325051171052428406448899264456103382275112722586133071441897187642510917902785580186193340154913937441
a(221) = 24834159674247857585891762688387568292042411926706158025390142536109567104607883702043365052679942039052044968075637257563075042310290066081061601387273139169073747540499103309101634
a(222) = 171392111505118066413539681289624181295017416124545329721560803919443937726561220764863509123656262792837645172040070082230249925102291065428529253648975824460018335578468429218432314
a(223) = 1182892930026863899544440767301340694013988114421490157250687829671094300700532260518569907937423848158293136648207703161199607948435314832425022294522142704762571217619884685813913138
a(224) = 8164191276482764515125865148324980049077178668364080191881550171617791352927875046585480000326893386736277116826029134709415468882797540446010521010240830463611734081903293257737036842
a(225) = 56349999591396209296834727119913710804294391182578686450630160708358290981765055864095130848285982787051144353836228614227986069717627460963688707091033478506163154849037942772323734699
a(226) = 388944432218155422920273452091960056684643325995781010902929842254381930820519157327024140194071138736589855212642654136435998589675246424803588542425215967333669908710647707315289520850
a(227) = 2684688992336326997238600052003852798683823731190863044149139312522666848097466911379911282676606678476226047619795200010619357145127185696045612154177270687823512729601681753285146424049
a(228) = 18531606696971633340355445258016681992170418081886380641983944259666799602087967138201054347839923475806656800338611399044891559089675626012487667489936256308463561115103186745181813431139
a{\left(n + 229 \right)} = - \frac{1931209 n \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(2 n + 1\right) \left(2 n + 3\right) \left(2 n + 5\right) a{\left(n \right)}}{3246047232 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(2 n + 3\right) \left(2 n + 5\right) \left(643595416489 n^{2} + 5660240265263 n + 12308982002940\right) a{\left(n + 1 \right)}}{7498369105920 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(2 n + 5\right) \left(71286206713393 n^{4} + 1362964609035699 n^{3} + 9753905989001365 n^{2} + 30903202798619029 n + 36433348703700270\right) a{\left(n + 2 \right)}}{14996738211840 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(n + 3\right) \left(n + 4\right) \left(39682595636866606 n^{6} + 1230567774343750101 n^{5} + 15903532390501599460 n^{4} + 109451062326714051951 n^{3} + 422300123811770310682 n^{2} + 864482889508350662256 n + 732075487166028597480\right) a{\left(n + 3 \right)}}{269941287813120 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(n + 4\right) \left(1324833051926257298 n^{7} + 54890836112010893373 n^{6} + 979908404908288893656 n^{5} + 9753505445112090833124 n^{4} + 58366650204681067164236 n^{3} + 209692172504323039257171 n^{2} + 418252086679387679272638 n + 356893311117850654397040\right) a{\left(n + 4 \right)}}{809823863439360 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} + \frac{\left(1012806076 n^{4} + 912491514848 n^{3} + 308288088231409 n^{2} + 46290967800499398 n + 2606520752203531653\right) a{\left(n + 228 \right)}}{2377476 \left(n + 224\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 459\right)} - \frac{\left(295036679207704 n^{6} + 398820622060336636 n^{5} + 224628130134674662070 n^{4} + 67475418260637847827905 n^{3} + 11401073192371529978627781 n^{2} + 1027402898702290296093951534 n + 38576317965634828523710150200\right) a{\left(n + 227 \right)}}{9414804960 \left(n + 224\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} + \frac{\left(584335939455980896 n^{7} + 920474367829267411356 n^{6} + 621411962150412808164776 n^{5} + 233061540005224588857544205 n^{4} + 52445528561991705808349736264 n^{3} + 7080976901126504833353783698749 n^{2} + 531130196269980064452979296055734 n + 17073699609763705722146962214937120\right) a{\left(n + 226 \right)}}{1186265424960 \left(n + 224\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(106229197793824149514 n^{8} + 5853437750971055332717 n^{7} + 141681729619415516923021 n^{6} + 1962907466972281310234173 n^{5} + 16992227894087038163218081 n^{4} + 93972087452277983218302718 n^{3} + 323832315686944242886900464 n^{2} + 635163760644380035518526272 n + 542492266709948681286689760\right) a{\left(n + 5 \right)}}{4858943180636160 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(357074679317931043944 n^{8} + 637905454641423471435876 n^{7} + 498578245071807262808879846 n^{6} + 222676310483535093251251389771 n^{5} + 62157923881821064574333497441196 n^{4} + 11104545125353271011181347147238649 n^{3} + 1239900745430648275799559100940928614 n^{2} + 79111008293432559102449320446408006264 n + 2208344975447646398939311662883408193280\right) a{\left(n + 225 \right)}}{28470370199040 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(2154575641369914634174 n^{8} + 141427921640564274363371 n^{7} + 4056627855912112192327455 n^{6} + 66313297691542356062391413 n^{5} + 675016591512014826209071041 n^{4} + 4378213643111904602373964604 n^{3} + 17661798387071796604266320090 n^{2} + 40500993969772671303446377932 n + 40411946813545043425716007680\right) a{\left(n + 6 \right)}}{4858943180636160 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} + \frac{\left(294864770811774628682656 n^{8} + 523189832385950963395787788 n^{7} + 406132205311605833264940263752 n^{6} + 180148718894228671851766376948941 n^{5} + 49942307186625801275334658139744494 n^{4} + 8860937044883646743910956229324332647 n^{3} + 982571954693867864489144590507759821018 n^{2} + 62259362460865354887345223739690653452624 n + 1725904126722187377040709583758358668643840\right) a{\left(n + 224 \right)}}{256233331791360 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(377076871679370928467560 n^{8} + 28141875451788876905582687 n^{7} + 915726059513714660112323639 n^{6} + 16959368928108037519185084680 n^{5} + 195455800815605899317078092525 n^{4} + 1435110279905638161342214625753 n^{3} + 6554837520229016787467225476176 n^{2} + 17026636348233710307575896159260 n + 19256993966767515183061963932960\right) a{\left(n + 7 \right)}}{43730488625725440 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(17248605459592724433470227 n^{8} + 1429011991381483209938920453 n^{7} + 51614802598652393416086012214 n^{6} + 1061352112723958857352307409891 n^{5} + 13587968939384415784734913536793 n^{4} + 110899467250526450669100815875372 n^{3} + 563469953577074890146200129509926 n^{2} + 1629512364698104459277319631342164 n + 2053575334309176779441111280890640\right) a{\left(n + 8 \right)}}{131191465877176320 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(94402061146170956627097160 n^{8} + 166821650697076945945196471036 n^{7} + 128971925985803441171452812775106 n^{6} + 56976224993003140277891658807721379 n^{5} + 15731347527000120055412810071793745110 n^{4} + 2779789378955870034377676451769084526749 n^{3} + 306995210204245766591714499506857171348504 n^{2} + 19373450235638629207205203243500138069992076 n + 534877217731126794964157563454290965059642880\right) a{\left(n + 223 \right)}}{1537399990748160 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(1241094482709872100438927472 n^{8} + 112649271654501509804817949861 n^{7} + 4460129449961449501132090301722 n^{6} + 100599510781371696910312032642694 n^{5} + 1413716657353980606158438918130658 n^{4} + 12674515977170344915870757372144809 n^{3} + 70794004476512318001658783571394828 n^{2} + 225236714156467975309145922592216596 n + 312521006058227667362209384503767520\right) a{\left(n + 9 \right)}}{787148795263057920 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(24188087414201979103016893216 n^{8} + 2382595542215530937113555228169 n^{7} + 102451921542084385238427320020475 n^{6} + 2511562308736994893572946694428103 n^{5} + 38388860136405720875499954263058869 n^{4} + 374610997605506079866792279759602856 n^{3} + 2279054595719277599420920337011278160 n^{2} + 7903153691170286405488551762824173032 n + 11959929574208601514481995253326563840\right) a{\left(n + 10 \right)}}{1574297590526115840 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} + \frac{\left(165299696605888545860489376208 n^{8} + 290941375475686923437831150483572 n^{7} + 224032740171911840532440283124774660 n^{6} + 98576626037654747326107479582718727267 n^{5} + 27108839090829359725068741327047509291162 n^{4} + 4771142059731790408020350094873300043304473 n^{3} + 524817450000148681260796750639230813064002810 n^{2} + 32987590929964254641891148216791712330806422728 n + 907121466401685765347423528522493305594382371520\right) a{\left(n + 222 \right)}}{83019599500400640 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(295218932780817918986025430843 n^{8} + 31307685677528448301934737506899 n^{7} + 1450629173514814910873282799443167 n^{6} + 38350376103205918285139134219119128 n^{5} + 632631951557875424149355255832742672 n^{4} + 6667400623525035656695403955459529901 n^{3} + 43838121787887325541319513562235723238 n^{2} + 164396741339293667068157331164125753032 n + 269201022019198305180881007494381649120\right) a{\left(n + 11 \right)}}{2361446385789173760 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(1229107909231387595035328177512 n^{8} + 2154566896376307252206638033297172 n^{7} + 1652353933657022721804006850577334566 n^{6} + 724107733820098503082488172298514563519 n^{5} + 198325410603590920414992869684892336374048 n^{4} + 34763905040466491538906499541093619656445173 n^{3} + 3808498589996799526897245519469762303502031034 n^{2} + 238416341733871895411693133884573687715094224216 n + 6529671220255865853882378500332939737125017189440\right) a{\left(n + 221 \right)}}{27673199833466880 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(20616247916404123670725015187978 n^{8} + 2476019238952540401670302166993523 n^{7} + 130208317956430182747880992688868897 n^{6} + 3914639889352553623307041474611425969 n^{5} + 73569516146354021856063386008081083737 n^{4} + 884796288159211154205952046411928539372 n^{3} + 6648623305962294039116063919460459538988 n^{2} + 28534079568103859977351238099463997751136 n + 53541126008522536607866578848895238495680\right) a{\left(n + 13 \right)}}{4048193804210012160 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(36722983799109281194526155030400 n^{8} + 4161346499543074579470596643100556 n^{7} + 206235937493531281419099222507725921 n^{6} + 5837145523003435891089319603485998741 n^{5} + 103173510718433474595605923415425783655 n^{4} + 1165982375337018067740909123586058486699 n^{3} + 8226411401258209231458976403518295384064 n^{2} + 33124965813083800336090288195783304997084 n + 58277717352868988656102595361777440484480\right) a{\left(n + 12 \right)}}{42506034944205127680 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} + \frac{\left(540031912572728763108989935874948 n^{8} + 942795041124067323972046807709389136 n^{7} + 720093070558529988361499843395360929803 n^{6} + 314280428191342727948209516783454088041471 n^{5} + 85727756808050421349982614577327979696625037 n^{4} + 14965834924530237348970545123749558200873580459 n^{3} + 1632885913202754032045762059466194156599960389502 n^{2} + 101804754353105927881602255979998329173897575765204 n + 2776858187847115308982444492548308872821818975730960\right) a{\left(n + 220 \right)}}{747176395503605760 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(1071030318981284683708578788643869 n^{8} + 134824709621932312178306452474340009 n^{7} + 7440972458672875036989391212299195078 n^{6} + 235060863913800067419464260498952142176 n^{5} + 4646988236001461371975580113707030381431 n^{4} + 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228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(13095448112627716145668753653951080 n^{8} + 22769846823158811489835165111919738558 n^{7} + 17321021482374270068307036798924072797351 n^{6} + 7529123499217665074778356212957942492081619 n^{5} + 2045459691674123629127108940781642873272065660 n^{4} + 355641931305081941203788330311061867344193236777 n^{3} + 38646534512113500100118064712254400060290961467909 n^{2} + 2399747991929567151002062221147974984436734063538486 n + 65191998811468152249184400185817317219416552984643800\right) a{\left(n + 219 \right)}}{1494352791007211520 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(84627241346851962956636182069803461 n^{8} + 9893142595923660342710477361285758246 n^{7} + 489541466531610006125792826340118130434 n^{6} + 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\right)}}{2040289677321846128640 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(14230286983860483327227458429628355563660190598430025925783901459323867 n^{8} + 16467607203025413357357899229865719246897668337128865781879467244785018316 n^{7} + 8336569312774967733658500929567668761040904449943215233462362874114224795086 n^{6} + 2411388349096445652209401616607190384380670197368370545720938317268307468014768 n^{5} + 435900111788953502575199118818602950317332117484787803555820504161626195723676323 n^{4} + 50424993775985700150685134484883553326526967831862070446743403662607017247090885524 n^{3} + 3645380892398511105075558427819459797260930520435775886166887716316408487425067235764 n^{2} + 150577198567988954650691845378742365570813286648218902054599864894426101336027909253232 n + 2720883872595965041227377158468310366437460751666603206145057598732528025679780017702400\right) a{\left(n + 146 \right)}}{6120869031965538385920 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(15733704270997072598329185804326620380239733434442452322458324810686535 n^{8} + 15500013022987627510418905897701442690218416253886642712116207196991704660 n^{7} + 6680483118658467195745701457724282640887005850303579313516238529457637694126 n^{6} + 1645288095193615072979550412400701647513182395180277602483891540609255458423560 n^{5} + 253251447933936841677838221976758496630669528176826900668308929669198462571626055 n^{4} + 24948085574376361929896449812692213951784322581391146813102330034276734428339321780 n^{3} + 1536021200000147830849965881813793474410792716579086510276261570438432900583516652484 n^{2} + 54039716865325286949130179025569070043876829195227157241203563067808165943077813632240 n + 831763820192668749435331304863488811950233345743975863255799980136191554879054171813760\right) a{\left(n + 124 \right)}}{6120869031965538385920 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(16983660675154752366611549148373934453464576274570545719635262121872845 n^{8} + 16553666967110099681663195565762958311936855261410366096124255407598455372 n^{7} + 7054700643037358655391237319955692718493836256491237747573541027979693812970 n^{6} + 1716954643590620295636268888350979798437623218130475083082123489670531805765144 n^{5} + 261001470064654434852943095151377999821817257547467094093736542469731294055425005 n^{4} + 25375835898002815232362101566781709966195175406173801530243726838989420843650835628 n^{3} + 1540919316735834122774736317694272261678632026119533655666952005212989169365137369820 n^{2} + 53430802694732360427040733394896419170924485397490544063982994290563607383005473853296 n + 809952146597531999130127455990614810245708686020668498395482680864161380665334435038080\right) a{\left(n + 126 \right)}}{6120869031965538385920 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(17965205853231391666048867118456561231790670725418651863890748321237171 n^{8} + 20214613117800671993156032055034812554692573294537755844774439443787472012 n^{7} + 9946812325165961914002728874638757603201502940791603492729907703853010424710 n^{6} + 2795595631400391401270140731430767140286952154563166596498163651138666392804792 n^{5} + 490859599277231013513405020606827347318317552739487303807015745652174891825868579 n^{4} + 55135955764220123494200551954552913839175278009925814645265282036403506682557712588 n^{3} + 3869093310422255318066801887663573011090911291848295725217094833553184445611541486820 n^{2} + 155082859586999022648889804415558098242560554780676558434655422704831669932397283816368 n + 2718418004048961480585413860955189090396382130311190102243840004276731963517306446590720\right) a{\left(n + 140 \right)}}{2040289677321846128640 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} + \frac{\left(22767755051619632775441902360769309196926058660172986874060890760389151 n^{8} + 25133691255978156689065196408721150232959635552406185848552034504881094956 n^{7} + 12135608755485209275169739988232323602526450646585501350242799714126035879374 n^{6} + 3347493784158772906058783989306178225861560948262899854343040846128672792525304 n^{5} + 576963955395237330814450370332078407213617477749115507078431607210364158361552639 n^{4} + 63627935688826941136274740382246786590723296619972146278895132434696906848925801004 n^{3} + 4384466671436497383069988776752779318775887516291485834792977010924147159826488590036 n^{2} + 172598424473612110764974245980847316424173678893121843346011790132231217558562737935216 n + 2971826046438952031082281985161302877452136360483751047760545439988393537452216671182080\right) a{\left(n + 138 \right)}}{2040289677321846128640 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(26584284975534691828414085243586210036015859888605305777552560973884487 n^{8} + 27790969708003680895110251414395675692377311021026452014167157233481126256 n^{7} + 12703418816774520495505412147958894267302020176732140936966300008093085016038 n^{6} + 3316267674770179296660230812661002365477858541753932855679373870911943717091992 n^{5} + 540751601869242020967103653743203850446510131736879984189345381964860638035677103 n^{4} + 56396685899339596952732409674607264452064486859550901346670077667764242377648978264 n^{3} + 3673704991529935445047084669910966823479173343705526484349091052229504529983237737572 n^{2} + 136652674287892367170414219338717480974965031143171909510039549750681586921463586134048 n + 2222267869465407646096867614763189448817826096452680079285617208972650612625079410600960\right) a{\left(n + 133 \right)}}{3060434515982769192960 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} + \frac{\left(30394894938144620483861963224732455588920728746672562087632606059540477 n^{8} + 30164265783248527179750016667993027819423093229166820845566759987708482204 n^{7} + 13090976184477795619753959684480608962886654186493140712002315585923317561002 n^{6} + 3244986228899276333285009903263259781348662949670902662046556155726768055057880 n^{5} + 502484982592390568916931590973551183265363419155381886910703014660636839447482333 n^{4} + 49772755530391941777572510956917072677186082879243474803318896921554989267741157596 n^{3} + 3079688931842293461280854972199054047333719407739136114456459023602369338588773648508 n^{2} + 108827271619079804019816748283517109313813121566041821453365570079253921018012588568880 n + 1681460393713306722506388299036244610872397287899959684516596088147696939271840884260480\right) a{\left(n + 127 \right)}}{6120869031965538385920 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} - \frac{\left(37575974622149182997425242849481585960375656194930826785684535913342247 n^{8} + 43155627842142500701134834305885279552703023344168064152084754062674443492 n^{7} + 21679387183188978185101361168978376638597739205915103758297288632263593217774 n^{6} + 6221917168789383158826676146007468907219251232653971924427372953969808020481256 n^{5} + 1115805513696694500186180043039098657897850210420999461230747575677588562794962663 n^{4} + 128038642093404719389301477136398475721999043190597212287280802958133116369976485508 n^{3} + 9180855386542699040622672333629278217942850439927849782609776899690356808948373949636 n^{2} + 376095251116602836834361042383741319202826820405878858802952835101959717946150014480624 n + 6739107297614450792342641933262704893634530496601296205911320498387849023846105233125120\right) a{\left(n + 143 \right)}}{6120869031965538385920 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)} + \frac{\left(65586871516857889070788934837188794694712557014012660726358652008317989 n^{8} + 70088708872969399616332922424900613779140762129050241866987806840851097908 n^{7} + 32766668602842460851834915348743504235672458047401174199639907862785926904378 n^{6} + 8752913573889925059028870326924586523734388144196950505608855787975875489428808 n^{5} + 1461255859264475632182774799041228727260750790063362619423088504180058831840693461 n^{4} + 156117700871662137921374547332688324031228273599863782842675979081171457016041040212 n^{3} + 10423877325459703404657770011048883667943035133427439880267946059864136914395294244812 n^{2} + 397684382001455717934684209425429690709574263081127728425289745609542041269701154549552 n + 6637351560365724132788339484367912400803570460819328751326535333358229707178677245284480\right) a{\left(n + 134 \right)}}{6120869031965538385920 \left(n + 224\right) \left(n + 226\right) \left(n + 227\right) \left(n + 228\right) \left(n + 229\right) \left(2 n + 451\right) \left(2 n + 457\right) \left(2 n + 459\right)}, \quad n \geq 229

Specification 1
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/24677/
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[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[6,x]+F[7,x]
F[6,x] = 1+(F[6,x]^3-F[6,x]^2+F[6,x])*x
F[7,x] = F[2,x]+F[8,x]
F[8,x] = F[9,x]
F[9,x] = F[10,x]*F[4,x]
F[10,x] = F[11,x]+F[56,x]
F[11,x] = F[12,x]+F[13,x]
F[12,x] = F[2,x]*F[6,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[4,x]*F[6,x]
F[15,x] = F[16,x]+F[17,x]
F[16,x] = F[11,x]*F[6,x]
F[17,x] = F[18,x]+F[45,x]
F[18,x] = F[19,x]*F[6,x]
F[19,x] = F[20,x]+F[7,x]
F[20,x] = -F[12,x]+F[21,x]
F[21,x] = -F[55,x]+F[22,x]
F[22,x] = 1/F[4,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[26,x]+F[29,x]
F[26,x] = F[2,x]*F[27,x]
F[27,x] = 1/F[4,x]*F[28,x]
F[28,x] = F[2,x]
F[29,x] = F[30,x]
F[30,x] = F[31,x]*F[4,x]
F[31,x] = F[32,x]+F[53,x]
F[32,x] = F[0,x]*F[33,x]
F[33,x] = F[34,x]+F[42,x]
F[34,x] = F[27,x]*F[35,x]
F[35,x] = F[36,x]+F[37,x]
F[36,x] = F[0,x]*F[6,x]
F[37,x] = F[13,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[6,x]^2*F[4,x]*F[41,x]
F[41,x] = F[39,x]+F[6,x]
F[42,x] = F[43,x]+F[44,x]
F[43,x] = F[19,x]*F[27,x]
F[44,x] = F[0,x]*F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[4,x]*F[47,x]
F[47,x] = -F[51,x]+F[48,x]
F[48,x] = 1/F[4,x]*F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[33,x]*F[4,x]
F[51,x] = 1/F[4,x]/F[6,x]*F[52,x]
F[52,x] = F[37,x]
F[53,x] = F[51,x]*F[54,x]
F[54,x] = -F[0,x]+F[27,x]
F[55,x] = F[37,x]+F[45,x]
F[56,x] = F[19,x]+F[45,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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = x F_{6} \left(x \right)^{3}-x F_{6} \left(x \right)^{2}+x F_{6}\! \left(x \right)+1
F_{7}\! \left(x \right) = F_{2}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{56}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{13}\! \left(x \right)
F_{12}\! \left(x \right) = F_{2}\! \left(x \right) F_{6}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right) F_{6}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{17}\! \left(x \right)
F_{16}\! \left(x \right) = F_{11}\! \left(x \right) F_{6}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{45}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{6}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{7}\! \left(x \right)
F_{20}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = -F_{55}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{23}\! \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_{26}\! \left(x \right)+F_{29}\! \left(x \right)
F_{26}\! \left(x \right) = F_{2}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{2}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{53}\! \left(x \right)
F_{32}\! \left(x \right) = F_{0}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{42}\! \left(x \right)
F_{34}\! \left(x \right) = F_{27}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = F_{0}\! \left(x \right) F_{6}\! \left(x \right)
F_{37}\! \left(x \right) = F_{13}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{6} \left(x \right)^{2} F_{4}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{39}\! \left(x \right)+F_{6}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{44}\! \left(x \right)
F_{43}\! \left(x \right) = F_{19}\! \left(x \right) F_{27}\! \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_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = -F_{51}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{51}\! \left(x \right) = \frac{F_{52}\! \left(x \right)}{F_{4}\! \left(x \right) F_{6}\! \left(x \right)}
F_{52}\! \left(x \right) = F_{37}\! \left(x \right)
F_{53}\! \left(x \right) = F_{51}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{27}\! \left(x \right)
F_{55}\! \left(x \right) = F_{37}\! \left(x \right)+F_{45}\! \left(x \right)
F_{56}\! \left(x \right) = F_{19}\! \left(x \right)+F_{45}\! \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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_6(x) + F_7(x))
Eq(F_6(x), x*F_6(x)**3 - x*F_6(x)**2 + x*F_6(x) + 1)
Eq(F_7(x), F_2(x) + F_8(x))
Eq(F_8(x), F_9(x))
Eq(F_9(x), F_10(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_56(x))
Eq(F_11(x), F_12(x) + F_13(x))
Eq(F_12(x), F_2(x)*F_6(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_4(x)*F_6(x))
Eq(F_15(x), F_16(x) + F_17(x))
Eq(F_16(x), F_11(x)*F_6(x))
Eq(F_17(x), F_18(x) + F_45(x))
Eq(F_18(x), F_19(x)*F_6(x))
Eq(F_19(x), F_20(x) + F_7(x))
Eq(F_20(x), -F_12(x) + F_21(x))
Eq(F_21(x), F_22(x) - F_55(x))
Eq(F_22(x), F_23(x)/F_4(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_26(x) + F_29(x))
Eq(F_26(x), F_2(x)*F_27(x))
Eq(F_27(x), F_28(x)/F_4(x))
Eq(F_28(x), F_2(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_31(x)*F_4(x))
Eq(F_31(x), F_32(x) + F_53(x))
Eq(F_32(x), F_0(x)*F_33(x))
Eq(F_33(x), F_34(x) + F_42(x))
Eq(F_34(x), F_27(x)*F_35(x))
Eq(F_35(x), F_36(x) + F_37(x))
Eq(F_36(x), F_0(x)*F_6(x))
Eq(F_37(x), F_13(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_4(x)*F_41(x)*F_6(x)**2)
Eq(F_41(x), F_39(x) + F_6(x))
Eq(F_42(x), F_43(x) + F_44(x))
Eq(F_43(x), F_19(x)*F_27(x))
Eq(F_44(x), F_0(x)*F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_4(x)*F_47(x))
Eq(F_47(x), F_48(x) - F_51(x))
Eq(F_48(x), F_49(x)/F_4(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_33(x)*F_4(x))
Eq(F_51(x), F_52(x)/(F_4(x)*F_6(x)))
Eq(F_52(x), F_37(x))
Eq(F_53(x), F_51(x)*F_54(x))
Eq(F_54(x), -F_0(x) + F_27(x))
Eq(F_55(x), F_37(x) + F_45(x))
Eq(F_56(x), F_19(x) + F_45(x))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"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.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"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": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": 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}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "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, 2, 3], "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": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "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]]}, {"patt": [1, 3, 0, 4, 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, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"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], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"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], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], "requirements": [], "assumptions": []}, {"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.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 1], [2, 1]], [[1, 0]]]}}, "idx": 0}, {"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, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 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, 2, 3], "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": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "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]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 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{"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [1, 0], [3, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 1], [1, 0], [3, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 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], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [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": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [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": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [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": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [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": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[2, 2]]}]], "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": "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"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2]], "symmetry": true}}]}

Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25006/
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[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[6,x]+F[7,x]
F[6,x] = 1+(F[6,x]^3-F[6,x]^2+F[6,x])*x
F[7,x] = F[2,x]+F[8,x]
F[8,x] = F[9,x]
F[9,x] = F[10,x]*F[4,x]
F[10,x] = F[11,x]+F[54,x]
F[11,x] = F[12,x]+F[13,x]
F[12,x] = F[2,x]*F[6,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[4,x]*F[6,x]
F[15,x] = F[16,x]+F[17,x]
F[16,x] = F[11,x]*F[6,x]
F[17,x] = F[18,x]+F[42,x]
F[18,x] = F[19,x]*F[6,x]
F[19,x] = F[20,x]+F[7,x]
F[20,x] = -F[12,x]+F[21,x]
F[21,x] = -F[53,x]+F[22,x]
F[22,x] = 1/F[4,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[26,x]+F[29,x]
F[26,x] = F[2,x]*F[27,x]
F[27,x] = 1/F[4,x]*F[28,x]
F[28,x] = F[2,x]
F[29,x] = F[30,x]
F[30,x] = F[31,x]*F[4,x]
F[31,x] = F[32,x]+F[51,x]
F[32,x] = F[0,x]*F[33,x]
F[33,x] = F[34,x]+F[39,x]
F[34,x] = F[27,x]*F[35,x]
F[35,x] = F[11,x]+F[36,x]
F[36,x] = F[37,x]+F[6,x]
F[37,x] = F[38,x]
F[38,x] = F[6,x]^2*F[36,x]*F[4,x]
F[39,x] = F[40,x]+F[41,x]
F[40,x] = F[19,x]*F[27,x]
F[41,x] = F[0,x]*F[42,x]
F[42,x] = F[43,x]
F[43,x] = F[4,x]*F[44,x]
F[44,x] = -F[48,x]+F[45,x]
F[45,x] = 1/F[4,x]*F[46,x]
F[46,x] = F[47,x]
F[47,x] = F[33,x]*F[4,x]
F[48,x] = 1/F[4,x]/F[6,x]*F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[13,x]+F[37,x]
F[51,x] = F[48,x]*F[52,x]
F[52,x] = -F[0,x]+F[27,x]
F[53,x] = F[42,x]+F[50,x]
F[54,x] = F[19,x]+F[42,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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = x F_{6} \left(x \right)^{3}-x F_{6} \left(x \right)^{2}+x F_{6}\! \left(x \right)+1
F_{7}\! \left(x \right) = F_{2}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{54}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{13}\! \left(x \right)
F_{12}\! \left(x \right) = F_{2}\! \left(x \right) F_{6}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right) F_{6}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{17}\! \left(x \right)
F_{16}\! \left(x \right) = F_{11}\! \left(x \right) F_{6}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{42}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{6}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{7}\! \left(x \right)
F_{20}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = -F_{53}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{23}\! \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_{26}\! \left(x \right)+F_{29}\! \left(x \right)
F_{26}\! \left(x \right) = F_{2}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{2}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{51}\! \left(x \right)
F_{32}\! \left(x \right) = F_{0}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{39}\! \left(x \right)
F_{34}\! \left(x \right) = F_{27}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{11}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{6}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{6} \left(x \right)^{2} F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{41}\! \left(x \right)
F_{40}\! \left(x \right) = F_{19}\! \left(x \right) F_{27}\! \left(x \right)
F_{41}\! \left(x \right) = F_{0}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = -F_{48}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = \frac{F_{46}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{4}\! \left(x \right) F_{6}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{13}\! \left(x \right)+F_{37}\! \left(x \right)
F_{51}\! \left(x \right) = F_{48}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{27}\! \left(x \right)
F_{53}\! \left(x \right) = F_{42}\! \left(x \right)+F_{50}\! \left(x \right)
F_{54}\! \left(x \right) = F_{19}\! \left(x \right)+F_{42}\! \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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_6(x) + F_7(x))
Eq(F_6(x), x*F_6(x)**3 - x*F_6(x)**2 + x*F_6(x) + 1)
Eq(F_7(x), F_2(x) + F_8(x))
Eq(F_8(x), F_9(x))
Eq(F_9(x), F_10(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_54(x))
Eq(F_11(x), F_12(x) + F_13(x))
Eq(F_12(x), F_2(x)*F_6(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_4(x)*F_6(x))
Eq(F_15(x), F_16(x) + F_17(x))
Eq(F_16(x), F_11(x)*F_6(x))
Eq(F_17(x), F_18(x) + F_42(x))
Eq(F_18(x), F_19(x)*F_6(x))
Eq(F_19(x), F_20(x) + F_7(x))
Eq(F_20(x), -F_12(x) + F_21(x))
Eq(F_21(x), F_22(x) - F_53(x))
Eq(F_22(x), F_23(x)/F_4(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_26(x) + F_29(x))
Eq(F_26(x), F_2(x)*F_27(x))
Eq(F_27(x), F_28(x)/F_4(x))
Eq(F_28(x), F_2(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_31(x)*F_4(x))
Eq(F_31(x), F_32(x) + F_51(x))
Eq(F_32(x), F_0(x)*F_33(x))
Eq(F_33(x), F_34(x) + F_39(x))
Eq(F_34(x), F_27(x)*F_35(x))
Eq(F_35(x), F_11(x) + F_36(x))
Eq(F_36(x), F_37(x) + F_6(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_36(x)*F_4(x)*F_6(x)**2)
Eq(F_39(x), F_40(x) + F_41(x))
Eq(F_40(x), F_19(x)*F_27(x))
Eq(F_41(x), F_0(x)*F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_4(x)*F_44(x))
Eq(F_44(x), F_45(x) - F_48(x))
Eq(F_45(x), F_46(x)/F_4(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_33(x)*F_4(x))
Eq(F_48(x), F_49(x)/(F_4(x)*F_6(x)))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_13(x) + F_37(x))
Eq(F_51(x), F_48(x)*F_52(x))
Eq(F_52(x), -F_0(x) + F_27(x))
Eq(F_53(x), F_42(x) + F_50(x))
Eq(F_54(x), F_19(x) + F_42(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, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 3, 0, 4, 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, 2, 3], "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": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "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]]}, {"patt": [1, 3, 0, 4, 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, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"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], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"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], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], "requirements": [], "assumptions": []}, {"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.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 1], [2, 1]], [[1, 0]]]}}, "idx": 0}, {"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, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 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, 2, 3], "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": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "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]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 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0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [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": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [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": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [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": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[2, 2]]}]], "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": "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"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2]], "symmetry": false}}]}

Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25127/
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[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[6,x]+F[7,x]
F[6,x] = 1+(F[6,x]^3-F[6,x]^2+F[6,x])*x
F[7,x] = F[2,x]+F[8,x]
F[8,x] = F[9,x]
F[9,x] = F[10,x]*F[4,x]
F[10,x] = F[11,x]+F[55,x]
F[11,x] = F[12,x]+F[13,x]
F[12,x] = F[2,x]*F[6,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[4,x]*F[6,x]
F[15,x] = F[16,x]+F[17,x]
F[16,x] = F[11,x]*F[6,x]
F[17,x] = F[18,x]+F[44,x]
F[18,x] = F[19,x]*F[6,x]
F[19,x] = F[20,x]+F[7,x]
F[20,x] = -F[12,x]+F[21,x]
F[21,x] = -F[54,x]+F[22,x]
F[22,x] = 1/F[4,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[26,x]+F[29,x]
F[26,x] = F[2,x]*F[27,x]
F[27,x] = 1/F[4,x]*F[28,x]
F[28,x] = F[2,x]
F[29,x] = F[30,x]
F[30,x] = F[31,x]*F[4,x]
F[31,x] = F[32,x]+F[52,x]
F[32,x] = F[0,x]*F[33,x]
F[33,x] = F[34,x]+F[41,x]
F[34,x] = F[27,x]*F[35,x]
F[35,x] = F[36,x]+F[37,x]
F[36,x] = F[0,x]*F[6,x]
F[37,x] = F[13,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[6,x]^2*F[4,x]*F[40,x]
F[40,x] = F[38,x]+F[6,x]
F[41,x] = F[42,x]+F[43,x]
F[42,x] = F[19,x]*F[27,x]
F[43,x] = F[0,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[4,x]*F[46,x]
F[46,x] = -F[50,x]+F[47,x]
F[47,x] = 1/F[4,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[33,x]*F[4,x]
F[50,x] = 1/F[4,x]/F[6,x]*F[51,x]
F[51,x] = F[37,x]
F[52,x] = F[50,x]*F[53,x]
F[53,x] = -F[0,x]+F[27,x]
F[54,x] = F[37,x]+F[44,x]
F[55,x] = F[19,x]+F[44,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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = x F_{6} \left(x \right)^{3}-x F_{6} \left(x \right)^{2}+x F_{6}\! \left(x \right)+1
F_{7}\! \left(x \right) = F_{2}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{55}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{13}\! \left(x \right)
F_{12}\! \left(x \right) = F_{2}\! \left(x \right) F_{6}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right) F_{6}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{17}\! \left(x \right)
F_{16}\! \left(x \right) = F_{11}\! \left(x \right) F_{6}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{44}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{6}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{7}\! \left(x \right)
F_{20}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = -F_{54}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{23}\! \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_{26}\! \left(x \right)+F_{29}\! \left(x \right)
F_{26}\! \left(x \right) = F_{2}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{2}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{52}\! \left(x \right)
F_{32}\! \left(x \right) = F_{0}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{41}\! \left(x \right)
F_{34}\! \left(x \right) = F_{27}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = F_{0}\! \left(x \right) F_{6}\! \left(x \right)
F_{37}\! \left(x \right) = F_{13}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{6} \left(x \right)^{2} F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{38}\! \left(x \right)+F_{6}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{43}\! \left(x \right)
F_{42}\! \left(x \right) = F_{19}\! \left(x \right) F_{27}\! \left(x \right)
F_{43}\! \left(x \right) = F_{0}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{50}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{4}\! \left(x \right) F_{6}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{37}\! \left(x \right)
F_{52}\! \left(x \right) = F_{50}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{27}\! \left(x \right)
F_{54}\! \left(x \right) = F_{37}\! \left(x \right)+F_{44}\! \left(x \right)
F_{55}\! \left(x \right) = F_{19}\! \left(x \right)+F_{44}\! \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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_6(x) + F_7(x))
Eq(F_6(x), x*F_6(x)**3 - x*F_6(x)**2 + x*F_6(x) + 1)
Eq(F_7(x), F_2(x) + F_8(x))
Eq(F_8(x), F_9(x))
Eq(F_9(x), F_10(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_55(x))
Eq(F_11(x), F_12(x) + F_13(x))
Eq(F_12(x), F_2(x)*F_6(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_4(x)*F_6(x))
Eq(F_15(x), F_16(x) + F_17(x))
Eq(F_16(x), F_11(x)*F_6(x))
Eq(F_17(x), F_18(x) + F_44(x))
Eq(F_18(x), F_19(x)*F_6(x))
Eq(F_19(x), F_20(x) + F_7(x))
Eq(F_20(x), -F_12(x) + F_21(x))
Eq(F_21(x), F_22(x) - F_54(x))
Eq(F_22(x), F_23(x)/F_4(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_26(x) + F_29(x))
Eq(F_26(x), F_2(x)*F_27(x))
Eq(F_27(x), F_28(x)/F_4(x))
Eq(F_28(x), F_2(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_31(x)*F_4(x))
Eq(F_31(x), F_32(x) + F_52(x))
Eq(F_32(x), F_0(x)*F_33(x))
Eq(F_33(x), F_34(x) + F_41(x))
Eq(F_34(x), F_27(x)*F_35(x))
Eq(F_35(x), F_36(x) + F_37(x))
Eq(F_36(x), F_0(x)*F_6(x))
Eq(F_37(x), F_13(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_4(x)*F_40(x)*F_6(x)**2)
Eq(F_40(x), F_38(x) + F_6(x))
Eq(F_41(x), F_42(x) + F_43(x))
Eq(F_42(x), F_19(x)*F_27(x))
Eq(F_43(x), F_0(x)*F_44(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_4(x)*F_46(x))
Eq(F_46(x), F_47(x) - F_50(x))
Eq(F_47(x), F_48(x)/F_4(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_33(x)*F_4(x))
Eq(F_50(x), F_51(x)/(F_4(x)*F_6(x)))
Eq(F_51(x), F_37(x))
Eq(F_52(x), F_50(x)*F_53(x))
Eq(F_53(x), -F_0(x) + F_27(x))
Eq(F_54(x), F_37(x) + F_44(x))
Eq(F_55(x), F_19(x) + F_44(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, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 3, 0, 4, 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, 2, 3], "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": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "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]]}, {"patt": [1, 3, 0, 4, 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, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"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], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"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], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], "requirements": [], "assumptions": []}, {"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.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 1], [2, 1]], [[1, 0]]]}}, "idx": 0}, {"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, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 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, 2, 3], "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": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "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]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 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{"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 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], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [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": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [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": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [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": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [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": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[2, 2]]}]], "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": "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"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2]], "symmetry": false}}]}

Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25200/
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[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[6,x]+F[7,x]
F[6,x] = 1+(F[6,x]^3-F[6,x]^2+F[6,x])*x
F[7,x] = F[2,x]+F[8,x]
F[8,x] = F[9,x]
F[9,x] = F[10,x]*F[4,x]
F[10,x] = F[11,x]+F[54,x]
F[11,x] = F[12,x]+F[13,x]
F[12,x] = F[2,x]*F[6,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[4,x]*F[6,x]
F[15,x] = F[16,x]+F[17,x]
F[16,x] = F[11,x]*F[6,x]
F[17,x] = F[18,x]+F[42,x]
F[18,x] = F[19,x]*F[6,x]
F[19,x] = F[20,x]+F[7,x]
F[20,x] = -F[12,x]+F[21,x]
F[21,x] = -F[53,x]+F[22,x]
F[22,x] = 1/F[4,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[26,x]+F[29,x]
F[26,x] = F[2,x]*F[27,x]
F[27,x] = 1/F[4,x]*F[28,x]
F[28,x] = F[2,x]
F[29,x] = F[30,x]
F[30,x] = F[31,x]*F[4,x]
F[31,x] = F[32,x]+F[51,x]
F[32,x] = F[0,x]*F[33,x]
F[33,x] = F[34,x]+F[39,x]
F[34,x] = F[27,x]*F[35,x]
F[35,x] = F[11,x]+F[36,x]
F[36,x] = F[37,x]+F[6,x]
F[37,x] = F[38,x]
F[38,x] = F[6,x]^2*F[36,x]*F[4,x]
F[39,x] = F[40,x]+F[41,x]
F[40,x] = F[19,x]*F[27,x]
F[41,x] = F[0,x]*F[42,x]
F[42,x] = F[43,x]
F[43,x] = F[4,x]*F[44,x]
F[44,x] = -F[48,x]+F[45,x]
F[45,x] = 1/F[4,x]*F[46,x]
F[46,x] = F[47,x]
F[47,x] = F[33,x]*F[4,x]
F[48,x] = 1/F[4,x]/F[6,x]*F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[13,x]+F[37,x]
F[51,x] = F[48,x]*F[52,x]
F[52,x] = -F[0,x]+F[27,x]
F[53,x] = F[42,x]+F[50,x]
F[54,x] = F[19,x]+F[42,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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = x F_{6} \left(x \right)^{3}-x F_{6} \left(x \right)^{2}+x F_{6}\! \left(x \right)+1
F_{7}\! \left(x \right) = F_{2}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{54}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{13}\! \left(x \right)
F_{12}\! \left(x \right) = F_{2}\! \left(x \right) F_{6}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right) F_{6}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{17}\! \left(x \right)
F_{16}\! \left(x \right) = F_{11}\! \left(x \right) F_{6}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{42}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{6}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{7}\! \left(x \right)
F_{20}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = -F_{53}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{23}\! \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_{26}\! \left(x \right)+F_{29}\! \left(x \right)
F_{26}\! \left(x \right) = F_{2}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{2}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{51}\! \left(x \right)
F_{32}\! \left(x \right) = F_{0}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{39}\! \left(x \right)
F_{34}\! \left(x \right) = F_{27}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{11}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{6}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{6} \left(x \right)^{2} F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{41}\! \left(x \right)
F_{40}\! \left(x \right) = F_{19}\! \left(x \right) F_{27}\! \left(x \right)
F_{41}\! \left(x \right) = F_{0}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = -F_{48}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = \frac{F_{46}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{4}\! \left(x \right) F_{6}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{13}\! \left(x \right)+F_{37}\! \left(x \right)
F_{51}\! \left(x \right) = F_{48}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{27}\! \left(x \right)
F_{53}\! \left(x \right) = F_{42}\! \left(x \right)+F_{50}\! \left(x \right)
F_{54}\! \left(x \right) = F_{19}\! \left(x \right)+F_{42}\! \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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_6(x) + F_7(x))
Eq(F_6(x), x*F_6(x)**3 - x*F_6(x)**2 + x*F_6(x) + 1)
Eq(F_7(x), F_2(x) + F_8(x))
Eq(F_8(x), F_9(x))
Eq(F_9(x), F_10(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_54(x))
Eq(F_11(x), F_12(x) + F_13(x))
Eq(F_12(x), F_2(x)*F_6(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_4(x)*F_6(x))
Eq(F_15(x), F_16(x) + F_17(x))
Eq(F_16(x), F_11(x)*F_6(x))
Eq(F_17(x), F_18(x) + F_42(x))
Eq(F_18(x), F_19(x)*F_6(x))
Eq(F_19(x), F_20(x) + F_7(x))
Eq(F_20(x), -F_12(x) + F_21(x))
Eq(F_21(x), F_22(x) - F_53(x))
Eq(F_22(x), F_23(x)/F_4(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_26(x) + F_29(x))
Eq(F_26(x), F_2(x)*F_27(x))
Eq(F_27(x), F_28(x)/F_4(x))
Eq(F_28(x), F_2(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_31(x)*F_4(x))
Eq(F_31(x), F_32(x) + F_51(x))
Eq(F_32(x), F_0(x)*F_33(x))
Eq(F_33(x), F_34(x) + F_39(x))
Eq(F_34(x), F_27(x)*F_35(x))
Eq(F_35(x), F_11(x) + F_36(x))
Eq(F_36(x), F_37(x) + F_6(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_36(x)*F_4(x)*F_6(x)**2)
Eq(F_39(x), F_40(x) + F_41(x))
Eq(F_40(x), F_19(x)*F_27(x))
Eq(F_41(x), F_0(x)*F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_4(x)*F_44(x))
Eq(F_44(x), F_45(x) - F_48(x))
Eq(F_45(x), F_46(x)/F_4(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_33(x)*F_4(x))
Eq(F_48(x), F_49(x)/(F_4(x)*F_6(x)))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_13(x) + F_37(x))
Eq(F_51(x), F_48(x)*F_52(x))
Eq(F_52(x), -F_0(x) + F_27(x))
Eq(F_53(x), F_42(x) + F_50(x))
Eq(F_54(x), F_19(x) + F_42(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, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 3, 0, 4, 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, 2, 3], "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": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "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]]}, {"patt": [1, 3, 0, 4, 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, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"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], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"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], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 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"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.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 1], [2, 1]], [[1, 0]]]}}, "idx": 0}, {"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, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 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, 2, 3], "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": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "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]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 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0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [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": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [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": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [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": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[2, 2]]}]], "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": "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"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2]], "symmetry": false}}]}

Specification 5
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25359/
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[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[6,x]+F[7,x]
F[6,x] = 1+(F[6,x]^3-F[6,x]^2+F[6,x])*x
F[7,x] = F[2,x]+F[8,x]
F[8,x] = F[9,x]
F[9,x] = F[10,x]*F[4,x]
F[10,x] = F[11,x]+F[55,x]
F[11,x] = F[12,x]+F[13,x]
F[12,x] = F[2,x]*F[6,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[4,x]*F[6,x]
F[15,x] = F[16,x]+F[17,x]
F[16,x] = F[11,x]*F[6,x]
F[17,x] = F[18,x]+F[44,x]
F[18,x] = F[19,x]*F[6,x]
F[19,x] = F[20,x]+F[7,x]
F[20,x] = -F[12,x]+F[21,x]
F[21,x] = -F[54,x]+F[22,x]
F[22,x] = 1/F[4,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[26,x]+F[29,x]
F[26,x] = F[2,x]*F[27,x]
F[27,x] = 1/F[4,x]*F[28,x]
F[28,x] = F[2,x]
F[29,x] = F[30,x]
F[30,x] = F[31,x]*F[4,x]
F[31,x] = F[32,x]+F[52,x]
F[32,x] = F[0,x]*F[33,x]
F[33,x] = F[34,x]+F[41,x]
F[34,x] = F[27,x]*F[35,x]
F[35,x] = F[36,x]+F[37,x]
F[36,x] = F[0,x]*F[6,x]
F[37,x] = F[13,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[6,x]^2*F[4,x]*F[40,x]
F[40,x] = F[38,x]+F[6,x]
F[41,x] = F[42,x]+F[43,x]
F[42,x] = F[19,x]*F[27,x]
F[43,x] = F[0,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[4,x]*F[46,x]
F[46,x] = -F[50,x]+F[47,x]
F[47,x] = 1/F[4,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[33,x]*F[4,x]
F[50,x] = 1/F[4,x]/F[6,x]*F[51,x]
F[51,x] = F[37,x]
F[52,x] = F[50,x]*F[53,x]
F[53,x] = -F[0,x]+F[27,x]
F[54,x] = F[37,x]+F[44,x]
F[55,x] = F[19,x]+F[44,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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = x F_{6} \left(x \right)^{3}-x F_{6} \left(x \right)^{2}+x F_{6}\! \left(x \right)+1
F_{7}\! \left(x \right) = F_{2}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{55}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{13}\! \left(x \right)
F_{12}\! \left(x \right) = F_{2}\! \left(x \right) F_{6}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right) F_{6}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{17}\! \left(x \right)
F_{16}\! \left(x \right) = F_{11}\! \left(x \right) F_{6}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{44}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{6}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{7}\! \left(x \right)
F_{20}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = -F_{54}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{23}\! \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_{26}\! \left(x \right)+F_{29}\! \left(x \right)
F_{26}\! \left(x \right) = F_{2}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{2}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{52}\! \left(x \right)
F_{32}\! \left(x \right) = F_{0}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{41}\! \left(x \right)
F_{34}\! \left(x \right) = F_{27}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = F_{0}\! \left(x \right) F_{6}\! \left(x \right)
F_{37}\! \left(x \right) = F_{13}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{6} \left(x \right)^{2} F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{38}\! \left(x \right)+F_{6}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{43}\! \left(x \right)
F_{42}\! \left(x \right) = F_{19}\! \left(x \right) F_{27}\! \left(x \right)
F_{43}\! \left(x \right) = F_{0}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{50}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{4}\! \left(x \right) F_{6}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{37}\! \left(x \right)
F_{52}\! \left(x \right) = F_{50}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{27}\! \left(x \right)
F_{54}\! \left(x \right) = F_{37}\! \left(x \right)+F_{44}\! \left(x \right)
F_{55}\! \left(x \right) = F_{19}\! \left(x \right)+F_{44}\! \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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_6(x) + F_7(x))
Eq(F_6(x), x*F_6(x)**3 - x*F_6(x)**2 + x*F_6(x) + 1)
Eq(F_7(x), F_2(x) + F_8(x))
Eq(F_8(x), F_9(x))
Eq(F_9(x), F_10(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_55(x))
Eq(F_11(x), F_12(x) + F_13(x))
Eq(F_12(x), F_2(x)*F_6(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_4(x)*F_6(x))
Eq(F_15(x), F_16(x) + F_17(x))
Eq(F_16(x), F_11(x)*F_6(x))
Eq(F_17(x), F_18(x) + F_44(x))
Eq(F_18(x), F_19(x)*F_6(x))
Eq(F_19(x), F_20(x) + F_7(x))
Eq(F_20(x), -F_12(x) + F_21(x))
Eq(F_21(x), F_22(x) - F_54(x))
Eq(F_22(x), F_23(x)/F_4(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_26(x) + F_29(x))
Eq(F_26(x), F_2(x)*F_27(x))
Eq(F_27(x), F_28(x)/F_4(x))
Eq(F_28(x), F_2(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_31(x)*F_4(x))
Eq(F_31(x), F_32(x) + F_52(x))
Eq(F_32(x), F_0(x)*F_33(x))
Eq(F_33(x), F_34(x) + F_41(x))
Eq(F_34(x), F_27(x)*F_35(x))
Eq(F_35(x), F_36(x) + F_37(x))
Eq(F_36(x), F_0(x)*F_6(x))
Eq(F_37(x), F_13(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_4(x)*F_40(x)*F_6(x)**2)
Eq(F_40(x), F_38(x) + F_6(x))
Eq(F_41(x), F_42(x) + F_43(x))
Eq(F_42(x), F_19(x)*F_27(x))
Eq(F_43(x), F_0(x)*F_44(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_4(x)*F_46(x))
Eq(F_46(x), F_47(x) - F_50(x))
Eq(F_47(x), F_48(x)/F_4(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_33(x)*F_4(x))
Eq(F_50(x), F_51(x)/(F_4(x)*F_6(x)))
Eq(F_51(x), F_37(x))
Eq(F_52(x), F_50(x)*F_53(x))
Eq(F_53(x), -F_0(x) + F_27(x))
Eq(F_54(x), F_37(x) + F_44(x))
Eq(F_55(x), F_19(x) + F_44(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, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [1, 3, 0, 4, 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, 2, 3], "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": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "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]]}, {"patt": [1, 3, 0, 4, 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, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"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], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"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], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], "requirements": [], "assumptions": []}, {"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.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 1], [2, 1]], [[1, 0]]]}}, "idx": 0}, {"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, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 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, 2, 3], "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": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "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]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 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