01342_01423_01432_02341_02413_02431_03412_03421_10342_10423_10432
Counting sequence:
1, 1, 2, 6, 24, 109, 527, 2651, 13722, 72599, 390840, 2134152, 11791460, 65800151, 370320394, 2099523751, 11979868741, 68744714334, 396466427341, 2296790216854, 13359406955245, 77989387491127, 456794701992937, 2683599419586272, 15809392256610621, 93371993212349838, 552759784817589174, 3279431602615205345, 19495538137352113600, 116114281590001668243, 692779745366901449978, 4140135418041075187158, 24779873157657253084662, 148527958042843030565835, 891466389805782543361432, 5357418717366177682497425, 32235106761538056569834244, 194176700357520288601133166, 1170936745729952479642367472, 7068282906650804566421005929, 42708690892216543253514890655, 258297237327726318807215043653, 1563526445283658135091514699695, 9472286360805181222767768748779, 57431729650030263720733071148131, 348482479272756665394501601126571, 2116057557779756020555652009076355, 12858132993142169888153681185311825, 78184298091986606488754284869647102, 475707968334126894205136775101080859, 2896205347493972626510683586141316317, 17643135234225856525233491221872393608, 107539922627709776980524392731849452655, 655845954354297212859189549044745071322, 4001872808954438111514874835787740442208, 24431248585536175628206771084249261477611, 149224821525160453239699955206390468631526, 911889041678755430069709297885335364565923, 5574954620937182038792029158353455340295058, 34098269500328542999859108868564930927210820, 208645293834760515541747924706703069728366882, 1277214986201848322627230766480040349553582753, 7821549136958722033475619086654075910646968553, 47916974539782444823835778750168399683626848483, 293662557910844268793514716970186942162857267900, 1800384747136689883315850299833577363175104445437, 11041672018527750765415069703337675427493462408976, 67741148681715174593008140534965692718045443880686, 415732613166860030744669985031110290691097223624978, 2552203366178967972901634459279070585728340600137991, 15672998837130930958957470502048091759942730749573681, 96276598071407914083891152672734612934733496878094451, 591585484985003478225285183790175395338020920721005689, 3636125813667240194766892634005279632247037342233304175, 22355353173761239823057769850601163013709936907528097794, 137480837270766506935169313348393519539958525370680539089, 845702642371478401289408527735541587814435122728303124116, 5203614329827953728137915872174726587626688694436755811548, 32025913939415696773871638802685751354706126229244380386791, 197153374284517856653830009924678160688982819951444899474027, 1213977072320050895939202386691021188662668275285001882699844, 7476834688320890618580494501799423761706581963084214900921618, 46059967424321077937152110392928465219670289196817254983077788, 283808662992566477555034286400319166492381997901088228079988985, 1749127819130667856772548415463055274968862372408907009239172962, 10782242878956309375002907276766289912430206389932464911827965577, 66479263757414231094327324863613353356147512642227057216490709721, 409968752334807662864610412142493463807992203005769428905901969562, 2528720233019768161705248242185300153472083338913931812616424418338, 15600350568673677049987360077536102380628774968403621380459961295506, 96260833681184566082998453965426744889259262941070411779843224828223, 594079773829660204243305710084305919660035039897564887707843080757838, 3667060382236229045013699880277736794626590783786965953344123837151869, 22639551462566064952845305148979008270061808330553826327418315771542021, 139795247612385075914686743513380175966772202687383068011223743679948724, 863356673893366296477286620250196406887009971941791772285813786492199042, 5332855518122763461374017554372972794657368437920678224464697306056750274, 32945767327902749841245934812383620764561245421072195128102997221902597827, 203567405862743071250073526000848219705943749155808704927394026917515022031, 1258010513638162530395289056761641924256987975199176295675854053679689631649, 7775464828066597301118832240676376290418920945527939180352940455862061917007
Implicit equation for the generating function in Maple syntax:
8*x*(x-1)^2*F(x)^4-2*x*(x-1)*(5*x-9)*F(x)^3+(5*x^3-19*x^2+18*x-2)*F(x)^2+(-x^3+4*x^2-7*x+3)*F(x)-1 = 0
Implicit equation for the generating function in latex syntax:
8 x \left(x -1\right)^{2} F \! \left(x \right)^{4}-2 x \left(x -1\right) \left(5 x -9\right) F \! \left(x \right)^{3}+\left(5 x^{3}-19 x^{2}+18 x -2\right) F \! \left(x \right)^{2}+\left(-x^{3}+4 x^{2}-7 x +3\right) F \! \left(x \right)-1 = 0
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 109
a(6) = 527
a(7) = 2651
a(8) = 13722
a(9) = 72599
a(10) = 390840
a(11) = 2134152
a(12) = 11791460
a(13) = 65800151
a(14) = 370320394
a(15) = 2099523751
a(16) = 11979868741
a(17) = 68744714334
a(18) = 396466427341
a(19) = 2296790216854
a(20) = 13359406955245
a(21) = 77989387491127
a(22) = 456794701992937
a(23) = 2683599419586272
a(24) = 15809392256610621
a(25) = 93371993212349838
a(26) = 552759784817589174
a(27) = 3279431602615205345
a(28) = 19495538137352113600
a(29) = 116114281590001668243
a(30) = 692779745366901449978
a(31) = 4140135418041075187158
a(32) = 24779873157657253084662
a(n+33) = 1/26112*(5453129*n^3+58746030*n^2+212610403*n+256416318)/(n+33)/(n+32)/(2*n+67)*a(n+3)-1/26112*(46562725*n^3+641128209*n^2+2957288774*n+4552192776)/(n+33)/(n+32)/(2*n+67)*a(n+4)+1/26112*(326589125*n^3+5476297116*n^2+30608587741*n+56958242694)/(n+33)/(n+32)/(2*n+67)*a(n+5)-1/26112*(1871737283*n^3+36759607065*n^2+239903815120*n+520277329572)/(n+33)/(n+32)/(2*n+67)*a(n+6)+1/26112*(8566095253*n^3+191571077352*n^2+1421787323753*n+3502746080298)/(n+33)/(n+32)/(2*n+67)*a(n+7)-1/26112*(30579736123*n^3+763792246539*n^2+6326243040410*n+17378509264704)/(n+33)/(n+32)/(2*n+67)*a(n+8)+1/26112*(83633404261*n^3+2297717916618*n^2+20912257056503*n+63041671597458)/(n+33)/(n+32)/(2*n+67)*a(n+9)-1/26112*(171341752999*n^3+5096234779749*n^2+50099115647888*n+162644214824580)/(n+33)/(n+32)/(2*n+67)*a(n+10)+1/8704*(83171698037*n^3+2610363904468*n^2+26880564100817*n+90484486516790)/(n+33)/(n+32)/(2*n+67)*a(n+11)-1/13056*(105698513102*n^3+3184497191289*n^2+29708226424000*n+80443208898264)/(n+33)/(n+32)/(2*n+67)*a(n+12)-1561/26112*n*(n+1)*(n+2)/(n+33)/(n+32)/(2*n+67)*a(n)+1/26112*(33707*n+82869)*(n+2)*(n+1)/(n+33)/(n+32)/(2*n+67)*a(n+1)-1/13056*(n+2)*(249923*n^2+1479200*n+2261154)/(n+33)/(n+32)/(2*n+67)*a(n+2)-1/6528*(13985498639*n^3+1193862380010*n^2+24802348571488*n+151497176604645)/(n+33)/(n+32)/(2*n+67)*a(n+13)+1/8704*(188876689495*n^3+9323009650707*n^2+151513812321192*n+812342000243852)/(n+33)/(n+32)/(2*n+67)*a(n+14)-1/13056*(589934531224*n^3+29253725282169*n^2+482013418253171*n+2639450626523388)/(n+33)/(n+32)/(2*n+67)*a(n+15)+1/26112*(1660557625301*n^3+85488426467451*n^2+1465337592325486*n+8362612214475696)/(n+33)/(n+32)/(2*n+67)*a(n+16)-3/8704*(202662656877*n^3+10904180956320*n^2+195487480494185*n+1167717949286726)/(n+33)/(n+32)/(2*n+67)*a(n+17)+1/13056*(825028569164*n^3+46436274419793*n^2+871220965626172*n+5448401732037924)/(n+33)/(n+32)/(2*n+67)*a(n+18)-1/8704*(423564009957*n^3+24925362196102*n^2+489080027186287*n+3199812496039262)/(n+33)/(n+32)/(2*n+67)*a(n+19)+1/4352*(142889027964*n^3+8786254251751*n^2+180200944684872*n+1232685281770184)/(n+33)/(n+32)/(2*n+67)*a(n+20)-1/13056*(260903696114*n^3+16759586252313*n^2+359193265112989*n+2568451614673362)/(n+33)/(n+32)/(2*n+67)*a(n+21)+1/26112*(293864113213*n^3+19716936815961*n^2+441483826468352*n+3298912238615220)/(n+33)/(n+32)/(2*n+67)*a(n+22)-1/13056*(77214909596*n^3+5408903662425*n^2+126451405573477*n+986602925993142)/(n+33)/(n+32)/(2*n+67)*a(n+23)+1/13056*(37328938249*n^3+2727679754997*n^2+66508831297022*n+541128281320896)/(n+33)/(n+32)/(2*n+67)*a(n+24)-1/13056*(16314123629*n^3+1241612117205*n^2+31521460376008*n+266944498898376)/(n+33)/(n+32)/(2*n+67)*a(n+25)+1/2176*(1081658959*n^3+85500599644*n^2+2253613076055*n+19806949536878)/(n+33)/(n+32)/(2*n+67)*a(n+26)-1/6528*(1205464037*n^3+98592336531*n^2+2687987234320*n+24428883515748)/(n+33)/(n+32)/(2*n+67)*a(n+27)+1/3264*(207146209*n^3+17483553684*n^2+491814148073*n+4610922749772)/(n+33)/(n+32)/(2*n+67)*a(n+28)-1/3264*(60914161*n^3+5303314029*n^2+153874592564*n+1487900593428)/(n+33)/(n+32)/(2*n+67)*a(n+29)+1/272*(1139267*n^3+102343929*n^2+3063985994*n+30570119888)/(n+33)/(n+32)/(2*n+67)*a(n+30)-1/544*(344695*n^3+31944843*n^2+986645662*n+10155812224)/(n+33)/(n+32)/(2*n+67)*a(n+31)+1/136*(7475*n^2+475033*n+7543108)/(2*n+67)/(n+33)*a(n+32), n >= 33
Recurrence in latex format:
a \! \left(0\right) = 1
a \! \left(1\right) = 1
a \! \left(2\right) = 2
a \! \left(3\right) = 6
a \! \left(4\right) = 24
a \! \left(5\right) = 109
a \! \left(6\right) = 527
a \! \left(7\right) = 2651
a \! \left(8\right) = 13722
a \! \left(9\right) = 72599
a \! \left(10\right) = 390840
a \! \left(11\right) = 2134152
a \! \left(12\right) = 11791460
a \! \left(13\right) = 65800151
a \! \left(14\right) = 370320394
a \! \left(15\right) = 2099523751
a \! \left(16\right) = 11979868741
a \! \left(17\right) = 68744714334
a \! \left(18\right) = 396466427341
a \! \left(19\right) = 2296790216854
a \! \left(20\right) = 13359406955245
a \! \left(21\right) = 77989387491127
a \! \left(22\right) = 456794701992937
a \! \left(23\right) = 2683599419586272
a \! \left(24\right) = 15809392256610621
a \! \left(25\right) = 93371993212349838
a \! \left(26\right) = 552759784817589174
a \! \left(27\right) = 3279431602615205345
a \! \left(28\right) = 19495538137352113600
a \! \left(29\right) = 116114281590001668243
a \! \left(30\right) = 692779745366901449978
a \! \left(31\right) = 4140135418041075187158
a \! \left(32\right) = 24779873157657253084662
a \! \left(n +33\right) = \frac{\left(5453129 n^{3}+58746030 n^{2}+212610403 n +256416318\right) a \! \left(n +3\right)}{26112 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{\left(46562725 n^{3}+641128209 n^{2}+2957288774 n +4552192776\right) a \! \left(n +4\right)}{26112 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}+\frac{\left(326589125 n^{3}+5476297116 n^{2}+30608587741 n +56958242694\right) a \! \left(n +5\right)}{26112 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{\left(1871737283 n^{3}+36759607065 n^{2}+239903815120 n +520277329572\right) a \! \left(n +6\right)}{26112 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}+\frac{\left(8566095253 n^{3}+191571077352 n^{2}+1421787323753 n +3502746080298\right) a \! \left(n +7\right)}{26112 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{\left(30579736123 n^{3}+763792246539 n^{2}+6326243040410 n +17378509264704\right) a \! \left(n +8\right)}{26112 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}+\frac{\left(83633404261 n^{3}+2297717916618 n^{2}+20912257056503 n +63041671597458\right) a \! \left(n +9\right)}{26112 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{\left(171341752999 n^{3}+5096234779749 n^{2}+50099115647888 n +162644214824580\right) a \! \left(n +10\right)}{26112 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}+\frac{\left(83171698037 n^{3}+2610363904468 n^{2}+26880564100817 n +90484486516790\right) a \! \left(n +11\right)}{8704 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{\left(105698513102 n^{3}+3184497191289 n^{2}+29708226424000 n +80443208898264\right) a \! \left(n +12\right)}{13056 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{1561 n \left(n +1\right) \left(n +2\right) a \! \left(n \right)}{26112 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}+\frac{\left(33707 n +82869\right) \left(n +2\right) \left(n +1\right) a \! \left(n +1\right)}{26112 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{\left(n +2\right) \left(249923 n^{2}+1479200 n +2261154\right) a \! \left(n +2\right)}{13056 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{\left(13985498639 n^{3}+1193862380010 n^{2}+24802348571488 n +151497176604645\right) a \! \left(n +13\right)}{6528 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}+\frac{\left(188876689495 n^{3}+9323009650707 n^{2}+151513812321192 n +812342000243852\right) a \! \left(n +14\right)}{8704 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{\left(589934531224 n^{3}+29253725282169 n^{2}+482013418253171 n +2639450626523388\right) a \! \left(n +15\right)}{13056 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}+\frac{\left(1660557625301 n^{3}+85488426467451 n^{2}+1465337592325486 n +8362612214475696\right) a \! \left(n +16\right)}{26112 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{3 \left(202662656877 n^{3}+10904180956320 n^{2}+195487480494185 n +1167717949286726\right) a \! \left(n +17\right)}{8704 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}+\frac{\left(825028569164 n^{3}+46436274419793 n^{2}+871220965626172 n +5448401732037924\right) a \! \left(n +18\right)}{13056 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{\left(423564009957 n^{3}+24925362196102 n^{2}+489080027186287 n +3199812496039262\right) a \! \left(n +19\right)}{8704 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}+\frac{\left(142889027964 n^{3}+8786254251751 n^{2}+180200944684872 n +1232685281770184\right) a \! \left(n +20\right)}{4352 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{\left(260903696114 n^{3}+16759586252313 n^{2}+359193265112989 n +2568451614673362\right) a \! \left(n +21\right)}{13056 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}+\frac{\left(293864113213 n^{3}+19716936815961 n^{2}+441483826468352 n +3298912238615220\right) a \! \left(n +22\right)}{26112 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{\left(77214909596 n^{3}+5408903662425 n^{2}+126451405573477 n +986602925993142\right) a \! \left(n +23\right)}{13056 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}+\frac{\left(37328938249 n^{3}+2727679754997 n^{2}+66508831297022 n +541128281320896\right) a \! \left(n +24\right)}{13056 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{\left(16314123629 n^{3}+1241612117205 n^{2}+31521460376008 n +266944498898376\right) a \! \left(n +25\right)}{13056 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}+\frac{\left(1081658959 n^{3}+85500599644 n^{2}+2253613076055 n +19806949536878\right) a \! \left(n +26\right)}{2176 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{\left(1205464037 n^{3}+98592336531 n^{2}+2687987234320 n +24428883515748\right) a \! \left(n +27\right)}{6528 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}+\frac{\left(207146209 n^{3}+17483553684 n^{2}+491814148073 n +4610922749772\right) a \! \left(n +28\right)}{3264 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{\left(60914161 n^{3}+5303314029 n^{2}+153874592564 n +1487900593428\right) a \! \left(n +29\right)}{3264 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}+\frac{\left(1139267 n^{3}+102343929 n^{2}+3063985994 n +30570119888\right) a \! \left(n +30\right)}{272 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}-\frac{\left(344695 n^{3}+31944843 n^{2}+986645662 n +10155812224\right) a \! \left(n +31\right)}{544 \left(n +33\right) \left(n +32\right) \left(2 n +67\right)}+\frac{\left(7475 n^{2}+475033 n +7543108\right) a \! \left(n +32\right)}{136 \left(2 n +67\right) \left(n +33\right)}, \quad n \geq 33
Specification 1
Strategy pack name: point_placements_tracked_fusion
Tree: http://permpal.com/tree/24239/
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[11,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[11,x]*F[7,x]
F[7,x] = F[12,x]+F[8,x]
F[8,x] = F[0,x]*F[9,x]
F[9,x] = 1/F[11,x]*F[10,x]
F[10,x] = F[2,x]
F[11,x] = x
F[12,x] = F[13,x]+F[44,x]
F[13,x] = F[14,x]
F[14,x] = F[11,x]*F[15,x]*F[41,x]
F[15,x] = F[0,x]+F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[11,x]*F[18,x]*F[43,x]
F[18,x] = F[0,x]+F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[11,x]*F[21,x]
F[21,x] = F[22,x]+F[24,x]
F[22,x] = 1/F[11,x]*F[23,x]
F[23,x] = F[2,x]
F[24,x] = F[25,x]
F[25,x] = F[11,x]*F[26,x]
F[26,x] = F[21,x]+F[27,x]
F[27,x] = F[28,x]
F[28,x] = F[11,x]*F[29,x]
F[29,x] = 1/F[0,x]*F[30,x]
F[30,x] = -F[38,x]+F[31,x]
F[31,x] = 1/F[11,x]*F[32,x]
F[32,x] = F[33,x]
F[33,x] = -F[37,x]+F[34,x]
F[34,x] = 1/F[11,x]*F[35,x]
F[35,x] = F[36,x]
F[36,x] = -F[0,x]+F[22,x]
F[37,x] = F[0,x]*F[22,x]
F[38,x] = F[26,x]*F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[11,x]*F[41,x]
F[41,x] = 1/F[11,x]*F[42,x]
F[42,x] = F[5,x]
F[43,x] = F[0,x]+F[39,x]
F[44,x] = F[45,x]
F[45,x] = F[11,x]*F[4,x]*F[46,x]
F[46,x] = 1/F[11,x]*F[47,x]
F[47,x] = F[48,x]
F[48,x] = -F[139,x]+F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[11,x]*F[51,x]
F[51,x] = 1/F[11,x]*F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[54,x]+F[72,x]
F[54,x] = F[16,x]+F[55,x]
F[55,x] = F[56,x]
F[56,x] = F[11,x]^2*F[15,x]*F[57,x]
F[57,x] = F[58,x]+F[64,x]
F[58,x] = F[1,x]+F[59,x]
F[59,x] = F[60,x]
F[60,x] = F[11,x]*F[61,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[1,x]+F[11,x]
F[63,x] = F[64,x]+F[67,x]
F[64,x] = F[65,x]
F[65,x] = F[11,x]*F[66,x]
F[66,x] = F[1,x]+F[64,x]
F[67,x] = F[68,x]+F[69,x]+F[71,x]
F[68,x] = 0
F[69,x] = F[11,x]*F[70,x]
F[70,x] = F[11,x]+F[67,x]
F[71,x] = F[11,x]*F[64,x]
F[72,x] = F[73,x]
F[73,x] = F[11,x]^2*F[74,x]*F[76,x]
F[74,x] = 1/F[11,x]^2/F[66,x]*F[75,x]
F[75,x] = F[55,x]
F[76,x] = F[77,x]+F[95,x]
F[77,x] = F[62,x]+F[78,x]
F[78,x] = F[79,x]+F[86,x]
F[79,x] = F[80,x]
F[80,x] = F[11,x]*F[81,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[1,x]+F[79,x]
F[83,x] = F[11,x]+F[84,x]
F[84,x] = F[85,x]
F[85,x] = F[11,x]*F[79,x]
F[86,x] = F[87,x]
F[87,x] = F[11,x]*F[88,x]
F[88,x] = F[89,x]+F[90,x]
F[89,x] = F[11,x]+F[86,x]
F[90,x] = F[91,x]+F[93,x]
F[91,x] = F[92,x]
F[92,x] = x^2
F[93,x] = F[94,x]
F[94,x] = F[11,x]*F[86,x]
F[95,x] = F[106,x]+F[96,x]
F[96,x] = F[59,x]+F[97,x]
F[97,x] = F[68,x]+F[71,x]+F[98,x]
F[98,x] = F[11,x]*F[99,x]
F[99,x] = F[100,x]+F[101,x]
F[100,x] = F[11,x]+F[91,x]
F[101,x] = F[102,x]+F[67,x]
F[102,x] = 2*F[68,x]+F[103,x]+F[105,x]
F[103,x] = F[104,x]*F[11,x]
F[104,x] = F[102,x]+F[91,x]
F[105,x] = F[11,x]*F[67,x]
F[106,x] = F[107,x]+F[123,x]
F[107,x] = F[108,x]+F[115,x]+F[68,x]
F[108,x] = F[109,x]*F[11,x]
F[109,x] = F[110,x]+F[111,x]
F[110,x] = F[79,x]+F[84,x]
F[111,x] = F[112,x]+F[119,x]
F[112,x] = F[113,x]+F[115,x]+F[68,x]
F[113,x] = F[11,x]*F[114,x]
F[114,x] = F[112,x]+F[79,x]
F[115,x] = F[11,x]*F[116,x]
F[116,x] = F[117,x]+F[118,x]
F[117,x] = F[112,x]+F[64,x]
F[118,x] = F[119,x]+F[67,x]
F[119,x] = 2*F[68,x]+F[120,x]+F[122,x]
F[120,x] = F[11,x]*F[121,x]
F[121,x] = F[119,x]+F[84,x]
F[122,x] = F[11,x]*F[112,x]
F[123,x] = 2*F[68,x]+F[124,x]+F[131,x]
F[124,x] = F[11,x]*F[125,x]
F[125,x] = F[126,x]+F[127,x]
F[126,x] = F[86,x]+F[93,x]
F[127,x] = F[128,x]+F[135,x]
F[128,x] = 2*F[68,x]+F[129,x]+F[131,x]
F[129,x] = F[11,x]*F[130,x]
F[130,x] = F[128,x]+F[86,x]
F[131,x] = F[11,x]*F[132,x]
F[132,x] = F[133,x]+F[134,x]
F[133,x] = F[128,x]+F[67,x]
F[134,x] = F[102,x]+F[135,x]
F[135,x] = 3*F[68,x]+F[136,x]+F[138,x]
F[136,x] = F[11,x]*F[137,x]
F[137,x] = F[135,x]+F[93,x]
F[138,x] = F[11,x]*F[128,x]
F[139,x] = F[140,x]
F[140,x] = F[11,x]*F[141,x]*F[15,x]
F[141,x] = F[142,x]+F[147,x]
F[142,x] = F[1,x]+F[143,x]
F[143,x] = F[144,x]
F[144,x] = F[11,x]*F[145,x]
F[145,x] = F[146,x]+F[82,x]
F[146,x] = F[107,x]+F[59,x]
F[147,x] = F[143,x]+F[148,x]
F[148,x] = F[149,x]+F[152,x]+F[68,x]
F[149,x] = F[11,x]*F[150,x]
F[150,x] = F[151,x]+F[89,x]
F[151,x] = F[123,x]+F[97,x]
F[152,x] = F[11,x]*F[153,x]
F[153,x] = F[64,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_{11}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{11}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{12}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{0}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{10}\! \left(x \right) = F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = x
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{44}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{11}\! \left(x \right) F_{15}\! \left(x \right) F_{41}\! \left(x \right)
F_{15}\! \left(x \right) = F_{0}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{11}\! \left(x \right) F_{18}\! \left(x \right) F_{43}\! \left(x \right)
F_{18}\! \left(x \right) = F_{0}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{11}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{24}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{23}\! \left(x \right) = F_{2}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{11}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{21}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{11}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{30}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = \frac{F_{32}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = -F_{37}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{22}\! \left(x \right)
F_{37}\! \left(x \right) = F_{0}\! \left(x \right) F_{22}\! \left(x \right)
F_{38}\! \left(x \right) = F_{26}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{11}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = \frac{F_{42}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{42}\! \left(x \right) = F_{5}\! \left(x \right)
F_{43}\! \left(x \right) = F_{0}\! \left(x \right)+F_{39}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{11}\! \left(x \right) F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = \frac{F_{47}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = -F_{139}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{11}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = \frac{F_{52}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{72}\! \left(x \right)
F_{54}\! \left(x \right) = F_{16}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{11} \left(x \right)^{2} F_{15}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{64}\! \left(x \right)
F_{58}\! \left(x \right) = F_{1}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{11}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{1}\! \left(x \right)+F_{11}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{67}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{11}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{1}\! \left(x \right)+F_{64}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{69}\! \left(x \right)+F_{71}\! \left(x \right)
F_{68}\! \left(x \right) = 0
F_{69}\! \left(x \right) = F_{11}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{11}\! \left(x \right)+F_{67}\! \left(x \right)
F_{71}\! \left(x \right) = F_{11}\! \left(x \right) F_{64}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{11} \left(x \right)^{2} F_{74}\! \left(x \right) F_{76}\! \left(x \right)
F_{74}\! \left(x \right) = \frac{F_{75}\! \left(x \right)}{F_{11} \left(x \right)^{2} F_{66}\! \left(x \right)}
F_{75}\! \left(x \right) = F_{55}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{95}\! \left(x \right)
F_{77}\! \left(x \right) = F_{62}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{86}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{11}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{1}\! \left(x \right)+F_{79}\! \left(x \right)
F_{83}\! \left(x \right) = F_{11}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{11}\! \left(x \right) F_{79}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{11}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)+F_{90}\! \left(x \right)
F_{89}\! \left(x \right) = F_{11}\! \left(x \right)+F_{86}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{93}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = x^{2}
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{11}\! \left(x \right) F_{86}\! \left(x \right)
F_{95}\! \left(x \right) = F_{106}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{59}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{68}\! \left(x \right)+F_{71}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{11}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{101}\! \left(x \right)
F_{100}\! \left(x \right) = F_{11}\! \left(x \right)+F_{91}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{67}\! \left(x \right)
F_{102}\! \left(x \right) = 2 F_{68}\! \left(x \right)+F_{103}\! \left(x \right)+F_{105}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{11}\! \left(x \right)
F_{104}\! \left(x \right) = F_{102}\! \left(x \right)+F_{91}\! \left(x \right)
F_{105}\! \left(x \right) = F_{11}\! \left(x \right) F_{67}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{123}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{115}\! \left(x \right)+F_{68}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{11}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{111}\! \left(x \right)
F_{110}\! \left(x \right) = F_{79}\! \left(x \right)+F_{84}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{119}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{115}\! \left(x \right)+F_{68}\! \left(x \right)
F_{113}\! \left(x \right) = F_{11}\! \left(x \right) F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{112}\! \left(x \right)+F_{79}\! \left(x \right)
F_{115}\! \left(x \right) = F_{11}\! \left(x \right) F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{118}\! \left(x \right)
F_{117}\! \left(x \right) = F_{112}\! \left(x \right)+F_{64}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{67}\! \left(x \right)
F_{119}\! \left(x \right) = 2 F_{68}\! \left(x \right)+F_{120}\! \left(x \right)+F_{122}\! \left(x \right)
F_{120}\! \left(x \right) = F_{11}\! \left(x \right) F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{119}\! \left(x \right)+F_{84}\! \left(x \right)
F_{122}\! \left(x \right) = F_{11}\! \left(x \right) F_{112}\! \left(x \right)
F_{123}\! \left(x \right) = 2 F_{68}\! \left(x \right)+F_{124}\! \left(x \right)+F_{131}\! \left(x \right)
F_{124}\! \left(x \right) = F_{11}\! \left(x \right) F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{127}\! \left(x \right)
F_{126}\! \left(x \right) = F_{86}\! \left(x \right)+F_{93}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{135}\! \left(x \right)
F_{128}\! \left(x \right) = 2 F_{68}\! \left(x \right)+F_{129}\! \left(x \right)+F_{131}\! \left(x \right)
F_{129}\! \left(x \right) = F_{11}\! \left(x \right) F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{128}\! \left(x \right)+F_{86}\! \left(x \right)
F_{131}\! \left(x \right) = F_{11}\! \left(x \right) F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{134}\! \left(x \right)
F_{133}\! \left(x \right) = F_{128}\! \left(x \right)+F_{67}\! \left(x \right)
F_{134}\! \left(x \right) = F_{102}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = 3 F_{68}\! \left(x \right)+F_{136}\! \left(x \right)+F_{138}\! \left(x \right)
F_{136}\! \left(x \right) = F_{11}\! \left(x \right) F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{135}\! \left(x \right)+F_{93}\! \left(x \right)
F_{138}\! \left(x \right) = F_{11}\! \left(x \right) F_{128}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{11}\! \left(x \right) F_{141}\! \left(x \right) F_{15}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{147}\! \left(x \right)
F_{142}\! \left(x \right) = F_{1}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{11}\! \left(x \right) F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{82}\! \left(x \right)
F_{146}\! \left(x \right) = F_{107}\! \left(x \right)+F_{59}\! \left(x \right)
F_{147}\! \left(x \right) = F_{143}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{152}\! \left(x \right)+F_{68}\! \left(x \right)
F_{149}\! \left(x \right) = F_{11}\! \left(x \right) F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{89}\! \left(x \right)
F_{151}\! \left(x \right) = F_{123}\! \left(x \right)+F_{97}\! \left(x \right)
F_{152}\! \left(x \right) = F_{11}\! \left(x \right) F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{64}\! \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_11(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_11(x)*F_7(x))
Eq(F_7(x), F_12(x) + F_8(x))
Eq(F_8(x), F_0(x)*F_9(x))
Eq(F_9(x), F_10(x)/F_11(x))
Eq(F_10(x), F_2(x))
Eq(F_11(x), x)
Eq(F_12(x), F_13(x) + F_44(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_11(x)*F_15(x)*F_41(x))
Eq(F_15(x), F_0(x) + F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_11(x)*F_18(x)*F_43(x))
Eq(F_18(x), F_0(x) + F_19(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_11(x)*F_21(x))
Eq(F_21(x), F_22(x) + F_24(x))
Eq(F_22(x), F_23(x)/F_11(x))
Eq(F_23(x), F_2(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_11(x)*F_26(x))
Eq(F_26(x), F_21(x) + F_27(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_11(x)*F_29(x))
Eq(F_29(x), F_30(x)/F_0(x))
Eq(F_30(x), F_31(x) - F_38(x))
Eq(F_31(x), F_32(x)/F_11(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_34(x) - F_37(x))
Eq(F_34(x), F_35(x)/F_11(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), -F_0(x) + F_22(x))
Eq(F_37(x), F_0(x)*F_22(x))
Eq(F_38(x), F_26(x)*F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_11(x)*F_41(x))
Eq(F_41(x), F_42(x)/F_11(x))
Eq(F_42(x), F_5(x))
Eq(F_43(x), F_0(x) + F_39(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_11(x)*F_4(x)*F_46(x))
Eq(F_46(x), F_47(x)/F_11(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), -F_139(x) + F_49(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_11(x)*F_51(x))
Eq(F_51(x), F_52(x)/F_11(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_54(x) + F_72(x))
Eq(F_54(x), F_16(x) + F_55(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_11(x)**2*F_15(x)*F_57(x))
Eq(F_57(x), F_58(x) + F_64(x))
Eq(F_58(x), F_1(x) + F_59(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_11(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_1(x) + F_11(x))
Eq(F_63(x), F_64(x) + F_67(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_11(x)*F_66(x))
Eq(F_66(x), F_1(x) + F_64(x))
Eq(F_67(x), F_68(x) + F_69(x) + F_71(x))
Eq(F_68(x), 0)
Eq(F_69(x), F_11(x)*F_70(x))
Eq(F_70(x), F_11(x) + F_67(x))
Eq(F_71(x), F_11(x)*F_64(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_11(x)**2*F_74(x)*F_76(x))
Eq(F_74(x), F_75(x)/(F_11(x)**2*F_66(x)))
Eq(F_75(x), F_55(x))
Eq(F_76(x), F_77(x) + F_95(x))
Eq(F_77(x), F_62(x) + F_78(x))
Eq(F_78(x), F_79(x) + F_86(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_11(x)*F_81(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_1(x) + F_79(x))
Eq(F_83(x), F_11(x) + F_84(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_11(x)*F_79(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_11(x)*F_88(x))
Eq(F_88(x), F_89(x) + F_90(x))
Eq(F_89(x), F_11(x) + F_86(x))
Eq(F_90(x), F_91(x) + F_93(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), x**2)
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_11(x)*F_86(x))
Eq(F_95(x), F_106(x) + F_96(x))
Eq(F_96(x), F_59(x) + F_97(x))
Eq(F_97(x), F_68(x) + F_71(x) + F_98(x))
Eq(F_98(x), F_11(x)*F_99(x))
Eq(F_99(x), F_100(x) + F_101(x))
Eq(F_100(x), F_11(x) + F_91(x))
Eq(F_101(x), F_102(x) + F_67(x))
Eq(F_102(x), F_103(x) + F_105(x) + 2*F_68(x))
Eq(F_103(x), F_104(x)*F_11(x))
Eq(F_104(x), F_102(x) + F_91(x))
Eq(F_105(x), F_11(x)*F_67(x))
Eq(F_106(x), F_107(x) + F_123(x))
Eq(F_107(x), F_108(x) + F_115(x) + F_68(x))
Eq(F_108(x), F_109(x)*F_11(x))
Eq(F_109(x), F_110(x) + F_111(x))
Eq(F_110(x), F_79(x) + F_84(x))
Eq(F_111(x), F_112(x) + F_119(x))
Eq(F_112(x), F_113(x) + F_115(x) + F_68(x))
Eq(F_113(x), F_11(x)*F_114(x))
Eq(F_114(x), F_112(x) + F_79(x))
Eq(F_115(x), F_11(x)*F_116(x))
Eq(F_116(x), F_117(x) + F_118(x))
Eq(F_117(x), F_112(x) + F_64(x))
Eq(F_118(x), F_119(x) + F_67(x))
Eq(F_119(x), F_120(x) + F_122(x) + 2*F_68(x))
Eq(F_120(x), F_11(x)*F_121(x))
Eq(F_121(x), F_119(x) + F_84(x))
Eq(F_122(x), F_11(x)*F_112(x))
Eq(F_123(x), F_124(x) + F_131(x) + 2*F_68(x))
Eq(F_124(x), F_11(x)*F_125(x))
Eq(F_125(x), F_126(x) + F_127(x))
Eq(F_126(x), F_86(x) + F_93(x))
Eq(F_127(x), F_128(x) + F_135(x))
Eq(F_128(x), F_129(x) + F_131(x) + 2*F_68(x))
Eq(F_129(x), F_11(x)*F_130(x))
Eq(F_130(x), F_128(x) + F_86(x))
Eq(F_131(x), F_11(x)*F_132(x))
Eq(F_132(x), F_133(x) + F_134(x))
Eq(F_133(x), F_128(x) + F_67(x))
Eq(F_134(x), F_102(x) + F_135(x))
Eq(F_135(x), F_136(x) + F_138(x) + 3*F_68(x))
Eq(F_136(x), F_11(x)*F_137(x))
Eq(F_137(x), F_135(x) + F_93(x))
Eq(F_138(x), F_11(x)*F_128(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_11(x)*F_141(x)*F_15(x))
Eq(F_141(x), F_142(x) + F_147(x))
Eq(F_142(x), F_1(x) + F_143(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_11(x)*F_145(x))
Eq(F_145(x), F_146(x) + F_82(x))
Eq(F_146(x), F_107(x) + F_59(x))
Eq(F_147(x), F_143(x) + F_148(x))
Eq(F_148(x), F_149(x) + F_152(x) + F_68(x))
Eq(F_149(x), F_11(x)*F_150(x))
Eq(F_150(x), F_151(x) + F_89(x))
Eq(F_151(x), F_123(x) + F_97(x))
Eq(F_152(x), F_11(x)*F_153(x))
Eq(F_153(x), F_64(x))
Pack JSON:
{"expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "extra_basis": [], "ignore_parent": false, "maxreqlen": 1, "one_cell_only": false, "strategy_class": "CellInsertionFactory"}, {"class_module": "tilings.strategies.requirement_placement", "dirs": [0, 1, 2, 3], "ignore_parent": false, "partial": false, "point_only": false, "strategy_class": "PatternPlacementFactory"}]], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "strategy_class": "RowColumnSeparationStrategy", "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "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", "ignore_parent": true, "interleaving": null, "strategy_class": "FactorFactory", "tracked": false, "unions": false, "workable": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}], "iterative": false, "name": "point_placements_tracked_fusion", "symmetries": [], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "InsertionEncodingVerificationStrategy"}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "OneByOneVerificationStrategy", "symmetry": false}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "LocallyFactorableVerificationStrategy", "symmetry": false}]}
Specification JSON:
{"root": {"assumptions": [], "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": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 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]]}], "requirements": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "idx": 0, "original_rule": {"children": [{"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "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]]}]]}], "class_module": "comb_spec_searcher.strategies.rule", "comb_class": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], 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