0231_1230_1302_2031_3012

Counting sequence:
1, 1, 2, 6, 19, 57, 163, 452, 1229, 3296, 8746, 23007, 60083, 155945, 402638, 1034909, 2649686, 6760914, 17199379, 43638085, 110456379, 278995068, 703357849, 1770155356, 4448079278, 11161484455, 27971425599, 70016293001, 175072856886, 437333185881, 1091477233754, 2721803729662, 6782143922931, 16887711179777, 42023414521315, 104508039384004, 259755700734629, 645290163750216, 1602269752880178, 3976688599105167, 9865666383032251, 24465979449666329, 60651507428695438, 150305193810091061, 372365599188189518, 922225949574086986, 2283419599252704499, 5652264516676952173, 13987973697734184795, 34609028416536034588, 85611578474018624497, 211733653102256292324, 523560603793715224822, 1294400699956356261719, 3199631147961089915815, 7907967295599873550489, 19541939718207338690518, 48284989989431105677873, 119289401746308595629170, 294672867545473134796150, 727830302642035029347411, 1797524147537153400645769, 4438913536853205333329763, 10960706621796687647994628, 27062177512863527041012349, 66811541604015605678672496, 164932760639571652119804474, 407128051009470269612000959, 1004906477656194676516546691, 2480233287565612024120213961, 6121154245142715677137993998, 15106002717975062702834463053, 37277148425478346154957155590, 91984373442856209091652218690, 226968166493202267335508928595, 560011011846509839001978187861, 1381688155888139020249538109371, 3408838396790391229255946560764, 8409819968765193985930410500681, 20746833889945608108757561040940, 51180283581825938179811541679422, 126252533873526252245260429238407, 311433162703952784021525217189839, 768205977037268000001682762027113, 1894869352972091443327708278341430, 4673801638742417965853830736867977, 11527929424405821265459142545538634, 28433017081247014344301629908246894, 70127075892003767895857775216805427, 172957808419795865558631942818201041, 426566511390085290374118612853905187, 1052024694722132770296534895185905540, 2594526628082210277436764749536143445, 6398582194300247642497388738117733976, 15779861087007104563042283045366837826, 38914975096987201105257349854469318767, 95967643933764475607521505817646076171, 236661558398618550418377402296142077753, 583614020919351934512870123435640077134, 1439193221216823706889054778131112801765, 3549017560142035013270750329093666487166

Generating function in Maple syntax:
(x^6-4*x^5+11*x^4-16*x^3+14*x^2-6*x+1)/(3*x^3-5*x^2+4*x-1)/(x^3-2*x^2+3*x-1)

Generating function in latex syntax:
\frac{x^{6}-4 x^{5}+11 x^{4}-16 x^{3}+14 x^{2}-6 x +1}{\left(3 x^{3}-5 x^{2}+4 x -1\right) \left(x^{3}-2 x^{2}+3 x -1\right)}

Generating function in sympy syntax:
(x**6 - 4*x**5 + 11*x**4 - 16*x**3 + 14*x**2 - 6*x + 1)/((x**3 - 2*x**2 + 3*x - 1)*(3*x**3 - 5*x**2 + 4*x - 1))

Implicit equation for the generating function in Maple syntax:
(3*x^3-5*x^2+4*x-1)*(x^3-2*x^2+3*x-1)*F(x)-x^6+4*x^5-11*x^4+16*x^3-14*x^2+6*x-1 = 0

Implicit equation for the generating function in latex syntax:
\left(3 x^{3}-5 x^{2}+4 x -1\right) \left(x^{3}-2 x^{2}+3 x -1\right) F \! \left(x \right)-x^{6}+4 x^{5}-11 x^{4}+16 x^{3}-14 x^{2}+6 x -1 = 0

Explicit closed form in Maple syntax:
-63462/713*Sum(_alpha^(-n+4),_alpha = RootOf(3*_Z^6-11*_Z^5+23*_Z^4-27*_Z^3+19*_Z^2-7*_Z+1))+206093/713*Sum(_alpha^(-n+3),_alpha = RootOf(3*_Z^6-11*_Z^5+23*_Z^4-27*_Z^3+19*_Z^2-7*_Z+1))-400111/713*Sum(_alpha^(-n+2),_alpha = RootOf(3*_Z^6-11*_Z^5+23*_Z^4-27*_Z^3+19*_Z^2-7*_Z+1))+403402/713*Sum(_alpha^(-n+1),_alpha = RootOf(3*_Z^6-11*_Z^5+23*_Z^4-27*_Z^3+19*_Z^2-7*_Z+1))-232679/713*Sum(_alpha^(-n),_alpha = RootOf(3*_Z^6-11*_Z^5+23*_Z^4-27*_Z^3+19*_Z^2-7*_Z+1))+50488/713*Sum(_alpha^(-n-1),_alpha = RootOf(3*_Z^6-11*_Z^5+23*_Z^4-27*_Z^3+19*_Z^2-7*_Z+1))+piecewise(n = 0,1/3,0)

Explicit closed form in latex syntax:
-\frac{63462 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(3 \textit{\_Z}^{6}-11 \textit{\_Z}^{5}+23 \textit{\_Z}^{4}-27 \textit{\_Z}^{3}+19 \textit{\_Z}^{2}-7 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +4}\right)}{713}+\frac{206093 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(3 \textit{\_Z}^{6}-11 \textit{\_Z}^{5}+23 \textit{\_Z}^{4}-27 \textit{\_Z}^{3}+19 \textit{\_Z}^{2}-7 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +3}\right)}{713}-\frac{400111 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(3 \textit{\_Z}^{6}-11 \textit{\_Z}^{5}+23 \textit{\_Z}^{4}-27 \textit{\_Z}^{3}+19 \textit{\_Z}^{2}-7 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +2}\right)}{713}+\frac{403402 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(3 \textit{\_Z}^{6}-11 \textit{\_Z}^{5}+23 \textit{\_Z}^{4}-27 \textit{\_Z}^{3}+19 \textit{\_Z}^{2}-7 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +1}\right)}{713}-\frac{232679 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(3 \textit{\_Z}^{6}-11 \textit{\_Z}^{5}+23 \textit{\_Z}^{4}-27 \textit{\_Z}^{3}+19 \textit{\_Z}^{2}-7 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n}\right)}{713}+\frac{50488 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(3 \textit{\_Z}^{6}-11 \textit{\_Z}^{5}+23 \textit{\_Z}^{4}-27 \textit{\_Z}^{3}+19 \textit{\_Z}^{2}-7 \textit{\_Z} +1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n -1}\right)}{713}+\left(\left\{\begin{array}{cc}\frac{1}{3} & n =0 \\ 0 & \mathit{\text{otherwise}} \end{array}\right.\right)

Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 19
a(5) = 57
a(6) = 163
a(n+6) = -3*a(n)+11*a(n+1)-23*a(n+2)+27*a(n+3)-19*a(n+4)+7*a(n+5), n >= 7

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) = 19
a \! \left(5\right) = 57
a \! \left(6\right) = 163
a \! \left(n +6\right) = -3 a \! \left(n \right)+11 a \! \left(n +1\right)-23 a \! \left(n +2\right)+27 a \! \left(n +3\right)-19 a \! \left(n +4\right)+7 a \! \left(n +5\right), \quad n \geq 7

Specification 1
Strategy pack name: point_placements
Tree: http://www.permpal.com/tree/21058/
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[35,x]+F[6,x]
F[6,x] = F[1,x]+F[7,x]
F[7,x] = F[8,x]
F[8,x] = F[4,x]*F[9,x]
F[9,x] = F[10,x]+F[6,x]
F[10,x] = F[11,x]+F[23,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[4,x]
F[13,x] = F[14,x]+F[17,x]
F[14,x] = F[1,x]+F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[14,x]*F[4,x]
F[17,x] = F[11,x]+F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[20,x]*F[4,x]
F[20,x] = F[21,x]+F[22,x]
F[21,x] = F[15,x]
F[22,x] = F[18,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[27,x]+F[7,x]
F[27,x] = F[28,x]
F[28,x] = F[26,x]*F[4,x]
F[29,x] = F[23,x]+F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[33,x]+F[34,x]
F[33,x] = F[27,x]
F[34,x] = F[30,x]
F[35,x] = F[36,x]+F[48,x]
F[36,x] = F[37,x]
F[37,x] = F[38,x]*F[4,x]
F[38,x] = F[14,x]+F[39,x]
F[39,x] = F[36,x]+F[40,x]
F[40,x] = F[41,x]+F[42,x]+F[45,x]
F[41,x] = 0
F[42,x] = F[4,x]*F[43,x]
F[43,x] = F[21,x]+F[44,x]
F[44,x] = F[40,x]
F[45,x] = F[4,x]*F[46,x]
F[46,x] = F[36,x]+F[47,x]
F[47,x] = F[45,x]
F[48,x] = F[41,x]+F[49,x]+F[67,x]
F[49,x] = F[4,x]*F[50,x]
F[50,x] = F[26,x]+F[51,x]
F[51,x] = F[48,x]+F[52,x]
F[52,x] = 2*F[41,x]+F[53,x]+F[56,x]
F[53,x] = F[4,x]*F[54,x]
F[54,x] = F[33,x]+F[55,x]
F[55,x] = F[52,x]
F[56,x] = F[4,x]*F[57,x]
F[57,x] = F[58,x]+F[66,x]
F[58,x] = F[59,x]
F[59,x] = F[4,x]*F[60,x]
F[60,x] = F[26,x]+F[61,x]
F[61,x] = F[58,x]+F[62,x]
F[62,x] = 2*F[41,x]+F[56,x]+F[63,x]
F[63,x] = F[4,x]*F[64,x]
F[64,x] = F[33,x]+F[65,x]
F[65,x] = F[62,x]
F[66,x] = F[56,x]
F[67,x] = F[4,x]*F[68,x]
F[68,x] = F[69,x]+F[70,x]
F[69,x] = F[36,x]+F[58,x]
F[70,x] = F[71,x]+F[76,x]
F[71,x] = F[72,x]
F[72,x] = F[4,x]*F[73,x]
F[73,x] = F[74,x]+F[75,x]
F[74,x] = F[36,x]
F[75,x] = F[71,x]
F[76,x] = F[77,x]
F[77,x] = F[4,x]*F[78,x]
F[78,x] = F[79,x]+F[80,x]
F[79,x] = F[58,x]
F[80,x] = F[76,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_{35}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{1}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{6}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{23}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{17}\! \left(x \right)
F_{14}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{14}\! \left(x \right) F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{11}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)
F_{21}\! \left(x \right) = F_{15}\! \left(x \right)
F_{22}\! \left(x \right) = F_{18}\! \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_{27}\! \left(x \right)+F_{7}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{29}\! \left(x \right) = F_{23}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{34}\! \left(x \right)
F_{33}\! \left(x \right) = F_{27}\! \left(x \right)
F_{34}\! \left(x \right) = F_{30}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{48}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right)
F_{38}\! \left(x \right) = F_{14}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{36}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)+F_{45}\! \left(x \right)
F_{41}\! \left(x \right) = 0
F_{42}\! \left(x \right) = F_{4}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{21}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{40}\! \left(x \right)
F_{45}\! \left(x \right) = F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{36}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{45}\! \left(x \right)
F_{48}\! \left(x \right) = F_{41}\! \left(x \right)+F_{49}\! \left(x \right)+F_{67}\! \left(x \right)
F_{49}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{26}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{48}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = 2 F_{41}\! \left(x \right)+F_{53}\! \left(x \right)+F_{56}\! \left(x \right)
F_{53}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{33}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{52}\! \left(x \right)
F_{56}\! \left(x \right) = F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{66}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{4}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{26}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{58}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = 2 F_{41}\! \left(x \right)+F_{56}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{4}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{33}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{62}\! \left(x \right)
F_{66}\! \left(x \right) = F_{56}\! \left(x \right)
F_{67}\! \left(x \right) = F_{4}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{70}\! \left(x \right)
F_{69}\! \left(x \right) = F_{36}\! \left(x \right)+F_{58}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{76}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{4}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{75}\! \left(x \right)
F_{74}\! \left(x \right) = F_{36}\! \left(x \right)
F_{75}\! \left(x \right) = F_{71}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{4}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{80}\! \left(x \right)
F_{79}\! \left(x \right) = F_{58}\! \left(x \right)
F_{80}\! \left(x \right) = F_{76}\! \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_35(x) + F_6(x))
Eq(F_6(x), F_1(x) + F_7(x))
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_4(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_6(x))
Eq(F_10(x), F_11(x) + F_23(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_4(x))
Eq(F_13(x), F_14(x) + F_17(x))
Eq(F_14(x), F_1(x) + F_15(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_14(x)*F_4(x))
Eq(F_17(x), F_11(x) + F_18(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_20(x)*F_4(x))
Eq(F_20(x), F_21(x) + F_22(x))
Eq(F_21(x), F_15(x))
Eq(F_22(x), F_18(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_27(x) + F_7(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_26(x)*F_4(x))
Eq(F_29(x), F_23(x) + F_30(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_33(x) + F_34(x))
Eq(F_33(x), F_27(x))
Eq(F_34(x), F_30(x))
Eq(F_35(x), F_36(x) + F_48(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x)*F_4(x))
Eq(F_38(x), F_14(x) + F_39(x))
Eq(F_39(x), F_36(x) + F_40(x))
Eq(F_40(x), F_41(x) + F_42(x) + F_45(x))
Eq(F_41(x), 0)
Eq(F_42(x), F_4(x)*F_43(x))
Eq(F_43(x), F_21(x) + F_44(x))
Eq(F_44(x), F_40(x))
Eq(F_45(x), F_4(x)*F_46(x))
Eq(F_46(x), F_36(x) + F_47(x))
Eq(F_47(x), F_45(x))
Eq(F_48(x), F_41(x) + F_49(x) + F_67(x))
Eq(F_49(x), F_4(x)*F_50(x))
Eq(F_50(x), F_26(x) + F_51(x))
Eq(F_51(x), F_48(x) + F_52(x))
Eq(F_52(x), 2*F_41(x) + F_53(x) + F_56(x))
Eq(F_53(x), F_4(x)*F_54(x))
Eq(F_54(x), F_33(x) + F_55(x))
Eq(F_55(x), F_52(x))
Eq(F_56(x), F_4(x)*F_57(x))
Eq(F_57(x), F_58(x) + F_66(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_4(x)*F_60(x))
Eq(F_60(x), F_26(x) + F_61(x))
Eq(F_61(x), F_58(x) + F_62(x))
Eq(F_62(x), 2*F_41(x) + F_56(x) + F_63(x))
Eq(F_63(x), F_4(x)*F_64(x))
Eq(F_64(x), F_33(x) + F_65(x))
Eq(F_65(x), F_62(x))
Eq(F_66(x), F_56(x))
Eq(F_67(x), F_4(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_70(x))
Eq(F_69(x), F_36(x) + F_58(x))
Eq(F_70(x), F_71(x) + F_76(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_4(x)*F_73(x))
Eq(F_73(x), F_74(x) + F_75(x))
Eq(F_74(x), F_36(x))
Eq(F_75(x), F_71(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_4(x)*F_78(x))
Eq(F_78(x), F_79(x) + F_80(x))
Eq(F_79(x), F_58(x))
Eq(F_80(x), F_76(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.factor", "ignore_parent": true, "interleaving": null, "strategy_class": "FactorFactory", "tracked": false, "unions": false, "workable": true}], "iterative": false, "name": "point_placements", "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:
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