0132_1023_1230_1320

Counting sequence:
1, 1, 2, 6, 20, 62, 175, 459, 1142, 2735, 6367, 14505, 32490, 71798, 156931, 339924, 730784, 1561176, 3317337, 7016861, 14783964, 31043029, 64991085, 135712451, 282745540, 587888352, 1220147905, 2528306994, 5231378342, 10810128650, 22311315307, 45998465055, 94737921170, 194939715563, 400776530731, 823295494989, 1689988574094, 3466625387066, 7106300288047, 14558285078016, 29807244285404, 60994673411244, 124747770807405, 255009139048721, 521040047907960, 1064114589596017, 2172283096780185, 4432648943601479, 9041421663781192, 18435021534359940, 37574284306334797, 76556859921722430, 155929985369437250, 317491976138774078, 646247092189396831, 1315019022124907379, 2675085333095207054, 5440261295937929831, 11060697323880634807, 22481733324218291121, 45684126181288682994, 92809542003528934334, 188501614721989109275, 382768210742820686316, 777066251923881592280, 1577191946833030602432, 3200502420523737203265, 6493241303095805150789, 13170954555783241204692, 26710851406189592486605, 54159584760446972424837, 109794929070789585039755, 222541370091337482371980, 450985752322802735572968, 913777509590708639331481, 1851166997288235885219594, 3749557898556991826048414, 7593563519255095319191346, 15376022341821367759918867, 31129835058752690938300551, 63015250487602422897404234, 127541661091402810248987299, 258105641391082288277224195, 522255919518241410724155861, 1056601109751679330872009750, 2137380756411595501216830722, 4323118579223467427621085895, 8742951279087327837946262424, 17679330779520194169865875092, 35745517969055361204029008020, 72264748704589729407018526677, 146076922854390146039581038905, 295248696455443529974595685360, 596687094168727917439290272233, 1205753590467453768975975429681, 2436265984563313825964052239759, 4922049575349306659861318529424, 9943134361450967799290773492236, 20084339141635366858278427501477, 40564819116201894017138205478806, 81921919890843567139062470482874

Generating function in Maple syntax:
-(2*x^11-2*x^10-5*x^9+4*x^8+4*x^7-18*x^6+20*x^5+10*x^4-34*x^3+25*x^2-8*x+1)/(2*x-1)^2/(x^2+x-1)^2/(x-1)^3

Generating function in latex syntax:
-\frac{2 x^{11}-2 x^{10}-5 x^{9}+4 x^{8}+4 x^{7}-18 x^{6}+20 x^{5}+10 x^{4}-34 x^{3}+25 x^{2}-8 x +1}{\left(2 x -1\right)^{2} \left(x^{2}+x -1\right)^{2} \left(x -1\right)^{3}}

Generating function in sympy syntax:
(-2*x**11 + 2*x**10 + 5*x**9 - 4*x**8 - 4*x**7 + 18*x**6 - 20*x**5 - 10*x**4 + 34*x**3 - 25*x**2 + 8*x - 1)/((x - 1)**3*(2*x - 1)**2*(x**2 + x - 1)**2)

Implicit equation for the generating function in Maple syntax:
(2*x-1)^2*(x^2+x-1)^2*(x-1)^3*F(x)+2*x^11-2*x^10-5*x^9+4*x^8+4*x^7-18*x^6+20*x^5+10*x^4-34*x^3+25*x^2-8*x+1 = 0

Implicit equation for the generating function in latex syntax:
\left(2 x -1\right)^{2} \left(x^{2}+x -1\right)^{2} \left(x -1\right)^{3} F \! \left(x \right)+2 x^{11}-2 x^{10}-5 x^{9}+4 x^{8}+4 x^{7}-18 x^{6}+20 x^{5}+10 x^{4}-34 x^{3}+25 x^{2}-8 x +1 = 0

Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,n = 2,2,1/40*((16*n-8)*5^(1/2)-40*n+40)*(-1/2*5^(1/2)-1/2)^(-n)+1/40*((-16*n+8)*5^(1/2)-40*n+40)*(1/2*5^(1/2)-1/2)^(-n)+1/40*(25*n+85)*2^n-1/2*n^2-1/2*n-2)

Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ 2 & n =2 \\ \frac{\left(\left(16 n -8\right) \sqrt{5}-40 n +40\right) \left(-\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{-n}}{40}+\\\frac{\left(\left(-16 n +8\right) \sqrt{5}-40 n +40\right) \left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{-n}}{40}+\frac{\left(25 n +85\right) 2^{n}}{40}-\frac{n^{2}}{2}-\frac{n}{2}\\-2 & \mathit{\text{otherwise}} \end{array}\right.

Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 20
a(5) = 62
a(6) = 175
a(7) = 459
a(8) = 1142
a(9) = 2735
a(10) = 6367
a(11) = 14505
a(n+6) = -1/2*n^2-4*a(n)-4*a(n+1)+11*a(n+2)+2*a(n+3)-11*a(n+4)+6*a(n+5)+7/2*n-2, n >= 12

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) = 20
a \! \left(5\right) = 62
a \! \left(6\right) = 175
a \! \left(7\right) = 459
a \! \left(8\right) = 1142
a \! \left(9\right) = 2735
a \! \left(10\right) = 6367
a \! \left(11\right) = 14505
a \! \left(n +6\right) = -\frac{n^{2}}{2}-4 a \! \left(n \right)-4 a \! \left(n +1\right)+11 a \! \left(n +2\right)+2 a \! \left(n +3\right)-11 a \! \left(n +4\right)+6 a \! \left(n +5\right)+\frac{7 n}{2}-2, \quad n \geq 12

Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/15479/
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[13,x]
F[10,x] = F[1,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[10,x]*F[4,x]
F[13,x] = F[14,x]+F[7,x]
F[14,x] = F[15,x]+F[16,x]+F[32,x]
F[15,x] = 0
F[16,x] = F[17,x]*F[4,x]
F[17,x] = F[18,x]+F[21,x]
F[18,x] = F[19,x]+F[4,x]
F[19,x] = F[20,x]
F[20,x] = F[18,x]*F[4,x]
F[21,x] = F[22,x]+F[24,x]
F[22,x] = F[15,x]+F[16,x]+F[23,x]
F[23,x] = F[4,x]*F[7,x]
F[24,x] = F[25,x]
F[25,x] = F[26,x]*F[4,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]
F[28,x] = F[29,x]*F[4,x]
F[29,x] = F[18,x]+F[30,x]
F[30,x] = F[27,x]+F[31,x]
F[31,x] = F[25,x]
F[32,x] = F[33,x]*F[4,x]
F[33,x] = F[34,x]+F[7,x]
F[34,x] = F[28,x]
F[35,x] = F[2,x]+F[36,x]
F[36,x] = F[15,x]+F[37,x]+F[91,x]
F[37,x] = F[38,x]*F[4,x]
F[38,x] = F[39,x]+F[47,x]
F[39,x] = F[40,x]+F[43,x]
F[40,x] = F[41,x]
F[41,x] = F[4,x]*F[42,x]
F[42,x] = F[1,x]+F[40,x]
F[43,x] = F[15,x]+F[16,x]+F[44,x]
F[44,x] = F[4,x]*F[45,x]
F[45,x] = F[46,x]+F[7,x]
F[46,x] = F[28,x]
F[47,x] = F[48,x]+F[66,x]
F[48,x] = F[15,x]+F[37,x]+F[49,x]
F[49,x] = F[4,x]*F[50,x]
F[50,x] = F[2,x]+F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[4,x]*F[53,x]
F[53,x] = F[54,x]+F[55,x]
F[54,x] = F[40,x]+F[46,x]
F[55,x] = F[51,x]+F[56,x]
F[56,x] = F[57,x]
F[57,x] = F[4,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[60,x]
F[60,x] = F[61,x]
F[61,x] = F[4,x]*F[62,x]
F[62,x] = F[63,x]+F[64,x]
F[63,x] = F[27,x]+F[4,x]
F[64,x] = F[60,x]+F[65,x]
F[65,x] = F[57,x]
F[66,x] = F[15,x]+F[67,x]+F[80,x]+F[88,x]
F[67,x] = F[4,x]*F[68,x]
F[68,x] = F[69,x]+F[76,x]
F[69,x] = F[70,x]+F[73,x]
F[70,x] = F[71,x]
F[71,x] = F[4,x]*F[72,x]
F[72,x] = F[40,x]
F[73,x] = F[74,x]
F[74,x] = F[4,x]*F[75,x]
F[75,x] = F[46,x]
F[76,x] = F[77,x]
F[77,x] = 2*F[15,x]+F[67,x]+F[78,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[51,x]
F[80,x] = F[4,x]*F[81,x]
F[81,x] = F[59,x]+F[82,x]
F[82,x] = F[83,x]
F[83,x] = F[4,x]*F[84,x]
F[84,x] = F[85,x]+F[87,x]
F[85,x] = F[86,x]
F[86,x] = F[4,x]*F[40,x]
F[87,x] = F[83,x]
F[88,x] = F[4,x]*F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[52,x]
F[91,x] = F[4,x]*F[92,x]
F[92,x] = F[93,x]+F[95,x]
F[93,x] = F[2,x]+F[94,x]
F[94,x] = F[61,x]
F[95,x] = F[90,x]+F[96,x]
F[96,x] = F[83,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_{13}\! \left(x \right)
F_{10}\! \left(x \right) = F_{1}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{7}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)+F_{32}\! \left(x \right)
F_{15}\! \left(x \right) = 0
F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{21}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{4}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{24}\! \left(x \right)
F_{22}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{4}\! \left(x \right) F_{7}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right) F_{4}\! \left(x \right)
F_{29}\! \left(x \right) = F_{18}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{27}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{25}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{7}\! \left(x \right)
F_{34}\! \left(x \right) = F_{28}\! \left(x \right)
F_{35}\! \left(x \right) = F_{2}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{15}\! \left(x \right)+F_{37}\! \left(x \right)+F_{91}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{47}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{43}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{4}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{1}\! \left(x \right)+F_{40}\! \left(x \right)
F_{43}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{4}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{7}\! \left(x \right)
F_{46}\! \left(x \right) = F_{28}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{66}\! \left(x \right)
F_{48}\! \left(x \right) = F_{15}\! \left(x \right)+F_{37}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{2}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{55}\! \left(x \right)
F_{54}\! \left(x \right) = F_{40}\! \left(x \right)+F_{46}\! \left(x \right)
F_{55}\! \left(x \right) = F_{51}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{4}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{4}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{64}\! \left(x \right)
F_{63}\! \left(x \right) = F_{27}\! \left(x \right)+F_{4}\! \left(x \right)
F_{64}\! \left(x \right) = F_{60}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{57}\! \left(x \right)
F_{66}\! \left(x \right) = F_{15}\! \left(x \right)+F_{67}\! \left(x \right)+F_{80}\! \left(x \right)+F_{88}\! \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_{76}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{73}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{40}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{4}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{46}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{67}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{51}\! \left(x \right)
F_{80}\! \left(x \right) = F_{4}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{59}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{4}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{87}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{87}\! \left(x \right) = F_{83}\! \left(x \right)
F_{88}\! \left(x \right) = F_{4}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{52}\! \left(x \right)
F_{91}\! \left(x \right) = F_{4}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)+F_{95}\! \left(x \right)
F_{93}\! \left(x \right) = F_{2}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{61}\! \left(x \right)
F_{95}\! \left(x \right) = F_{90}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{83}\! \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_13(x))
Eq(F_10(x), F_1(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_10(x)*F_4(x))
Eq(F_13(x), F_14(x) + F_7(x))
Eq(F_14(x), F_15(x) + F_16(x) + F_32(x))
Eq(F_15(x), 0)
Eq(F_16(x), F_17(x)*F_4(x))
Eq(F_17(x), F_18(x) + F_21(x))
Eq(F_18(x), F_19(x) + F_4(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_18(x)*F_4(x))
Eq(F_21(x), F_22(x) + F_24(x))
Eq(F_22(x), F_15(x) + F_16(x) + F_23(x))
Eq(F_23(x), F_4(x)*F_7(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_26(x)*F_4(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_29(x)*F_4(x))
Eq(F_29(x), F_18(x) + F_30(x))
Eq(F_30(x), F_27(x) + F_31(x))
Eq(F_31(x), F_25(x))
Eq(F_32(x), F_33(x)*F_4(x))
Eq(F_33(x), F_34(x) + F_7(x))
Eq(F_34(x), F_28(x))
Eq(F_35(x), F_2(x) + F_36(x))
Eq(F_36(x), F_15(x) + F_37(x) + F_91(x))
Eq(F_37(x), F_38(x)*F_4(x))
Eq(F_38(x), F_39(x) + F_47(x))
Eq(F_39(x), F_40(x) + F_43(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_4(x)*F_42(x))
Eq(F_42(x), F_1(x) + F_40(x))
Eq(F_43(x), F_15(x) + F_16(x) + F_44(x))
Eq(F_44(x), F_4(x)*F_45(x))
Eq(F_45(x), F_46(x) + F_7(x))
Eq(F_46(x), F_28(x))
Eq(F_47(x), F_48(x) + F_66(x))
Eq(F_48(x), F_15(x) + F_37(x) + F_49(x))
Eq(F_49(x), F_4(x)*F_50(x))
Eq(F_50(x), F_2(x) + F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_4(x)*F_53(x))
Eq(F_53(x), F_54(x) + F_55(x))
Eq(F_54(x), F_40(x) + F_46(x))
Eq(F_55(x), F_51(x) + F_56(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_4(x)*F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_4(x)*F_62(x))
Eq(F_62(x), F_63(x) + F_64(x))
Eq(F_63(x), F_27(x) + F_4(x))
Eq(F_64(x), F_60(x) + F_65(x))
Eq(F_65(x), F_57(x))
Eq(F_66(x), F_15(x) + F_67(x) + F_80(x) + F_88(x))
Eq(F_67(x), F_4(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_76(x))
Eq(F_69(x), F_70(x) + F_73(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_4(x)*F_72(x))
Eq(F_72(x), F_40(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_4(x)*F_75(x))
Eq(F_75(x), F_46(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), 2*F_15(x) + F_67(x) + F_78(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_51(x))
Eq(F_80(x), F_4(x)*F_81(x))
Eq(F_81(x), F_59(x) + F_82(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_4(x)*F_84(x))
Eq(F_84(x), F_85(x) + F_87(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_4(x)*F_40(x))
Eq(F_87(x), F_83(x))
Eq(F_88(x), F_4(x)*F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_52(x))
Eq(F_91(x), F_4(x)*F_92(x))
Eq(F_92(x), F_93(x) + F_95(x))
Eq(F_93(x), F_2(x) + F_94(x))
Eq(F_94(x), F_61(x))
Eq(F_95(x), F_90(x) + F_96(x))
Eq(F_96(x), F_83(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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