0132_0321_2301_2310
Counting sequence:
1, 1, 2, 6, 20, 61, 167, 423, 1017, 2361, 5351, 11923, 26237, 57189, 123723, 266031, 569105, 1212145, 2571983, 5439147, 11468421, 24116829, 50593331, 105905671, 221248985, 461372841, 960494967, 1996488003, 4143971597, 8589933781, 17783848091, 36775656543, 75967233057, 156766305249, 323196287903, 665719929691, 1370094566165, 2817498544845, 5789615913603, 11888469473847, 24395414239721, 50027779062169, 102529459288391, 210006720903411, 429909046458525, 879609302218821, 1798801023039467, 3676766883280783, 7511863440963377, 15340386230728401, 31314091159058031, 63894819713316363, 130322914217031077, 265712378014856509, 541557855191299283, 1103381908705768551, 2247296214057874425, 4575657221408420745, 9313444029402182423, 18951147231975043747, 38550812810291442221, 78398662313265590709, 159391398011896590651, 323970942794523996351, 658318179130509619265, 1337388945343942488001, 2716283064853731471167, 5515576478039155928763, 11197173652741697826357, 22726388698810167586221, 46116860184273879035171, 93561885941854845791383, 189780103030323867020297, 384872868353876084910969, 780371061294208871557863, 1581992771761331146582611, 3206486841868489100093885, 6497976280428631814039845, 13165957754240570855778443, 26671925895247756166948847, 54023872564028741244675921, 109407786675123940310902449, 221535656444380796264900111, 448511479077027423815984491, 907903290530586510204331205, 1837567245814236345553380381, 3718655821134599341396190067, 7524354301281451983371231943, 15222793920587410567900160537, 30793758477223834338115707241, 62283858226545695080862179511, 125960398997287442970985881603, 254706163082966991560494800717, 514983056342718194358035668629, 1041107573039004811190163463643, 2104498066785146467328511171871, 4253561974984566624553390824545, 8596255632797680628899518602145, 17370774631252456017384511101663, 35098075993819101553939969989147, 70909205450266582146221835540821
Generating function in Maple syntax:
-(x^7-2*x^6-3*x^5+7*x^4-14*x^3+14*x^2-6*x+1)/(2*x-1)^2/(x-1)^3
Generating function in latex syntax:
-\frac{x^{7}-2 x^{6}-3 x^{5}+7 x^{4}-14 x^{3}+14 x^{2}-6 x +1}{\left(2 x -1\right)^{2} \left(x -1\right)^{3}}
Generating function in sympy syntax:
(-x**7 + 2*x**6 + 3*x**5 - 7*x**4 + 14*x**3 - 14*x**2 + 6*x - 1)/((x - 1)**3*(2*x - 1)**2)
Implicit equation for the generating function in Maple syntax:
(2*x-1)^2*(x-1)^3*F(x)+x^7-2*x^6-3*x^5+7*x^4-14*x^3+14*x^2-6*x+1 = 0
Implicit equation for the generating function in latex syntax:
\left(2 x -1\right)^{2} \left(x -1\right)^{3} F \! \left(x \right)+x^{7}-2 x^{6}-3 x^{5}+7 x^{4}-14 x^{3}+14 x^{2}-6 x +1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,n = 2,2,1/16*(9*n-5)*2^n-n^2+n+1)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ 2 & n =2 \\ \frac{\left(9 n -5\right) 2^{n}}{16}-n^{2}+n +1 & \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) = 61
a(6) = 167
a(7) = 423
a(n+2) = -n^2-4*a(n)+4*a(n+1)+5*n-1, n >= 8
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) = 61
a \! \left(6\right) = 167
a \! \left(7\right) = 423
a \! \left(n +2\right) = -n^{2}-4 a \! \left(n \right)+4 a \! \left(n +1\right)+5 n -1, \quad n \geq 8
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/15470/
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[12,x]*F[4,x]
F[4,x] = F[23,x]+F[5,x]
F[5,x] = F[1,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[12,x]*F[8,x]
F[8,x] = F[13,x]+F[9,x]
F[9,x] = F[1,x]+F[10,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[9,x]
F[12,x] = x
F[13,x] = F[10,x]+F[14,x]
F[14,x] = F[15,x]+F[16,x]+F[19,x]
F[15,x] = 0
F[16,x] = F[12,x]*F[17,x]
F[17,x] = F[10,x]+F[18,x]
F[18,x] = F[16,x]
F[19,x] = F[12,x]*F[20,x]
F[20,x] = F[12,x]+F[21,x]
F[21,x] = F[15,x]+F[19,x]+F[22,x]
F[22,x] = F[10,x]*F[12,x]
F[23,x] = F[24,x]+F[51,x]
F[24,x] = F[25,x]
F[25,x] = F[12,x]*F[26,x]
F[26,x] = F[27,x]+F[31,x]
F[27,x] = F[1,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[12,x]*F[30,x]
F[30,x] = F[20,x]+F[9,x]
F[31,x] = F[32,x]+F[35,x]
F[32,x] = F[33,x]
F[33,x] = F[12,x]*F[34,x]
F[34,x] = F[1,x]+F[32,x]
F[35,x] = F[15,x]+F[36,x]+F[38,x]
F[36,x] = F[12,x]*F[37,x]
F[37,x] = F[28,x]+F[35,x]
F[38,x] = F[12,x]*F[39,x]
F[39,x] = F[40,x]+F[45,x]
F[40,x] = F[32,x]+F[41,x]
F[41,x] = F[15,x]+F[42,x]+F[44,x]
F[42,x] = F[12,x]*F[43,x]
F[43,x] = F[10,x]+F[41,x]
F[44,x] = F[12,x]*F[40,x]
F[45,x] = F[46,x]+F[48,x]
F[46,x] = F[47,x]
F[47,x] = F[12,x]*F[32,x]
F[48,x] = 2*F[15,x]+F[49,x]+F[50,x]
F[49,x] = F[12,x]*F[41,x]
F[50,x] = F[12,x]*F[45,x]
F[51,x] = F[15,x]+F[52,x]+F[71,x]
F[52,x] = F[12,x]*F[53,x]
F[53,x] = F[54,x]+F[67,x]
F[54,x] = F[55,x]+F[6,x]
F[55,x] = F[15,x]+F[56,x]+F[62,x]
F[56,x] = F[12,x]*F[57,x]
F[57,x] = F[17,x]+F[58,x]
F[58,x] = F[21,x]+F[59,x]
F[59,x] = 2*F[15,x]+F[60,x]+F[61,x]
F[60,x] = F[12,x]*F[18,x]
F[61,x] = F[12,x]*F[58,x]
F[62,x] = F[12,x]*F[63,x]
F[63,x] = F[20,x]+F[64,x]
F[64,x] = F[65,x]+F[66,x]
F[65,x] = F[22,x]
F[66,x] = F[60,x]
F[67,x] = F[68,x]+F[82,x]
F[68,x] = F[15,x]+F[69,x]+F[71,x]
F[69,x] = F[12,x]*F[70,x]
F[70,x] = F[6,x]+F[68,x]
F[71,x] = F[12,x]*F[72,x]
F[72,x] = F[40,x]+F[73,x]
F[73,x] = F[41,x]+F[74,x]
F[74,x] = F[15,x]+F[50,x]+F[75,x]+F[77,x]
F[75,x] = F[12,x]*F[76,x]
F[76,x] = F[14,x]+F[74,x]
F[77,x] = F[12,x]*F[78,x]
F[78,x] = F[41,x]+F[79,x]
F[79,x] = 2*F[15,x]+F[77,x]+F[80,x]
F[80,x] = F[12,x]*F[81,x]
F[81,x] = F[18,x]+F[79,x]
F[82,x] = F[15,x]+F[83,x]+F[85,x]+F[91,x]
F[83,x] = F[12,x]*F[84,x]
F[84,x] = F[55,x]+F[82,x]
F[85,x] = F[12,x]*F[86,x]
F[86,x] = F[78,x]+F[87,x]
F[87,x] = F[48,x]+F[88,x]
F[88,x] = 3*F[15,x]+F[89,x]+F[90,x]
F[89,x] = F[12,x]*F[79,x]
F[90,x] = F[12,x]*F[87,x]
F[91,x] = F[12,x]*F[92,x]
F[92,x] = F[45,x]+F[93,x]
F[93,x] = F[94,x]+F[95,x]
F[94,x] = F[49,x]
F[95,x] = F[89,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_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{23}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{1}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \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_{13}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{1}\! \left(x \right)+F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{9}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{10}\! \left(x \right)+F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)+F_{19}\! \left(x \right)
F_{15}\! \left(x \right) = 0
F_{16}\! \left(x \right) = F_{12}\! \left(x \right) F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{10}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{16}\! \left(x \right)
F_{19}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{12}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{15}\! \left(x \right)+F_{19}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{51}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{12}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{31}\! \left(x \right)
F_{27}\! \left(x \right) = F_{1}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{12}\! \left(x \right) F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{20}\! \left(x \right)+F_{9}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{35}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{12}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{1}\! \left(x \right)+F_{32}\! \left(x \right)
F_{35}\! \left(x \right) = F_{15}\! \left(x \right)+F_{36}\! \left(x \right)+F_{38}\! \left(x \right)
F_{36}\! \left(x \right) = F_{12}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{28}\! \left(x \right)+F_{35}\! \left(x \right)
F_{38}\! \left(x \right) = F_{12}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{45}\! \left(x \right)
F_{40}\! \left(x \right) = F_{32}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{15}\! \left(x \right)+F_{42}\! \left(x \right)+F_{44}\! \left(x \right)
F_{42}\! \left(x \right) = F_{12}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{10}\! \left(x \right)+F_{41}\! \left(x \right)
F_{44}\! \left(x \right) = F_{12}\! \left(x \right) F_{40}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{48}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{12}\! \left(x \right) F_{32}\! \left(x \right)
F_{48}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{49}\! \left(x \right)+F_{50}\! \left(x \right)
F_{49}\! \left(x \right) = F_{12}\! \left(x \right) F_{41}\! \left(x \right)
F_{50}\! \left(x \right) = F_{12}\! \left(x \right) F_{45}\! \left(x \right)
F_{51}\! \left(x \right) = F_{15}\! \left(x \right)+F_{52}\! \left(x \right)+F_{71}\! \left(x \right)
F_{52}\! \left(x \right) = F_{12}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{67}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{6}\! \left(x \right)
F_{55}\! \left(x \right) = F_{15}\! \left(x \right)+F_{56}\! \left(x \right)+F_{62}\! \left(x \right)
F_{56}\! \left(x \right) = F_{12}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{17}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{21}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{60}\! \left(x \right)+F_{61}\! \left(x \right)
F_{60}\! \left(x \right) = F_{12}\! \left(x \right) F_{18}\! \left(x \right)
F_{61}\! \left(x \right) = F_{12}\! \left(x \right) F_{58}\! \left(x \right)
F_{62}\! \left(x \right) = F_{12}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{20}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{66}\! \left(x \right)
F_{65}\! \left(x \right) = F_{22}\! \left(x \right)
F_{66}\! \left(x \right) = F_{60}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{82}\! \left(x \right)
F_{68}\! \left(x \right) = F_{15}\! \left(x \right)+F_{69}\! \left(x \right)+F_{71}\! \left(x \right)
F_{69}\! \left(x \right) = F_{12}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{6}\! \left(x \right)+F_{68}\! \left(x \right)
F_{71}\! \left(x \right) = F_{12}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{40}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{41}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{15}\! \left(x \right)+F_{50}\! \left(x \right)+F_{75}\! \left(x \right)+F_{77}\! \left(x \right)
F_{75}\! \left(x \right) = F_{12}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{14}\! \left(x \right)+F_{74}\! \left(x \right)
F_{77}\! \left(x \right) = F_{12}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{41}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{77}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{12}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{18}\! \left(x \right)+F_{79}\! \left(x \right)
F_{82}\! \left(x \right) = F_{15}\! \left(x \right)+F_{83}\! \left(x \right)+F_{85}\! \left(x \right)+F_{91}\! \left(x \right)
F_{83}\! \left(x \right) = F_{12}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{55}\! \left(x \right)+F_{82}\! \left(x \right)
F_{85}\! \left(x \right) = F_{12}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{78}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{48}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = 3 F_{15}\! \left(x \right)+F_{89}\! \left(x \right)+F_{90}\! \left(x \right)
F_{89}\! \left(x \right) = F_{12}\! \left(x \right) F_{79}\! \left(x \right)
F_{90}\! \left(x \right) = F_{12}\! \left(x \right) F_{87}\! \left(x \right)
F_{91}\! \left(x \right) = F_{12}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{45}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)+F_{95}\! \left(x \right)
F_{94}\! \left(x \right) = F_{49}\! \left(x \right)
F_{95}\! \left(x \right) = F_{89}\! \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_12(x)*F_4(x))
Eq(F_4(x), F_23(x) + F_5(x))
Eq(F_5(x), F_1(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_12(x)*F_8(x))
Eq(F_8(x), F_13(x) + F_9(x))
Eq(F_9(x), F_1(x) + F_10(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_9(x))
Eq(F_12(x), x)
Eq(F_13(x), F_10(x) + F_14(x))
Eq(F_14(x), F_15(x) + F_16(x) + F_19(x))
Eq(F_15(x), 0)
Eq(F_16(x), F_12(x)*F_17(x))
Eq(F_17(x), F_10(x) + F_18(x))
Eq(F_18(x), F_16(x))
Eq(F_19(x), F_12(x)*F_20(x))
Eq(F_20(x), F_12(x) + F_21(x))
Eq(F_21(x), F_15(x) + F_19(x) + F_22(x))
Eq(F_22(x), F_10(x)*F_12(x))
Eq(F_23(x), F_24(x) + F_51(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_12(x)*F_26(x))
Eq(F_26(x), F_27(x) + F_31(x))
Eq(F_27(x), F_1(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_12(x)*F_30(x))
Eq(F_30(x), F_20(x) + F_9(x))
Eq(F_31(x), F_32(x) + F_35(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_12(x)*F_34(x))
Eq(F_34(x), F_1(x) + F_32(x))
Eq(F_35(x), F_15(x) + F_36(x) + F_38(x))
Eq(F_36(x), F_12(x)*F_37(x))
Eq(F_37(x), F_28(x) + F_35(x))
Eq(F_38(x), F_12(x)*F_39(x))
Eq(F_39(x), F_40(x) + F_45(x))
Eq(F_40(x), F_32(x) + F_41(x))
Eq(F_41(x), F_15(x) + F_42(x) + F_44(x))
Eq(F_42(x), F_12(x)*F_43(x))
Eq(F_43(x), F_10(x) + F_41(x))
Eq(F_44(x), F_12(x)*F_40(x))
Eq(F_45(x), F_46(x) + F_48(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_12(x)*F_32(x))
Eq(F_48(x), 2*F_15(x) + F_49(x) + F_50(x))
Eq(F_49(x), F_12(x)*F_41(x))
Eq(F_50(x), F_12(x)*F_45(x))
Eq(F_51(x), F_15(x) + F_52(x) + F_71(x))
Eq(F_52(x), F_12(x)*F_53(x))
Eq(F_53(x), F_54(x) + F_67(x))
Eq(F_54(x), F_55(x) + F_6(x))
Eq(F_55(x), F_15(x) + F_56(x) + F_62(x))
Eq(F_56(x), F_12(x)*F_57(x))
Eq(F_57(x), F_17(x) + F_58(x))
Eq(F_58(x), F_21(x) + F_59(x))
Eq(F_59(x), 2*F_15(x) + F_60(x) + F_61(x))
Eq(F_60(x), F_12(x)*F_18(x))
Eq(F_61(x), F_12(x)*F_58(x))
Eq(F_62(x), F_12(x)*F_63(x))
Eq(F_63(x), F_20(x) + F_64(x))
Eq(F_64(x), F_65(x) + F_66(x))
Eq(F_65(x), F_22(x))
Eq(F_66(x), F_60(x))
Eq(F_67(x), F_68(x) + F_82(x))
Eq(F_68(x), F_15(x) + F_69(x) + F_71(x))
Eq(F_69(x), F_12(x)*F_70(x))
Eq(F_70(x), F_6(x) + F_68(x))
Eq(F_71(x), F_12(x)*F_72(x))
Eq(F_72(x), F_40(x) + F_73(x))
Eq(F_73(x), F_41(x) + F_74(x))
Eq(F_74(x), F_15(x) + F_50(x) + F_75(x) + F_77(x))
Eq(F_75(x), F_12(x)*F_76(x))
Eq(F_76(x), F_14(x) + F_74(x))
Eq(F_77(x), F_12(x)*F_78(x))
Eq(F_78(x), F_41(x) + F_79(x))
Eq(F_79(x), 2*F_15(x) + F_77(x) + F_80(x))
Eq(F_80(x), F_12(x)*F_81(x))
Eq(F_81(x), F_18(x) + F_79(x))
Eq(F_82(x), F_15(x) + F_83(x) + F_85(x) + F_91(x))
Eq(F_83(x), F_12(x)*F_84(x))
Eq(F_84(x), F_55(x) + F_82(x))
Eq(F_85(x), F_12(x)*F_86(x))
Eq(F_86(x), F_78(x) + F_87(x))
Eq(F_87(x), F_48(x) + F_88(x))
Eq(F_88(x), 3*F_15(x) + F_89(x) + F_90(x))
Eq(F_89(x), F_12(x)*F_79(x))
Eq(F_90(x), F_12(x)*F_87(x))
Eq(F_91(x), F_12(x)*F_92(x))
Eq(F_92(x), F_45(x) + F_93(x))
Eq(F_93(x), F_94(x) + F_95(x))
Eq(F_94(x), F_49(x))
Eq(F_95(x), F_89(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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