0132_0231_1302_1320_2310
Counting sequence:
1, 1, 2, 6, 19, 56, 152, 387, 941, 2214, 5086, 11477, 25547, 56256, 122804, 266151, 573337, 1228682, 2621306, 5570409, 11796311, 24903492, 52428592, 110100251, 230686469, 482344686, 1006632662, 2097151677, 4362075811, 9059696264, 18790481516, 38923140687, 80530636337, 166429982226, 343597383154, 708669603281, 1460288880047, 3006477106572, 6184752905576, 12713103195459, 26113401158941, 53601191853302, 109951162776782, 225399883693221, 461794883665019, 945579999886416, 1935140464884772, 3958241859992567, 8092405580430281, 16536654881749914, 33776997205277546, 68961369294109497, 140737488355326727, 287104476244867796, 585467951558163104, 1193453901253180011, 2431943798780066357, 4953959590107544062, 10088063165309909446, 20536414300809460109, 41793404541998201171, 85027960964754962712, 172938225691027044572, 351641058905088325791, 714811332856245123169, 1452681095804627187746, 2951479051793528256482, 5995191823955604273057, 12174851088648304064351, 24718637058770799163164, 50175143880489980393176, 101826027286876724917907, 206603533625546978096717, 419110025354681012712966, 850025966916536138462654, 1723663766247420502996341, 3494551197323537458132267, 7083549724304467820541152, 14355994107923721449632916, 29089777534477014516364359, 58935133706213172266923001, 119381424686944631002231722, 241785163922925834941231962, 489614956943924815755997961, 991319172083995923259060919, 2006816860560284430012248676, 4061990753905154027012747792, 8220695573379478388001993147, 16634819277897297443956978021, 33656494818071276223819936014, 68086702160695915119451828406, 137720829370498555582527565917, 278536508839210561852302946307, 563262717874848025079101517736, 1138904836142549852907194281804, 2302568473070807311312371052271, 4654654547713029833620707077777, 9408344298568890089233344097842, 19014759003423441022450548075986, 38425658819418203732868815908209, 77643599263979050841673071324431
Generating function in Maple syntax:
(x^6+x^5-6*x^4+14*x^3-14*x^2+6*x-1)/(2*x-1)^2/(-1+x)^3
Generating function in latex syntax:
\frac{x^{6}+x^{5}-6 x^{4}+14 x^{3}-14 x^{2}+6 x -1}{\left(2 x -1\right)^{2} \left(-1+x \right)^{3}}
Generating function in sympy syntax:
(x**6 + x**5 - 6*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*(-1+x)^3*F(x)+x^6+x^5-6*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(-1+x \right)^{3} F \! \left(x \right)+x^{6}+x^{5}-6 x^{4}+14 x^{3}-14 x^{2}+6 x -1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,1/8*(5*n-10)*2^n-1/2*n^2+3/2*n+1)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ \frac{\left(5 n -10\right) 2^{n}}{8}-\frac{n^{2}}{2}+\frac{3 n}{2}+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) = 19
a(5) = 56
a(6) = 152
a(n+2) = -1/2*n^2-4*a(n)+4*a(n+1)+7/2*n-2, 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) = 56
a \! \left(6\right) = 152
a \! \left(n +2\right) = -\frac{n^{2}}{2}-4 a \! \left(n \right)+4 a \! \left(n +1\right)+\frac{7 n}{2}-2, \quad n \geq 7
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/19089/
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[22,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[14,x]+F[17,x]
F[14,x] = F[15,x]
F[15,x] = F[12,x]*F[16,x]
F[16,x] = F[1,x]+F[14,x]
F[17,x] = F[18,x]+F[19,x]+F[21,x]
F[18,x] = 0
F[19,x] = F[12,x]*F[20,x]
F[20,x] = F[10,x]+F[17,x]
F[21,x] = F[12,x]*F[13,x]
F[22,x] = F[23,x]+F[6,x]
F[23,x] = F[18,x]+F[24,x]+F[67,x]
F[24,x] = F[12,x]*F[25,x]
F[25,x] = F[26,x]+F[31,x]
F[26,x] = F[27,x]+F[6,x]
F[27,x] = F[28,x]
F[28,x] = F[12,x]*F[29,x]
F[29,x] = F[10,x]+F[30,x]
F[30,x] = F[28,x]
F[31,x] = F[32,x]+F[59,x]
F[32,x] = F[18,x]+F[33,x]+F[35,x]
F[33,x] = F[12,x]*F[34,x]
F[34,x] = F[32,x]+F[6,x]
F[35,x] = F[12,x]*F[36,x]
F[36,x] = F[13,x]+F[37,x]
F[37,x] = F[38,x]+F[46,x]
F[38,x] = F[18,x]+F[39,x]+F[43,x]
F[39,x] = F[12,x]*F[40,x]
F[40,x] = F[12,x]+F[41,x]
F[41,x] = F[18,x]+F[39,x]+F[42,x]
F[42,x] = F[12,x]*F[14,x]
F[43,x] = F[12,x]*F[44,x]
F[44,x] = F[14,x]+F[45,x]
F[45,x] = F[43,x]
F[46,x] = F[18,x]+F[47,x]+F[53,x]+F[58,x]
F[47,x] = F[12,x]*F[48,x]
F[48,x] = F[49,x]+F[51,x]
F[49,x] = F[50,x]
F[50,x] = F[10,x]*F[12,x]
F[51,x] = 2*F[18,x]+F[47,x]+F[52,x]
F[52,x] = F[12,x]*F[17,x]
F[53,x] = F[12,x]*F[54,x]
F[54,x] = F[17,x]+F[55,x]
F[55,x] = 2*F[18,x]+F[53,x]+F[56,x]
F[56,x] = F[12,x]*F[57,x]
F[57,x] = F[45,x]+F[55,x]
F[58,x] = F[12,x]*F[37,x]
F[59,x] = 2*F[18,x]+F[60,x]+F[62,x]
F[60,x] = F[12,x]*F[61,x]
F[61,x] = F[27,x]+F[59,x]
F[62,x] = F[12,x]*F[63,x]
F[63,x] = F[17,x]+F[64,x]
F[64,x] = 2*F[18,x]+F[62,x]+F[65,x]
F[65,x] = F[12,x]*F[66,x]
F[66,x] = F[30,x]+F[64,x]
F[67,x] = F[12,x]*F[68,x]
F[68,x] = F[69,x]+F[74,x]
F[69,x] = F[6,x]+F[70,x]
F[70,x] = F[18,x]+F[71,x]+F[73,x]
F[71,x] = F[12,x]*F[72,x]
F[72,x] = F[29,x]+F[63,x]
F[73,x] = F[12,x]*F[69,x]
F[74,x] = F[75,x]+F[86,x]
F[75,x] = F[18,x]+F[43,x]+F[76,x]
F[76,x] = F[12,x]*F[77,x]
F[77,x] = F[78,x]+F[81,x]
F[78,x] = F[12,x]+F[79,x]
F[79,x] = F[80,x]
F[80,x] = F[12,x]*F[78,x]
F[81,x] = F[41,x]+F[82,x]
F[82,x] = 2*F[18,x]+F[83,x]+F[85,x]
F[83,x] = F[12,x]*F[84,x]
F[84,x] = F[79,x]+F[82,x]
F[85,x] = F[12,x]*F[81,x]
F[86,x] = F[18,x]+F[53,x]+F[87,x]+F[97,x]
F[87,x] = F[12,x]*F[88,x]
F[88,x] = F[89,x]+F[92,x]
F[89,x] = F[49,x]+F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[12,x]*F[89,x]
F[92,x] = F[51,x]+F[93,x]
F[93,x] = 3*F[18,x]+F[94,x]+F[96,x]
F[94,x] = F[12,x]*F[95,x]
F[95,x] = F[90,x]+F[93,x]
F[96,x] = F[12,x]*F[92,x]
F[97,x] = F[12,x]*F[74,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_{22}\! \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_{14}\! \left(x \right)+F_{17}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{12}\! \left(x \right) F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{1}\! \left(x \right)+F_{14}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{19}\! \left(x \right)+F_{21}\! \left(x \right)
F_{18}\! \left(x \right) = 0
F_{19}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{10}\! \left(x \right)+F_{17}\! \left(x \right)
F_{21}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{6}\! \left(x \right)
F_{23}\! \left(x \right) = F_{18}\! \left(x \right)+F_{24}\! \left(x \right)+F_{67}\! \left(x \right)
F_{24}\! \left(x \right) = F_{12}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{31}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{6}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{12}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{10}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{28}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{59}\! \left(x \right)
F_{32}\! \left(x \right) = F_{18}\! \left(x \right)+F_{33}\! \left(x \right)+F_{35}\! \left(x \right)
F_{33}\! \left(x \right) = F_{12}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{32}\! \left(x \right)+F_{6}\! \left(x \right)
F_{35}\! \left(x \right) = F_{12}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{13}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{46}\! \left(x \right)
F_{38}\! \left(x \right) = F_{18}\! \left(x \right)+F_{39}\! \left(x \right)+F_{43}\! \left(x \right)
F_{39}\! \left(x \right) = F_{12}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{12}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{18}\! \left(x \right)+F_{39}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{12}\! \left(x \right) F_{14}\! \left(x \right)
F_{43}\! \left(x \right) = F_{12}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{14}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{43}\! \left(x \right)
F_{46}\! \left(x \right) = F_{18}\! \left(x \right)+F_{47}\! \left(x \right)+F_{53}\! \left(x \right)+F_{58}\! \left(x \right)
F_{47}\! \left(x \right) = F_{12}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)+F_{51}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \left(x \right)
F_{51}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{47}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{12}\! \left(x \right) F_{17}\! \left(x \right)
F_{53}\! \left(x \right) = F_{12}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{17}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{53}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{12}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{45}\! \left(x \right)+F_{55}\! \left(x \right)
F_{58}\! \left(x \right) = F_{12}\! \left(x \right) F_{37}\! \left(x \right)
F_{59}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{60}\! \left(x \right)+F_{62}\! \left(x \right)
F_{60}\! \left(x \right) = F_{12}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{27}\! \left(x \right)+F_{59}\! \left(x \right)
F_{62}\! \left(x \right) = F_{12}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{17}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{62}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{12}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{30}\! \left(x \right)+F_{64}\! \left(x \right)
F_{67}\! \left(x \right) = F_{12}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{74}\! \left(x \right)
F_{69}\! \left(x \right) = F_{6}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{18}\! \left(x \right)+F_{71}\! \left(x \right)+F_{73}\! \left(x \right)
F_{71}\! \left(x \right) = F_{12}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{29}\! \left(x \right)+F_{63}\! \left(x \right)
F_{73}\! \left(x \right) = F_{12}\! \left(x \right) F_{69}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{86}\! \left(x \right)
F_{75}\! \left(x \right) = F_{18}\! \left(x \right)+F_{43}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{12}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{81}\! \left(x \right)
F_{78}\! \left(x \right) = F_{12}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{12}\! \left(x \right) F_{78}\! \left(x \right)
F_{81}\! \left(x \right) = F_{41}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{83}\! \left(x \right)+F_{85}\! \left(x \right)
F_{83}\! \left(x \right) = F_{12}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{79}\! \left(x \right)+F_{82}\! \left(x \right)
F_{85}\! \left(x \right) = F_{12}\! \left(x \right) F_{81}\! \left(x \right)
F_{86}\! \left(x \right) = F_{18}\! \left(x \right)+F_{53}\! \left(x \right)+F_{87}\! \left(x \right)+F_{97}\! \left(x \right)
F_{87}\! \left(x \right) = F_{12}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)+F_{92}\! \left(x \right)
F_{89}\! \left(x \right) = F_{49}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{12}\! \left(x \right) F_{89}\! \left(x \right)
F_{92}\! \left(x \right) = F_{51}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{94}\! \left(x \right)+F_{96}\! \left(x \right)
F_{94}\! \left(x \right) = F_{12}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{90}\! \left(x \right)+F_{93}\! \left(x \right)
F_{96}\! \left(x \right) = F_{12}\! \left(x \right) F_{92}\! \left(x \right)
F_{97}\! \left(x \right) = F_{12}\! \left(x \right) F_{74}\! \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_22(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_14(x) + F_17(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_12(x)*F_16(x))
Eq(F_16(x), F_1(x) + F_14(x))
Eq(F_17(x), F_18(x) + F_19(x) + F_21(x))
Eq(F_18(x), 0)
Eq(F_19(x), F_12(x)*F_20(x))
Eq(F_20(x), F_10(x) + F_17(x))
Eq(F_21(x), F_12(x)*F_13(x))
Eq(F_22(x), F_23(x) + F_6(x))
Eq(F_23(x), F_18(x) + F_24(x) + F_67(x))
Eq(F_24(x), F_12(x)*F_25(x))
Eq(F_25(x), F_26(x) + F_31(x))
Eq(F_26(x), F_27(x) + F_6(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_12(x)*F_29(x))
Eq(F_29(x), F_10(x) + F_30(x))
Eq(F_30(x), F_28(x))
Eq(F_31(x), F_32(x) + F_59(x))
Eq(F_32(x), F_18(x) + F_33(x) + F_35(x))
Eq(F_33(x), F_12(x)*F_34(x))
Eq(F_34(x), F_32(x) + F_6(x))
Eq(F_35(x), F_12(x)*F_36(x))
Eq(F_36(x), F_13(x) + F_37(x))
Eq(F_37(x), F_38(x) + F_46(x))
Eq(F_38(x), F_18(x) + F_39(x) + F_43(x))
Eq(F_39(x), F_12(x)*F_40(x))
Eq(F_40(x), F_12(x) + F_41(x))
Eq(F_41(x), F_18(x) + F_39(x) + F_42(x))
Eq(F_42(x), F_12(x)*F_14(x))
Eq(F_43(x), F_12(x)*F_44(x))
Eq(F_44(x), F_14(x) + F_45(x))
Eq(F_45(x), F_43(x))
Eq(F_46(x), F_18(x) + F_47(x) + F_53(x) + F_58(x))
Eq(F_47(x), F_12(x)*F_48(x))
Eq(F_48(x), F_49(x) + F_51(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_10(x)*F_12(x))
Eq(F_51(x), 2*F_18(x) + F_47(x) + F_52(x))
Eq(F_52(x), F_12(x)*F_17(x))
Eq(F_53(x), F_12(x)*F_54(x))
Eq(F_54(x), F_17(x) + F_55(x))
Eq(F_55(x), 2*F_18(x) + F_53(x) + F_56(x))
Eq(F_56(x), F_12(x)*F_57(x))
Eq(F_57(x), F_45(x) + F_55(x))
Eq(F_58(x), F_12(x)*F_37(x))
Eq(F_59(x), 2*F_18(x) + F_60(x) + F_62(x))
Eq(F_60(x), F_12(x)*F_61(x))
Eq(F_61(x), F_27(x) + F_59(x))
Eq(F_62(x), F_12(x)*F_63(x))
Eq(F_63(x), F_17(x) + F_64(x))
Eq(F_64(x), 2*F_18(x) + F_62(x) + F_65(x))
Eq(F_65(x), F_12(x)*F_66(x))
Eq(F_66(x), F_30(x) + F_64(x))
Eq(F_67(x), F_12(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_74(x))
Eq(F_69(x), F_6(x) + F_70(x))
Eq(F_70(x), F_18(x) + F_71(x) + F_73(x))
Eq(F_71(x), F_12(x)*F_72(x))
Eq(F_72(x), F_29(x) + F_63(x))
Eq(F_73(x), F_12(x)*F_69(x))
Eq(F_74(x), F_75(x) + F_86(x))
Eq(F_75(x), F_18(x) + F_43(x) + F_76(x))
Eq(F_76(x), F_12(x)*F_77(x))
Eq(F_77(x), F_78(x) + F_81(x))
Eq(F_78(x), F_12(x) + F_79(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_12(x)*F_78(x))
Eq(F_81(x), F_41(x) + F_82(x))
Eq(F_82(x), 2*F_18(x) + F_83(x) + F_85(x))
Eq(F_83(x), F_12(x)*F_84(x))
Eq(F_84(x), F_79(x) + F_82(x))
Eq(F_85(x), F_12(x)*F_81(x))
Eq(F_86(x), F_18(x) + F_53(x) + F_87(x) + F_97(x))
Eq(F_87(x), F_12(x)*F_88(x))
Eq(F_88(x), F_89(x) + F_92(x))
Eq(F_89(x), F_49(x) + F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_12(x)*F_89(x))
Eq(F_92(x), F_51(x) + F_93(x))
Eq(F_93(x), 3*F_18(x) + F_94(x) + F_96(x))
Eq(F_94(x), F_12(x)*F_95(x))
Eq(F_95(x), F_90(x) + F_93(x))
Eq(F_96(x), F_12(x)*F_92(x))
Eq(F_97(x), F_12(x)*F_74(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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