0132_1230_1320_3021
Counting sequence:
1, 1, 2, 6, 20, 63, 183, 504, 1349, 3562, 9351, 24495, 64122, 167836, 439320, 1150018, 3010578, 7881499, 20633629, 54019012, 141422931, 370249190, 969323917, 2537721691, 6643840120, 17393797448, 45537550798, 119218853294, 312119007184, 817138166087, 2139295488611, 5600748296960, 14662949399137, 38388099896946, 100501350287795, 263115950962103, 688846502593718, 1803423556813764, 4721424167841764, 12360848946705162, 32361122672266766, 84722519070087555, 221806434537987657, 580696784543866476, 1520283919093602095, 3980154972736929358, 10420180999117174713, 27280388024614582659, 71420983074726560244, 186982561199565084112, 489526700523968677146, 1281597540372340931350, 3355265920593054099852, 8784200221406821350031, 22997334743627409930895, 60207804009475408422088, 157626077284798815313533, 412670427844921037495354, 1080385206249964297147999, 2828485190904971853922687, 7405070366464951264592626, 19386725908489881939826220, 50755107359004694554855472, 132878596168524201724707986, 347880681146567910619234570, 910763447271179530132960043, 2384409660666970679779608053, 6242465534729732509205824724, 16342986943522226847837824779, 42786495295836948034307606262, 112016498943988617255084948581, 293263001536128903730947191915, 767772505664398093937756577392, 2010054515457065378082322488216, 5262391040706798040309210832870, 13777118606663328742845309953598, 36068964779283188188226718968648, 94429775731186235821834846890519, 247220362414275519277277821638459, 647231311511640322009998617957712, 1694473572120645446752718032164761, 4436189404850296018248155478463810, 11614094642430242607991748403150987, 30406094522440431805727089730910471, 79604188924891052809189520789498670, 208406472252232726621841472637500628, 545615227831807127056334897122915068, 1428439211243188654547163218731153114, 3739702405897758836585154759070449414, 9790668006450087855208301058480096787, 25632301613452504729039748416369739041, 67106236833907426331910944190629014780, 175686408888269774266693084155517196007, 459952989830901896468168308275922460126, 1204172560604435915137811840672250067345, 3152564691982405848945267213740827620883, 8253521515342781631697989800550232670188, 21607999854045939046148702187909870260384, 56570478046795035506748116763179377977394, 148103434286339167474095648101628263533862, 387739824812222466915538827541705412481796
Generating function in Maple syntax:
(x^7-2*x^6-3*x^5+9*x^4-15*x^3+14*x^2-6*x+1)/(x^2-3*x+1)/(x-1)^4
Generating function in latex syntax:
\frac{x^{7}-2 x^{6}-3 x^{5}+9 x^{4}-15 x^{3}+14 x^{2}-6 x +1}{\left(x^{2}-3 x +1\right) \left(x -1\right)^{4}}
Generating function in sympy syntax:
(x**7 - 2*x**6 - 3*x**5 + 9*x**4 - 15*x**3 + 14*x**2 - 6*x + 1)/((x - 1)**4*(x**2 - 3*x + 1))
Implicit equation for the generating function in Maple syntax:
-(x^2-3*x+1)*(x-1)^4*F(x)+x^7-2*x^6-3*x^5+9*x^4-15*x^3+14*x^2-6*x+1 = 0
Implicit equation for the generating function in latex syntax:
-\left(x^{2}-3 x +1\right) \left(x -1\right)^{4} F \! \left(x \right)+x^{7}-2 x^{6}-3 x^{5}+9 x^{4}-15 x^{3}+14 x^{2}-6 x +1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,1/6*(3*5^(1/2)-3)*(3/2-1/2*5^(1/2))^(-n)+1/6*(-3*5^(1/2)-3)*(3/2+1/2*5^(1/2))^(-n)+1/6*n^3-2*n^2+23/6*n-3)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ \frac{\left(3 \sqrt{5}-3\right) \left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n}}{6}+\frac{\left(-3 \sqrt{5}-3\right) \left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n}}{6}+\frac{n^{3}}{6}-2 n^{2}+\frac{23 n}{6}\\-3 & \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) = 63
a(6) = 183
a(7) = 504
a(n+2) = -a(n)+3*a(n+1)-1/6*(-1+n)*(n^2-8*n-12), 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) = 63
a \! \left(6\right) = 183
a \! \left(7\right) = 504
a \! \left(n +2\right) = -a \! \left(n \right)+3 a \! \left(n +1\right)-\frac{\left(-1+n \right) \left(n^{2}-8 n -12\right)}{6}, \quad n \geq 8
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/15623/
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[40,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[26,x]
F[14,x] = F[15,x]
F[15,x] = F[12,x]*F[16,x]
F[16,x] = F[17,x]+F[18,x]
F[17,x] = F[1,x]+F[12,x]
F[18,x] = F[14,x]+F[19,x]
F[19,x] = F[20,x]+F[21,x]+F[25,x]
F[20,x] = 0
F[21,x] = F[12,x]*F[22,x]
F[22,x] = F[23,x]+F[24,x]
F[23,x] = F[12,x]
F[24,x] = F[19,x]
F[25,x] = F[12,x]*F[14,x]
F[26,x] = F[20,x]+F[27,x]+F[39,x]
F[27,x] = F[12,x]*F[28,x]
F[28,x] = F[29,x]+F[32,x]
F[29,x] = F[10,x]+F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[10,x]*F[12,x]
F[32,x] = F[26,x]+F[33,x]
F[33,x] = 2*F[20,x]+F[34,x]+F[38,x]
F[34,x] = F[12,x]*F[35,x]
F[35,x] = F[36,x]+F[37,x]
F[36,x] = F[30,x]
F[37,x] = F[33,x]
F[38,x] = F[12,x]*F[26,x]
F[39,x] = F[12,x]*F[13,x]
F[40,x] = F[14,x]+F[41,x]
F[41,x] = F[20,x]+F[42,x]+F[88,x]
F[42,x] = F[12,x]*F[43,x]
F[43,x] = F[44,x]+F[57,x]
F[44,x] = F[45,x]+F[6,x]
F[45,x] = F[20,x]+F[31,x]+F[46,x]
F[46,x] = F[12,x]*F[47,x]
F[47,x] = F[48,x]+F[51,x]
F[48,x] = F[12,x]+F[49,x]
F[49,x] = F[20,x]+F[31,x]+F[50,x]
F[50,x] = F[12,x]*F[48,x]
F[51,x] = F[52,x]+F[54,x]
F[52,x] = F[53,x]
F[53,x] = x^2
F[54,x] = 2*F[20,x]+F[55,x]+F[56,x]
F[55,x] = F[12,x]*F[30,x]
F[56,x] = F[12,x]*F[51,x]
F[57,x] = F[41,x]+F[58,x]
F[58,x] = F[20,x]+F[59,x]+F[63,x]+F[86,x]
F[59,x] = F[12,x]*F[60,x]
F[60,x] = F[61,x]+F[62,x]
F[61,x] = F[45,x]
F[62,x] = F[58,x]
F[63,x] = F[12,x]*F[64,x]
F[64,x] = F[20,x]+F[65,x]+F[84,x]
F[65,x] = F[12,x]*F[66,x]
F[66,x] = F[67,x]+F[68,x]
F[67,x] = F[10,x]+F[49,x]
F[68,x] = F[64,x]+F[69,x]
F[69,x] = F[20,x]+F[63,x]+F[70,x]+F[74,x]
F[70,x] = F[12,x]*F[71,x]
F[71,x] = F[72,x]+F[73,x]
F[72,x] = F[49,x]
F[73,x] = F[69,x]
F[74,x] = F[12,x]*F[75,x]
F[75,x] = F[76,x]+F[80,x]
F[76,x] = F[77,x]
F[77,x] = F[12,x]*F[78,x]
F[78,x] = F[23,x]+F[79,x]
F[79,x] = F[76,x]
F[80,x] = 2*F[20,x]+F[74,x]+F[81,x]
F[81,x] = F[12,x]*F[82,x]
F[82,x] = F[72,x]+F[83,x]
F[83,x] = F[80,x]
F[84,x] = F[12,x]*F[85,x]
F[85,x] = F[14,x]+F[64,x]
F[86,x] = F[12,x]*F[87,x]
F[87,x] = F[75,x]
F[88,x] = F[12,x]*F[89,x]
F[89,x] = F[85,x]+F[90,x]
F[90,x] = F[91,x]+F[92,x]
F[91,x] = F[77,x]
F[92,x] = 2*F[20,x]+F[81,x]+F[93,x]
F[93,x] = F[12,x]*F[90,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_{40}\! \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_{26}\! \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_{17}\! \left(x \right)+F_{18}\! \left(x \right)
F_{17}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{18}\! \left(x \right) = F_{14}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{21}\! \left(x \right)+F_{25}\! \left(x \right)
F_{20}\! \left(x \right) = 0
F_{21}\! \left(x \right) = F_{12}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{24}\! \left(x \right)
F_{23}\! \left(x \right) = F_{12}\! \left(x \right)
F_{24}\! \left(x \right) = F_{19}\! \left(x \right)
F_{25}\! \left(x \right) = F_{12}\! \left(x \right) F_{14}\! \left(x \right)
F_{26}\! \left(x \right) = F_{20}\! \left(x \right)+F_{27}\! \left(x \right)+F_{39}\! \left(x \right)
F_{27}\! \left(x \right) = F_{12}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{32}\! \left(x \right)
F_{29}\! \left(x \right) = F_{10}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \left(x \right)
F_{32}\! \left(x \right) = F_{26}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = 2 F_{20}\! \left(x \right)+F_{34}\! \left(x \right)+F_{38}\! \left(x \right)
F_{34}\! \left(x \right) = F_{12}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = F_{30}\! \left(x \right)
F_{37}\! \left(x \right) = F_{33}\! \left(x \right)
F_{38}\! \left(x \right) = F_{12}\! \left(x \right) F_{26}\! \left(x \right)
F_{39}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{40}\! \left(x \right) = F_{14}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{20}\! \left(x \right)+F_{42}\! \left(x \right)+F_{88}\! \left(x \right)
F_{42}\! \left(x \right) = F_{12}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{57}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{6}\! \left(x \right)
F_{45}\! \left(x \right) = F_{20}\! \left(x \right)+F_{31}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{12}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{51}\! \left(x \right)
F_{48}\! \left(x \right) = F_{12}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{20}\! \left(x \right)+F_{31}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{12}\! \left(x \right) F_{48}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{54}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = x^{2}
F_{54}\! \left(x \right) = 2 F_{20}\! \left(x \right)+F_{55}\! \left(x \right)+F_{56}\! \left(x \right)
F_{55}\! \left(x \right) = F_{12}\! \left(x \right) F_{30}\! \left(x \right)
F_{56}\! \left(x \right) = F_{12}\! \left(x \right) F_{51}\! \left(x \right)
F_{57}\! \left(x \right) = F_{41}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{20}\! \left(x \right)+F_{59}\! \left(x \right)+F_{63}\! \left(x \right)+F_{86}\! \left(x \right)
F_{59}\! \left(x \right) = F_{12}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{62}\! \left(x \right)
F_{61}\! \left(x \right) = F_{45}\! \left(x \right)
F_{62}\! \left(x \right) = F_{58}\! \left(x \right)
F_{63}\! \left(x \right) = F_{12}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{20}\! \left(x \right)+F_{65}\! \left(x \right)+F_{84}\! \left(x \right)
F_{65}\! \left(x \right) = F_{12}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{10}\! \left(x \right)+F_{49}\! \left(x \right)
F_{68}\! \left(x \right) = F_{64}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{20}\! \left(x \right)+F_{63}\! \left(x \right)+F_{70}\! \left(x \right)+F_{74}\! \left(x \right)
F_{70}\! \left(x \right) = F_{12}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{73}\! \left(x \right)
F_{72}\! \left(x \right) = F_{49}\! \left(x \right)
F_{73}\! \left(x \right) = F_{69}\! \left(x \right)
F_{74}\! \left(x \right) = F_{12}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{80}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{12}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{23}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{76}\! \left(x \right)
F_{80}\! \left(x \right) = 2 F_{20}\! \left(x \right)+F_{74}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{12}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{72}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{80}\! \left(x \right)
F_{84}\! \left(x \right) = F_{12}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{14}\! \left(x \right)+F_{64}\! \left(x \right)
F_{86}\! \left(x \right) = F_{12}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{75}\! \left(x \right)
F_{88}\! \left(x \right) = F_{12}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{85}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{92}\! \left(x \right)
F_{91}\! \left(x \right) = F_{77}\! \left(x \right)
F_{92}\! \left(x \right) = 2 F_{20}\! \left(x \right)+F_{81}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{12}\! \left(x \right) F_{90}\! \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_40(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_26(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_12(x)*F_16(x))
Eq(F_16(x), F_17(x) + F_18(x))
Eq(F_17(x), F_1(x) + F_12(x))
Eq(F_18(x), F_14(x) + F_19(x))
Eq(F_19(x), F_20(x) + F_21(x) + F_25(x))
Eq(F_20(x), 0)
Eq(F_21(x), F_12(x)*F_22(x))
Eq(F_22(x), F_23(x) + F_24(x))
Eq(F_23(x), F_12(x))
Eq(F_24(x), F_19(x))
Eq(F_25(x), F_12(x)*F_14(x))
Eq(F_26(x), F_20(x) + F_27(x) + F_39(x))
Eq(F_27(x), F_12(x)*F_28(x))
Eq(F_28(x), F_29(x) + F_32(x))
Eq(F_29(x), F_10(x) + F_30(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_10(x)*F_12(x))
Eq(F_32(x), F_26(x) + F_33(x))
Eq(F_33(x), 2*F_20(x) + F_34(x) + F_38(x))
Eq(F_34(x), F_12(x)*F_35(x))
Eq(F_35(x), F_36(x) + F_37(x))
Eq(F_36(x), F_30(x))
Eq(F_37(x), F_33(x))
Eq(F_38(x), F_12(x)*F_26(x))
Eq(F_39(x), F_12(x)*F_13(x))
Eq(F_40(x), F_14(x) + F_41(x))
Eq(F_41(x), F_20(x) + F_42(x) + F_88(x))
Eq(F_42(x), F_12(x)*F_43(x))
Eq(F_43(x), F_44(x) + F_57(x))
Eq(F_44(x), F_45(x) + F_6(x))
Eq(F_45(x), F_20(x) + F_31(x) + F_46(x))
Eq(F_46(x), F_12(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_51(x))
Eq(F_48(x), F_12(x) + F_49(x))
Eq(F_49(x), F_20(x) + F_31(x) + F_50(x))
Eq(F_50(x), F_12(x)*F_48(x))
Eq(F_51(x), F_52(x) + F_54(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), x**2)
Eq(F_54(x), 2*F_20(x) + F_55(x) + F_56(x))
Eq(F_55(x), F_12(x)*F_30(x))
Eq(F_56(x), F_12(x)*F_51(x))
Eq(F_57(x), F_41(x) + F_58(x))
Eq(F_58(x), F_20(x) + F_59(x) + F_63(x) + F_86(x))
Eq(F_59(x), F_12(x)*F_60(x))
Eq(F_60(x), F_61(x) + F_62(x))
Eq(F_61(x), F_45(x))
Eq(F_62(x), F_58(x))
Eq(F_63(x), F_12(x)*F_64(x))
Eq(F_64(x), F_20(x) + F_65(x) + F_84(x))
Eq(F_65(x), F_12(x)*F_66(x))
Eq(F_66(x), F_67(x) + F_68(x))
Eq(F_67(x), F_10(x) + F_49(x))
Eq(F_68(x), F_64(x) + F_69(x))
Eq(F_69(x), F_20(x) + F_63(x) + F_70(x) + F_74(x))
Eq(F_70(x), F_12(x)*F_71(x))
Eq(F_71(x), F_72(x) + F_73(x))
Eq(F_72(x), F_49(x))
Eq(F_73(x), F_69(x))
Eq(F_74(x), F_12(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_80(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_12(x)*F_78(x))
Eq(F_78(x), F_23(x) + F_79(x))
Eq(F_79(x), F_76(x))
Eq(F_80(x), 2*F_20(x) + F_74(x) + F_81(x))
Eq(F_81(x), F_12(x)*F_82(x))
Eq(F_82(x), F_72(x) + F_83(x))
Eq(F_83(x), F_80(x))
Eq(F_84(x), F_12(x)*F_85(x))
Eq(F_85(x), F_14(x) + F_64(x))
Eq(F_86(x), F_12(x)*F_87(x))
Eq(F_87(x), F_75(x))
Eq(F_88(x), F_12(x)*F_89(x))
Eq(F_89(x), F_85(x) + F_90(x))
Eq(F_90(x), F_91(x) + F_92(x))
Eq(F_91(x), F_77(x))
Eq(F_92(x), 2*F_20(x) + F_81(x) + F_93(x))
Eq(F_93(x), F_12(x)*F_90(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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