0132_0321_1032_1230_2301
Counting sequence:
1, 1, 2, 6, 19, 50, 118, 261, 555, 1152, 2356, 4775, 9625, 19338, 38778, 77673, 155479, 311108, 622384, 1244955, 2490117, 4980462, 9961174, 19922621, 39845539, 79691400, 159383148, 318766671, 637533745, 1275067922, 2550136306, 5100273105, 10200546735, 20401094028, 40802188648, 81604377923, 163208756509, 326417513718, 652835028174, 1305670057125, 2611340115067, 5222680230992, 10445360462884, 20890720926711, 41781441854409, 83562883709850, 167125767420778, 334251534842681, 668503069686535, 1337006139374292, 2674012278749856, 5348024557501035, 10696049115003445, 21392098230008318, 42784196460018118, 85568392920037773, 171136785840077139, 342273571680155928, 684547143360313564, 1369094286720628895, 2738188573441259617, 5476377146882521122, 10952754293765044194, 21905508587530090401, 43811017175060182879, 87622034350120367900, 175244068700240738008, 350488137400481478291, 700976274800962958925, 1401952549601925920262, 2803905099203851843006, 5607810198407703688565, 11215620396815407379755, 22431240793630814762208, 44862481587261629527188, 89724963174523259057223, 179449926349046518117369, 358899852698093036237738, 717799705396186072478554, 1435599410792372144960265, 2871198821584744289923767, 5742397643169488579850852, 11484795286338977159705104, 22969590572677954319413691, 45939181145355908638830949, 91878362290711817277665550, 183756724581423634555334838, 367513449162847269110673501, 735026898325694538221350915, 1470053796651389076442705832, 2940107593302778152885415756, 5880215186605556305770835695, 11760430373211112611541675665, 23520860746422225223083355698, 47041721492844450446166715858, 94083442985688900892333436273, 188166885971377801784666877199, 376333771942755603569333759148, 752667543885511207138667523144, 1505335087771022414277335051235, 3010670175542044828554670107517
Generating function in Maple syntax:
(x^6-3*x^5+2*x^4-2*x^3+6*x^2-4*x+1)/(2*x-1)/(-1+x)^3
Generating function in latex syntax:
\frac{x^{6}-3 x^{5}+2 x^{4}-2 x^{3}+6 x^{2}-4 x +1}{\left(2 x -1\right) \left(-1+x \right)^{3}}
Generating function in sympy syntax:
(x**6 - 3*x**5 + 2*x**4 - 2*x**3 + 6*x**2 - 4*x + 1)/((x - 1)**3*(2*x - 1))
Implicit equation for the generating function in Maple syntax:
-(2*x-1)*(-1+x)^3*F(x)+x^6-3*x^5+2*x^4-2*x^3+6*x^2-4*x+1 = 0
Implicit equation for the generating function in latex syntax:
-\left(2 x -1\right) \left(-1+x \right)^{3} F \! \left(x \right)+x^{6}-3 x^{5}+2 x^{4}-2 x^{3}+6 x^{2}-4 x +1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,n = 2,2,-5/2*n-1/2*n^2-1+19/8*2^n)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ 2 & n =2 \\ -\frac{5 n}{2}-\frac{n^{2}}{2}-1+\frac{19 \,2^{n}}{8} & \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) = 50
a(6) = 118
a(n+1) = 2*a(n)+1/2*(n+4)*(-1+n), 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) = 50
a \! \left(6\right) = 118
a \! \left(n +1\right) = 2 a \! \left(n \right)+\frac{\left(n +4\right) \left(-1+n \right)}{2}, \quad n \geq 7
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/19365/
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[26,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[12,x]
F[17,x] = F[18,x]+F[19,x]+F[23,x]
F[18,x] = 0
F[19,x] = F[12,x]*F[20,x]
F[20,x] = F[10,x]+F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[10,x]*F[12,x]
F[23,x] = F[12,x]*F[24,x]
F[24,x] = F[12,x]+F[25,x]
F[25,x] = F[18,x]+F[22,x]+F[23,x]
F[26,x] = F[27,x]+F[54,x]
F[27,x] = F[28,x]
F[28,x] = F[12,x]*F[29,x]
F[29,x] = F[30,x]+F[33,x]
F[30,x] = F[1,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[12,x]*F[16,x]
F[33,x] = F[27,x]+F[34,x]
F[34,x] = F[18,x]+F[35,x]+F[49,x]
F[35,x] = F[12,x]*F[36,x]
F[36,x] = F[37,x]+F[40,x]
F[37,x] = F[12,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = x^2
F[40,x] = F[41,x]+F[46,x]
F[41,x] = F[18,x]+F[35,x]+F[42,x]
F[42,x] = F[12,x]*F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[12,x]*F[45,x]
F[45,x] = F[1,x]+F[43,x]
F[46,x] = F[47,x]
F[47,x] = F[12,x]*F[48,x]
F[48,x] = F[42,x]
F[49,x] = F[12,x]*F[50,x]
F[50,x] = F[43,x]+F[51,x]
F[51,x] = F[18,x]+F[42,x]+F[52,x]
F[52,x] = F[12,x]*F[53,x]
F[53,x] = F[12,x]+F[51,x]
F[54,x] = F[18,x]+F[55,x]+F[88,x]
F[55,x] = F[12,x]*F[56,x]
F[56,x] = F[57,x]+F[61,x]
F[57,x] = F[10,x]+F[58,x]
F[58,x] = F[18,x]+F[23,x]+F[59,x]
F[59,x] = F[12,x]*F[60,x]
F[60,x] = F[10,x]+F[25,x]
F[61,x] = F[62,x]+F[68,x]
F[62,x] = F[18,x]+F[55,x]+F[63,x]
F[63,x] = F[12,x]*F[64,x]
F[64,x] = F[43,x]+F[65,x]
F[65,x] = F[18,x]+F[63,x]+F[66,x]
F[66,x] = F[12,x]*F[67,x]
F[67,x] = F[10,x]+F[65,x]
F[68,x] = F[18,x]+F[69,x]+F[80,x]+F[82,x]
F[69,x] = F[12,x]*F[70,x]
F[70,x] = F[71,x]+F[74,x]
F[71,x] = F[21,x]+F[72,x]
F[72,x] = F[73,x]
F[73,x] = F[12,x]*F[25,x]
F[74,x] = F[75,x]+F[77,x]
F[75,x] = 2*F[18,x]+F[69,x]+F[76,x]
F[76,x] = F[12,x]*F[65,x]
F[77,x] = F[78,x]
F[78,x] = F[12,x]*F[79,x]
F[79,x] = 2*F[18,x]+F[76,x]+F[80,x]
F[80,x] = F[12,x]*F[81,x]
F[81,x] = F[48,x]+F[79,x]
F[82,x] = F[12,x]*F[83,x]
F[83,x] = F[65,x]+F[84,x]
F[84,x] = F[18,x]+F[76,x]+F[80,x]+F[85,x]
F[85,x] = F[12,x]*F[86,x]
F[86,x] = F[21,x]+F[87,x]
F[87,x] = 2*F[18,x]+F[76,x]+F[85,x]
F[88,x] = F[12,x]*F[89,x]
F[89,x] = F[64,x]+F[90,x]
F[90,x] = F[91,x]+F[93,x]
F[91,x] = F[18,x]+F[52,x]+F[92,x]
F[92,x] = F[12,x]*F[50,x]
F[93,x] = F[18,x]+F[80,x]+F[85,x]+F[94,x]
F[94,x] = F[12,x]*F[95,x]
F[95,x] = F[65,x]+F[87,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_{26}\! \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_{12}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{19}\! \left(x \right)+F_{23}\! \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_{21}\! \left(x \right)
F_{21}\! \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_{12}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{12}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{18}\! \left(x \right)+F_{22}\! \left(x \right)+F_{23}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{54}\! \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_{30}\! \left(x \right)+F_{33}\! \left(x \right)
F_{30}\! \left(x \right) = F_{1}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{12}\! \left(x \right) F_{16}\! \left(x \right)
F_{33}\! \left(x \right) = F_{27}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{18}\! \left(x \right)+F_{35}\! \left(x \right)+F_{49}\! \left(x \right)
F_{35}\! \left(x \right) = F_{12}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{40}\! \left(x \right)
F_{37}\! \left(x \right) = F_{12}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = x^{2}
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{46}\! \left(x \right)
F_{41}\! \left(x \right) = F_{18}\! \left(x \right)+F_{35}\! \left(x \right)+F_{42}\! \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_{44}\! \left(x \right) = F_{12}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{1}\! \left(x \right)+F_{43}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{12}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{42}\! \left(x \right)
F_{49}\! \left(x \right) = F_{12}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{43}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{18}\! \left(x \right)+F_{42}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{12}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{12}\! \left(x \right)+F_{51}\! \left(x \right)
F_{54}\! \left(x \right) = F_{18}\! \left(x \right)+F_{55}\! \left(x \right)+F_{88}\! \left(x \right)
F_{55}\! \left(x \right) = F_{12}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{61}\! \left(x \right)
F_{57}\! \left(x \right) = F_{10}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{18}\! \left(x \right)+F_{23}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{12}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{10}\! \left(x \right)+F_{25}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{68}\! \left(x \right)
F_{62}\! \left(x \right) = F_{18}\! \left(x \right)+F_{55}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{12}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{43}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{18}\! \left(x \right)+F_{63}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{12}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{10}\! \left(x \right)+F_{65}\! \left(x \right)
F_{68}\! \left(x \right) = F_{18}\! \left(x \right)+F_{69}\! \left(x \right)+F_{80}\! \left(x \right)+F_{82}\! \left(x \right)
F_{69}\! \left(x \right) = F_{12}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{74}\! \left(x \right)
F_{71}\! \left(x \right) = F_{21}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{12}\! \left(x \right) F_{25}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{77}\! \left(x \right)
F_{75}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{69}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{12}\! \left(x \right) F_{65}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{12}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{76}\! \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_{48}\! \left(x \right)+F_{79}\! \left(x \right)
F_{82}\! \left(x \right) = F_{12}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{65}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{18}\! \left(x \right)+F_{76}\! \left(x \right)+F_{80}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{12}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{21}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{76}\! \left(x \right)+F_{85}\! \left(x \right)
F_{88}\! \left(x \right) = F_{12}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{64}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{93}\! \left(x \right)
F_{91}\! \left(x \right) = F_{18}\! \left(x \right)+F_{52}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{12}\! \left(x \right) F_{50}\! \left(x \right)
F_{93}\! \left(x \right) = F_{18}\! \left(x \right)+F_{80}\! \left(x \right)+F_{85}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{12}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{65}\! \left(x \right)+F_{87}\! \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_26(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_12(x))
Eq(F_17(x), F_18(x) + F_19(x) + F_23(x))
Eq(F_18(x), 0)
Eq(F_19(x), F_12(x)*F_20(x))
Eq(F_20(x), F_10(x) + F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_10(x)*F_12(x))
Eq(F_23(x), F_12(x)*F_24(x))
Eq(F_24(x), F_12(x) + F_25(x))
Eq(F_25(x), F_18(x) + F_22(x) + F_23(x))
Eq(F_26(x), F_27(x) + F_54(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_12(x)*F_29(x))
Eq(F_29(x), F_30(x) + F_33(x))
Eq(F_30(x), F_1(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_12(x)*F_16(x))
Eq(F_33(x), F_27(x) + F_34(x))
Eq(F_34(x), F_18(x) + F_35(x) + F_49(x))
Eq(F_35(x), F_12(x)*F_36(x))
Eq(F_36(x), F_37(x) + F_40(x))
Eq(F_37(x), F_12(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), x**2)
Eq(F_40(x), F_41(x) + F_46(x))
Eq(F_41(x), F_18(x) + F_35(x) + F_42(x))
Eq(F_42(x), F_12(x)*F_43(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_12(x)*F_45(x))
Eq(F_45(x), F_1(x) + F_43(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_12(x)*F_48(x))
Eq(F_48(x), F_42(x))
Eq(F_49(x), F_12(x)*F_50(x))
Eq(F_50(x), F_43(x) + F_51(x))
Eq(F_51(x), F_18(x) + F_42(x) + F_52(x))
Eq(F_52(x), F_12(x)*F_53(x))
Eq(F_53(x), F_12(x) + F_51(x))
Eq(F_54(x), F_18(x) + F_55(x) + F_88(x))
Eq(F_55(x), F_12(x)*F_56(x))
Eq(F_56(x), F_57(x) + F_61(x))
Eq(F_57(x), F_10(x) + F_58(x))
Eq(F_58(x), F_18(x) + F_23(x) + F_59(x))
Eq(F_59(x), F_12(x)*F_60(x))
Eq(F_60(x), F_10(x) + F_25(x))
Eq(F_61(x), F_62(x) + F_68(x))
Eq(F_62(x), F_18(x) + F_55(x) + F_63(x))
Eq(F_63(x), F_12(x)*F_64(x))
Eq(F_64(x), F_43(x) + F_65(x))
Eq(F_65(x), F_18(x) + F_63(x) + F_66(x))
Eq(F_66(x), F_12(x)*F_67(x))
Eq(F_67(x), F_10(x) + F_65(x))
Eq(F_68(x), F_18(x) + F_69(x) + F_80(x) + F_82(x))
Eq(F_69(x), F_12(x)*F_70(x))
Eq(F_70(x), F_71(x) + F_74(x))
Eq(F_71(x), F_21(x) + F_72(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_12(x)*F_25(x))
Eq(F_74(x), F_75(x) + F_77(x))
Eq(F_75(x), 2*F_18(x) + F_69(x) + F_76(x))
Eq(F_76(x), F_12(x)*F_65(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_12(x)*F_79(x))
Eq(F_79(x), 2*F_18(x) + F_76(x) + F_80(x))
Eq(F_80(x), F_12(x)*F_81(x))
Eq(F_81(x), F_48(x) + F_79(x))
Eq(F_82(x), F_12(x)*F_83(x))
Eq(F_83(x), F_65(x) + F_84(x))
Eq(F_84(x), F_18(x) + F_76(x) + F_80(x) + F_85(x))
Eq(F_85(x), F_12(x)*F_86(x))
Eq(F_86(x), F_21(x) + F_87(x))
Eq(F_87(x), 2*F_18(x) + F_76(x) + F_85(x))
Eq(F_88(x), F_12(x)*F_89(x))
Eq(F_89(x), F_64(x) + F_90(x))
Eq(F_90(x), F_91(x) + F_93(x))
Eq(F_91(x), F_18(x) + F_52(x) + F_92(x))
Eq(F_92(x), F_12(x)*F_50(x))
Eq(F_93(x), F_18(x) + F_80(x) + F_85(x) + F_94(x))
Eq(F_94(x), F_12(x)*F_95(x))
Eq(F_95(x), F_65(x) + F_87(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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