0132_0231_0312_1023_1320
Counting sequence:
1, 1, 2, 6, 19, 55, 154, 421, 1134, 3027, 8034, 21243, 56024, 147479, 387704, 1018205, 2672044, 7008181, 18372994, 48151777, 126164274, 330504903, 865678134, 2267184879, 5937187244, 15546998315, 40709050604, 106590639281, 279083838784, 730702820137, 1913108507734, 5008790475253, 13113598462374, 34332676000539, 89885771716554, 235327323503715, 616101567503744, 1612988116425791, 4222884256610144, 11055707603077637, 28944324451968724, 75777437551520413, 198388331799976234, 519388245043175689, 1359777777719085594, 3559947836893150575, 9320071230518505054, 24400276849778642391, 63880781309049977684, 167242111057836401747, 437845639825389449684, 1146294984340192391513, 3001039665038908613224, 7856824714463975224849, 20569435885727900614654, 53851485757469493725725, 140985027016180114775694, 369103606550069919027651, 966325815152027779159794, 2529873883942009692156747, 6623295926745993844720424, 17340014076439956936824423, 45396746662861847155392584, 118850226632721524908632749, 311153934676454608329064444, 814611580278946061595678085, 2132680811924991099492204754, 5583430867025242282949406001, 14617611812209165841492952834, 38269404615719115425803331607, 100190602127181900804464800134, 262302401950294027724686585023, 686716604092635063843785987324, 1797847411065480926755053441659, 4706825630579547242318138467004, 12322629483624639851992890217985, 32261062826197330417247588704144, 84460559006773267606923988928761, 221120614217734304817872604150694, 578901283693653311675390275660357, 1515583236957672959865691127104374, 3967848427368260227236468914200683, 10387962045524897040473287232593434, 27196037709962009531442536017771059, 71200151085872288828372607289102544, 186404415550677171502711858786302095, 488013095572203854777836114943334704, 1277634871178023651026942777790763861, 3344891517986045614695284801923080484, 8757039682828470225843496794966724717, 22926227530596079128404375916953587834, 60021642909153195290507971623847027033, 157138701197250363005396220290493469674, 411394460683371606250234051919445334719, 1077044680854411880794412660811466439854, 2819739581882958886231217381202201795495, 7382174064800654478095666384169634567844, 19326782612531383948448635574055693150371, 50598173772818256168035947943495427367844, 132467738705972902157230623467426553922217, 346805042345199485506798752880776164336824
Generating function in Maple syntax:
-(x^8-4*x^7+5*x^6-3*x^5+3*x^4-11*x^3+13*x^2-6*x+1)/(2*x-1)/(x^2-3*x+1)/(x-1)^2
Generating function in latex syntax:
-\frac{x^{8}-4 x^{7}+5 x^{6}-3 x^{5}+3 x^{4}-11 x^{3}+13 x^{2}-6 x +1}{\left(2 x -1\right) \left(x^{2}-3 x +1\right) \left(x -1\right)^{2}}
Generating function in sympy syntax:
(-x**8 + 4*x**7 - 5*x**6 + 3*x**5 - 3*x**4 + 11*x**3 - 13*x**2 + 6*x - 1)/((x - 1)**2*(2*x - 1)*(x**2 - 3*x + 1))
Implicit equation for the generating function in Maple syntax:
(2*x-1)*(x^2-3*x+1)*(x-1)^2*F(x)+x^8-4*x^7+5*x^6-3*x^5+3*x^4-11*x^3+13*x^2-6*x+1 = 0
Implicit equation for the generating function in latex syntax:
\left(2 x -1\right) \left(x^{2}-3 x +1\right) \left(x -1\right)^{2} F \! \left(x \right)+x^{8}-4 x^{7}+5 x^{6}-3 x^{5}+3 x^{4}-11 x^{3}+13 x^{2}-6 x +1 = 0
Explicit closed form in Maple syntax:
-1/2*piecewise(n = 0,43/8,n = 1,11/4,n = 2,3/2,n = 3,1,0)-n+2+1/5*(3/2+1/2*5^(1/2))^(-n)*5^(1/2)-1/5*(3/2-1/2*5^(1/2))^(-n)*5^(1/2)+(3/2+1/2*5^(1/2))^(-n)-5/16*2^n+(3/2-1/2*5^(1/2))^(-n)
Explicit closed form in latex syntax:
-\frac{\left(\left\{\begin{array}{cc}\frac{43}{8} & n =0 \\ \frac{11}{4} & n =1 \\ \frac{3}{2} & n =2 \\ 1 & n =3 \\ 0 & \mathit{\text{otherwise}} \end{array}\right.\right)}{2}-n +2+\frac{\left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n} \sqrt{5}}{5}-\frac{\left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n} \sqrt{5}}{5}+\left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n}-\frac{5 \,2^{n}}{16}+\left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n}
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 19
a(5) = 55
a(6) = 154
a(7) = 421
a(8) = 1134
a(n+3) = 2*a(n)-7*a(n+1)+5*a(n+2)+2-n, n >= 9
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) = 55
a \! \left(6\right) = 154
a \! \left(7\right) = 421
a \! \left(8\right) = 1134
a \! \left(n +3\right) = 2 a \! \left(n \right)-7 a \! \left(n +1\right)+5 a \! \left(n +2\right)+2-n, \quad n \geq 9
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/18585/
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[21,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[17,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = F[1,x]+F[14,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]*F[4,x]
F[19,x] = F[20,x]+F[4,x]
F[20,x] = F[18,x]
F[21,x] = F[2,x]+F[22,x]
F[22,x] = F[23,x]+F[24,x]+F[87,x]
F[23,x] = 0
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[26,x]+F[36,x]
F[26,x] = F[14,x]+F[27,x]
F[27,x] = F[23,x]+F[28,x]+F[34,x]
F[28,x] = F[29,x]*F[4,x]
F[29,x] = F[30,x]+F[33,x]
F[30,x] = F[31,x]+F[4,x]
F[31,x] = F[32,x]
F[32,x] = F[30,x]*F[4,x]
F[33,x] = F[20,x]
F[34,x] = F[35,x]*F[4,x]
F[35,x] = F[14,x]
F[36,x] = F[37,x]+F[59,x]
F[37,x] = F[23,x]+F[24,x]+F[38,x]
F[38,x] = F[39,x]*F[4,x]
F[39,x] = F[2,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[4,x]*F[42,x]
F[42,x] = F[43,x]+F[45,x]
F[43,x] = F[14,x]+F[44,x]
F[44,x] = F[28,x]
F[45,x] = F[40,x]+F[46,x]
F[46,x] = F[47,x]
F[47,x] = F[4,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[50,x]+F[57,x]
F[50,x] = F[51,x]
F[51,x] = F[4,x]*F[52,x]
F[52,x] = F[53,x]+F[55,x]
F[53,x] = F[4,x]+F[54,x]
F[54,x] = F[28,x]
F[55,x] = F[50,x]+F[56,x]
F[56,x] = F[47,x]
F[57,x] = F[58,x]
F[58,x] = F[4,x]*F[49,x]
F[59,x] = F[23,x]+F[60,x]+F[65,x]+F[67,x]
F[60,x] = F[4,x]*F[61,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[34,x]
F[63,x] = F[64,x]
F[64,x] = 2*F[23,x]+F[60,x]+F[65,x]
F[65,x] = F[4,x]*F[66,x]
F[66,x] = F[40,x]
F[67,x] = F[4,x]*F[68,x]
F[68,x] = F[69,x]
F[69,x] = F[70,x]+F[85,x]
F[70,x] = F[23,x]+F[71,x]+F[84,x]
F[71,x] = F[4,x]*F[72,x]
F[72,x] = F[73,x]+F[76,x]
F[73,x] = F[4,x]+F[74,x]
F[74,x] = F[23,x]+F[28,x]+F[75,x]
F[75,x] = F[14,x]*F[4,x]
F[76,x] = F[70,x]+F[77,x]
F[77,x] = F[23,x]+F[67,x]+F[78,x]+F[83,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[80,x]+F[81,x]
F[80,x] = F[75,x]
F[81,x] = F[82,x]
F[82,x] = 2*F[23,x]+F[78,x]+F[83,x]
F[83,x] = F[4,x]*F[40,x]
F[84,x] = F[2,x]*F[4,x]
F[85,x] = F[86,x]
F[86,x] = F[4,x]*F[69,x]
F[87,x] = F[4,x]*F[88,x]
F[88,x] = F[89,x]+F[92,x]
F[89,x] = F[2,x]+F[90,x]
F[90,x] = F[23,x]+F[71,x]+F[91,x]
F[91,x] = F[4,x]*F[89,x]
F[92,x] = F[40,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_{21}\! \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_{17}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \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_{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_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{18}\! \left(x \right)
F_{21}\! \left(x \right) = F_{2}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{24}\! \left(x \right)+F_{87}\! \left(x \right)
F_{23}\! \left(x \right) = 0
F_{24}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{36}\! \left(x \right)
F_{26}\! \left(x \right) = F_{14}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{23}\! \left(x \right)+F_{28}\! \left(x \right)+F_{34}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right) F_{4}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{33}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{4}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{30}\! \left(x \right) F_{4}\! \left(x \right)
F_{33}\! \left(x \right) = F_{20}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{35}\! \left(x \right) = F_{14}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{59}\! \left(x \right)
F_{37}\! \left(x \right) = F_{23}\! \left(x \right)+F_{24}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right) F_{4}\! \left(x \right)
F_{39}\! \left(x \right) = F_{2}\! \left(x \right)+F_{40}\! \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_{43}\! \left(x \right)+F_{45}\! \left(x \right)
F_{43}\! \left(x \right) = F_{14}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{28}\! \left(x \right)
F_{45}\! \left(x \right) = F_{40}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{4}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{57}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{4}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{55}\! \left(x \right)
F_{53}\! \left(x \right) = F_{4}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{28}\! \left(x \right)
F_{55}\! \left(x \right) = F_{50}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{47}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{59}\! \left(x \right) = F_{23}\! \left(x \right)+F_{60}\! \left(x \right)+F_{65}\! \left(x \right)+F_{67}\! \left(x \right)
F_{60}\! \left(x \right) = F_{4}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{34}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = 2 F_{23}\! \left(x \right)+F_{60}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{4}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{40}\! \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_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{85}\! \left(x \right)
F_{70}\! \left(x \right) = F_{23}\! \left(x \right)+F_{71}\! \left(x \right)+F_{84}\! \left(x \right)
F_{71}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{76}\! \left(x \right)
F_{73}\! \left(x \right) = F_{4}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{23}\! \left(x \right)+F_{28}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{14}\! \left(x \right) F_{4}\! \left(x \right)
F_{76}\! \left(x \right) = F_{70}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{23}\! \left(x \right)+F_{67}\! \left(x \right)+F_{78}\! \left(x \right)+F_{83}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{81}\! \left(x \right)
F_{80}\! \left(x \right) = F_{75}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = 2 F_{23}\! \left(x \right)+F_{78}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{84}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{4}\! \left(x \right) F_{69}\! \left(x \right)
F_{87}\! \left(x \right) = F_{4}\! \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_{2}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{23}\! \left(x \right)+F_{71}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{4}\! \left(x \right) F_{89}\! \left(x \right)
F_{92}\! \left(x \right) = F_{40}\! \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_21(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_17(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_1(x) + F_14(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x)*F_4(x))
Eq(F_19(x), F_20(x) + F_4(x))
Eq(F_20(x), F_18(x))
Eq(F_21(x), F_2(x) + F_22(x))
Eq(F_22(x), F_23(x) + F_24(x) + F_87(x))
Eq(F_23(x), 0)
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_26(x) + F_36(x))
Eq(F_26(x), F_14(x) + F_27(x))
Eq(F_27(x), F_23(x) + F_28(x) + F_34(x))
Eq(F_28(x), F_29(x)*F_4(x))
Eq(F_29(x), F_30(x) + F_33(x))
Eq(F_30(x), F_31(x) + F_4(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_30(x)*F_4(x))
Eq(F_33(x), F_20(x))
Eq(F_34(x), F_35(x)*F_4(x))
Eq(F_35(x), F_14(x))
Eq(F_36(x), F_37(x) + F_59(x))
Eq(F_37(x), F_23(x) + F_24(x) + F_38(x))
Eq(F_38(x), F_39(x)*F_4(x))
Eq(F_39(x), F_2(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_4(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_45(x))
Eq(F_43(x), F_14(x) + F_44(x))
Eq(F_44(x), F_28(x))
Eq(F_45(x), F_40(x) + F_46(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_4(x)*F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_50(x) + F_57(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_4(x)*F_52(x))
Eq(F_52(x), F_53(x) + F_55(x))
Eq(F_53(x), F_4(x) + F_54(x))
Eq(F_54(x), F_28(x))
Eq(F_55(x), F_50(x) + F_56(x))
Eq(F_56(x), F_47(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_4(x)*F_49(x))
Eq(F_59(x), F_23(x) + F_60(x) + F_65(x) + F_67(x))
Eq(F_60(x), F_4(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_34(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), 2*F_23(x) + F_60(x) + F_65(x))
Eq(F_65(x), F_4(x)*F_66(x))
Eq(F_66(x), F_40(x))
Eq(F_67(x), F_4(x)*F_68(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_70(x) + F_85(x))
Eq(F_70(x), F_23(x) + F_71(x) + F_84(x))
Eq(F_71(x), F_4(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_76(x))
Eq(F_73(x), F_4(x) + F_74(x))
Eq(F_74(x), F_23(x) + F_28(x) + F_75(x))
Eq(F_75(x), F_14(x)*F_4(x))
Eq(F_76(x), F_70(x) + F_77(x))
Eq(F_77(x), F_23(x) + F_67(x) + F_78(x) + F_83(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_80(x) + F_81(x))
Eq(F_80(x), F_75(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), 2*F_23(x) + F_78(x) + F_83(x))
Eq(F_83(x), F_4(x)*F_40(x))
Eq(F_84(x), F_2(x)*F_4(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_4(x)*F_69(x))
Eq(F_87(x), F_4(x)*F_88(x))
Eq(F_88(x), F_89(x) + F_92(x))
Eq(F_89(x), F_2(x) + F_90(x))
Eq(F_90(x), F_23(x) + F_71(x) + F_91(x))
Eq(F_91(x), F_4(x)*F_89(x))
Eq(F_92(x), F_40(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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