0132_2103_2130_3102
Counting sequence:
1, 1, 2, 6, 20, 62, 174, 457, 1158, 2887, 7159, 17751, 44110, 109942, 274939, 689947, 1737559, 4391654, 11139805, 28356660, 72426669, 185575556, 476887704, 1228760886, 3173602385, 8213915487, 21298260664, 55312799702, 143845298358, 374511796667, 976015855094, 2545667224091, 6644175012120, 17351021639397, 45332654191709, 118485074305017, 309779508153384, 810127600617884, 2119069990303705, 5543848259839125, 14505662970992969, 37958812642141316, 99340675824511059, 260000061632150566, 680527155359613975, 1781304327516345562, 4662806384561424454, 12205904263865571072, 31952379729314468083, 83645966064357321997, 218974540939665555454, 573254804504967401656, 1500742338488544370480, 3928873413243839980577, 10285672705984953190804, 26927718833071256032437, 70496600524751896505034, 184560252027935906985539, 483180363528169578074355, 1264972988782422320012715, 3311722362838841083472594, 8670160520895279255470226, 22698689808383938157783239, 59425765581701993778624671, 155578311068240923445355915, 407308557151084087231298162, 1066346101394728307570926169, 2791727151806793965468177192, 7308830006775715222276522833, 19134751855814139696758218752, 50095402889618237278958287364, 131151410161224809728659641946, 343358731634093520469932110565, 898924587434681139283771524107, 2353414625136728180950598592724, 6161318454772967082254995655082, 16130539027914618835926702784634, 42230295115530226170509072364119, 110560339107622440333652271576130, 289450707412162903999849286361055, 757791752782939252745555442724044, 1983924488714754075946371704498161, 5193981585819649005750181737529369, 13598020007389542313366528799470701, 35600077900945955572520508910965580, 93202212598952606013726336472909912, 244006557650936615444292123076282309, 638817455758730199963944539695546937, 1672445800222228959484955775143400733, 4378519925671529036782943357807552432, 11463113937449076277325382436638921199, 30010821806228940054757320150458774586, 78569351316785146793129342121104086875, 205697231808025779658649961577738351862, 538522343420544955389255835111818768594, 1409869797050713536988960347228282256452, 3691087044866383434651612560319001675559, 9663391331697932141303170154555458236249, 25299086938283767490232549011120618921530, 66233869458775855075786768505492840559020, 173402521388298415198484035538811491031444
Generating function in Maple syntax:
-(x^12-12*x^11+44*x^10-45*x^9-87*x^8+346*x^7-598*x^6+665*x^5-494*x^4+241*x^3-74*x^2+13*x-1)/(x^2-3*x+1)/(2*x-1)^3/(x-1)^5
Generating function in latex syntax:
-\frac{x^{12}-12 x^{11}+44 x^{10}-45 x^{9}-87 x^{8}+346 x^{7}-598 x^{6}+665 x^{5}-494 x^{4}+241 x^{3}-74 x^{2}+13 x -1}{\left(x^{2}-3 x +1\right) \left(2 x -1\right)^{3} \left(x -1\right)^{5}}
Generating function in sympy syntax:
(-x**12 + 12*x**11 - 44*x**10 + 45*x**9 + 87*x**8 - 346*x**7 + 598*x**6 - 665*x**5 + 494*x**4 - 241*x**3 + 74*x**2 - 13*x + 1)/((x - 1)**5*(2*x - 1)**3*(x**2 - 3*x + 1))
Implicit equation for the generating function in Maple syntax:
(x^2-3*x+1)*(2*x-1)^3*(x-1)^5*F(x)+x^12-12*x^11+44*x^10-45*x^9-87*x^8+346*x^7-598*x^6+665*x^5-494*x^4+241*x^3-74*x^2+13*x-1 = 0
Implicit equation for the generating function in latex syntax:
\left(x^{2}-3 x +1\right) \left(2 x -1\right)^{3} \left(x -1\right)^{5} F \! \left(x \right)+x^{12}-12 x^{11}+44 x^{10}-45 x^{9}-87 x^{8}+346 x^{7}-598 x^{6}+665 x^{5}-494 x^{4}+241 x^{3}-74 x^{2}+13 x -1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,n = 2,2,1/960*(-96*5^(1/2)+480)*(3/2-1/2*5^(1/2))^(-n)+1/960*(96*5^(1/2)+480)*(3/2+1/2*5^(1/2))^(-n)+1/960*(15*n^2+135*n-300)*2^n+1/24*n^4-1/12*n^3-25/24*n^2+37/12*n-2)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ 2 & n =2 \\ \frac{\left(-96 \sqrt{5}+480\right) \left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n}}{960}+\frac{\left(96 \sqrt{5}+480\right) \left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n}}{960}+\\\frac{\left(15 n^{2}+135 n -300\right) 2^{n}}{960}+\frac{n^{4}}{24}-\frac{n^{3}}{12}-\frac{25 n^{2}}{24}+\frac{37 n}{12}-2 & \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) = 62
a(6) = 174
a(7) = 457
a(8) = 1158
a(9) = 2887
a(10) = 7159
a(11) = 17751
a(12) = 44110
a(n+5) = 1/24*n^4-5/12*n^3-37/24*n^2+8*a(n)-36*a(n+1)+50*a(n+2)-31*a(n+3)+9*a(n+4)+143/12*n-3, n >= 13
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) = 62
a \! \left(6\right) = 174
a \! \left(7\right) = 457
a \! \left(8\right) = 1158
a \! \left(9\right) = 2887
a \! \left(10\right) = 7159
a \! \left(11\right) = 17751
a \! \left(12\right) = 44110
a \! \left(n +5\right) = \frac{n^{4}}{24}-\frac{5 n^{3}}{12}-\frac{37 n^{2}}{24}+8 a \! \left(n \right)-36 a \! \left(n +1\right)+50 a \! \left(n +2\right)-31 a \! \left(n +3\right)+9 a \! \left(n +4\right)+\frac{143 n}{12}-3, \quad n \geq 13
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/15681/
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[28,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[20,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = F[10,x]+F[17,x]
F[17,x] = F[14,x]+F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[17,x]*F[4,x]
F[20,x] = F[21,x]+F[22,x]+F[27,x]
F[21,x] = 0
F[22,x] = F[23,x]*F[4,x]
F[23,x] = F[24,x]
F[24,x] = F[11,x]+F[25,x]
F[25,x] = F[26,x]
F[26,x] = F[24,x]*F[4,x]
F[27,x] = F[13,x]*F[4,x]
F[28,x] = F[29,x]+F[43,x]
F[29,x] = F[30,x]
F[30,x] = F[31,x]*F[4,x]
F[31,x] = F[32,x]+F[33,x]
F[32,x] = F[1,x]+F[14,x]
F[33,x] = F[29,x]+F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[36,x]*F[4,x]
F[36,x] = F[37,x]+F[40,x]
F[37,x] = F[29,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[37,x]*F[4,x]
F[40,x] = F[34,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[4,x]*F[40,x]
F[43,x] = F[21,x]+F[44,x]+F[65,x]
F[44,x] = F[4,x]*F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[47,x]+F[7,x]
F[47,x] = F[21,x]+F[22,x]+F[48,x]
F[48,x] = F[4,x]*F[49,x]
F[49,x] = F[13,x]+F[50,x]
F[50,x] = F[51,x]+F[57,x]
F[51,x] = F[21,x]+F[22,x]+F[52,x]
F[52,x] = F[4,x]*F[53,x]
F[53,x] = F[17,x]+F[54,x]
F[54,x] = F[51,x]+F[55,x]
F[55,x] = F[56,x]
F[56,x] = F[4,x]*F[54,x]
F[57,x] = F[21,x]+F[58,x]+F[63,x]+F[64,x]
F[58,x] = F[4,x]*F[59,x]
F[59,x] = F[60,x]
F[60,x] = F[25,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[4,x]*F[60,x]
F[63,x] = 0
F[64,x] = F[4,x]*F[50,x]
F[65,x] = F[4,x]*F[66,x]
F[66,x] = F[67,x]+F[73,x]
F[67,x] = F[29,x]+F[68,x]
F[68,x] = F[21,x]+F[69,x]+F[72,x]
F[69,x] = F[4,x]*F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[11,x]+F[20,x]
F[72,x] = F[4,x]*F[67,x]
F[73,x] = F[74,x]+F[83,x]
F[74,x] = F[21,x]+F[75,x]+F[78,x]
F[75,x] = F[4,x]*F[76,x]
F[76,x] = F[77,x]
F[77,x] = F[14,x]+F[51,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[37,x]+F[80,x]
F[80,x] = F[74,x]+F[81,x]
F[81,x] = F[82,x]
F[82,x] = F[4,x]*F[80,x]
F[83,x] = F[21,x]+F[84,x]+F[87,x]+F[88,x]
F[84,x] = F[4,x]*F[85,x]
F[85,x] = F[86,x]
F[86,x] = F[20,x]+F[57,x]
F[87,x] = 0
F[88,x] = F[4,x]*F[73,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_{28}\! \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_{20}\! \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_{10}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{14}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{17}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)+F_{27}\! \left(x \right)
F_{21}\! \left(x \right) = 0
F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{11}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{24}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{43}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \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_{33}\! \left(x \right)
F_{32}\! \left(x \right) = F_{1}\! \left(x \right)+F_{14}\! \left(x \right)
F_{33}\! \left(x \right) = F_{29}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{40}\! \left(x \right)
F_{37}\! \left(x \right) = F_{29}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{37}\! \left(x \right) F_{4}\! \left(x \right)
F_{40}\! \left(x \right) = F_{34}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{43}\! \left(x \right) = F_{21}\! \left(x \right)+F_{44}\! \left(x \right)+F_{65}\! \left(x \right)
F_{44}\! \left(x \right) = F_{4}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{7}\! \left(x \right)
F_{47}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{13}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{57}\! \left(x \right)
F_{51}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{17}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{51}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{57}\! \left(x \right) = F_{21}\! \left(x \right)+F_{58}\! \left(x \right)+F_{63}\! \left(x \right)+F_{64}\! \left(x \right)
F_{58}\! \left(x \right) = F_{4}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{25}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{4}\! \left(x \right) F_{60}\! \left(x \right)
F_{63}\! \left(x \right) = 0
F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{65}\! \left(x \right) = F_{4}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{73}\! \left(x \right)
F_{67}\! \left(x \right) = F_{29}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{21}\! \left(x \right)+F_{69}\! \left(x \right)+F_{72}\! \left(x \right)
F_{69}\! \left(x \right) = F_{4}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{11}\! \left(x \right)+F_{20}\! \left(x \right)
F_{72}\! \left(x \right) = F_{4}\! \left(x \right) F_{67}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{83}\! \left(x \right)
F_{74}\! \left(x \right) = F_{21}\! \left(x \right)+F_{75}\! \left(x \right)+F_{78}\! \left(x \right)
F_{75}\! \left(x \right) = F_{4}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{14}\! \left(x \right)+F_{51}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{37}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{74}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{4}\! \left(x \right) F_{80}\! \left(x \right)
F_{83}\! \left(x \right) = F_{21}\! \left(x \right)+F_{84}\! \left(x \right)+F_{87}\! \left(x \right)+F_{88}\! \left(x \right)
F_{84}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{20}\! \left(x \right)+F_{57}\! \left(x \right)
F_{87}\! \left(x \right) = 0
F_{88}\! \left(x \right) = F_{4}\! \left(x \right) F_{73}\! \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_28(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_20(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_10(x) + F_17(x))
Eq(F_17(x), F_14(x) + F_18(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_17(x)*F_4(x))
Eq(F_20(x), F_21(x) + F_22(x) + F_27(x))
Eq(F_21(x), 0)
Eq(F_22(x), F_23(x)*F_4(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_11(x) + F_25(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_24(x)*F_4(x))
Eq(F_27(x), F_13(x)*F_4(x))
Eq(F_28(x), F_29(x) + F_43(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_31(x)*F_4(x))
Eq(F_31(x), F_32(x) + F_33(x))
Eq(F_32(x), F_1(x) + F_14(x))
Eq(F_33(x), F_29(x) + F_34(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_36(x)*F_4(x))
Eq(F_36(x), F_37(x) + F_40(x))
Eq(F_37(x), F_29(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_37(x)*F_4(x))
Eq(F_40(x), F_34(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_4(x)*F_40(x))
Eq(F_43(x), F_21(x) + F_44(x) + F_65(x))
Eq(F_44(x), F_4(x)*F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_47(x) + F_7(x))
Eq(F_47(x), F_21(x) + F_22(x) + F_48(x))
Eq(F_48(x), F_4(x)*F_49(x))
Eq(F_49(x), F_13(x) + F_50(x))
Eq(F_50(x), F_51(x) + F_57(x))
Eq(F_51(x), F_21(x) + F_22(x) + F_52(x))
Eq(F_52(x), F_4(x)*F_53(x))
Eq(F_53(x), F_17(x) + F_54(x))
Eq(F_54(x), F_51(x) + F_55(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_4(x)*F_54(x))
Eq(F_57(x), F_21(x) + F_58(x) + F_63(x) + F_64(x))
Eq(F_58(x), F_4(x)*F_59(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_25(x) + F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_4(x)*F_60(x))
Eq(F_63(x), 0)
Eq(F_64(x), F_4(x)*F_50(x))
Eq(F_65(x), F_4(x)*F_66(x))
Eq(F_66(x), F_67(x) + F_73(x))
Eq(F_67(x), F_29(x) + F_68(x))
Eq(F_68(x), F_21(x) + F_69(x) + F_72(x))
Eq(F_69(x), F_4(x)*F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_11(x) + F_20(x))
Eq(F_72(x), F_4(x)*F_67(x))
Eq(F_73(x), F_74(x) + F_83(x))
Eq(F_74(x), F_21(x) + F_75(x) + F_78(x))
Eq(F_75(x), F_4(x)*F_76(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_14(x) + F_51(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_37(x) + F_80(x))
Eq(F_80(x), F_74(x) + F_81(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_4(x)*F_80(x))
Eq(F_83(x), F_21(x) + F_84(x) + F_87(x) + F_88(x))
Eq(F_84(x), F_4(x)*F_85(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_20(x) + F_57(x))
Eq(F_87(x), 0)
Eq(F_88(x), F_4(x)*F_73(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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