0132_0213_2130_3102
Counting sequence:
1, 1, 2, 6, 20, 62, 175, 465, 1193, 3002, 7479, 18552, 45978, 114092, 283854, 708657, 1776200, 4470587, 11299855, 28679595, 73076159, 186879092, 479500437, 1233993306, 3184075680, 8234872262, 21340186380, 55396665555, 144013047038, 374847313877, 976686912589, 2547009365757, 6646859326133, 17356390302542, 45343391558019, 118506549083052, 309822457760790, 810213499890512, 2119241788913850, 5544191857132005, 14506350165659684, 37960187031564767, 99343424603457787, 260005559190154431, 680538150475743515, 1781326317748738712, 4662850365026357985, 12205992224795599470, 31952555651174701308, 83646317908077981002, 218975244627107083224, 573256211879850685287, 1500745153238311185338, 3928879042743373878617, 10285683964984021277209, 26927741351069392518897, 70496645560748169816305, 184560342099928453972562, 483180543672154672440495, 1264973349070392509166240, 3311723083414781462231634, 8670161962047160013472692, 22698692690687699674306662, 59425771346309516812225881, 155578322597455969513150400, 407308580209514179367518787, 1066346147511588491844040615, 2791727244040514334015122835, 7308830191243155959371176503, 19134752224749021170948336252, 50095403627488000227339382509, 131151411636964335625422744642, 343358734585572572263459282968, 898924593337639242870826892942, 2353414636942644388124710413924, 6161318478384799496603220443067, 16130539075138283664623153570870, 42230295209977555827901975214237, 110560339296517099648438078624165, 289450707789952222629420901877925, 757791753538517890004698675254509, 1983924490225911350464658171134742, 5193981588841963554786754672460187, 13598020013434171411439674671075156, 35600077913035213768666800656005710, 93202212623131122406018919964913112, 244006557699293648228877290062306770, 638817455855444265533114873669712525, 1672445800415657090623296443093950748, 4378519926058385299059624693710977127, 11463113938222788801878745108448204819, 30010821807776365103864045494079889447, 78569351319879996891342792808348981523, 205697231814215479855076862952230927392, 538522343432924355782109637860806831289, 1409869797075472337774667952726261423062, 3691087044915901036223027771314963183860, 9663391331796967344446000576547384566162, 25299086938481837896518209855104475037360, 66233869459171995888358090193460556393935, 173402521389090696823626678914746926456434
Generating function in Maple syntax:
-(5*x^10-22*x^9+24*x^8+17*x^7-86*x^6+163*x^5-187*x^4+128*x^3-51*x^2+11*x-1)/(x^2-3*x+1)/(2*x-1)^3/(x-1)^3
Generating function in latex syntax:
-\frac{5 x^{10}-22 x^{9}+24 x^{8}+17 x^{7}-86 x^{6}+163 x^{5}-187 x^{4}+128 x^{3}-51 x^{2}+11 x -1}{\left(x^{2}-3 x +1\right) \left(2 x -1\right)^{3} \left(x -1\right)^{3}}
Generating function in sympy syntax:
(-5*x**10 + 22*x**9 - 24*x**8 - 17*x**7 + 86*x**6 - 163*x**5 + 187*x**4 - 128*x**3 + 51*x**2 - 11*x + 1)/((x - 1)**3*(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)^3*F(x)+5*x^10-22*x^9+24*x^8+17*x^7-86*x^6+163*x^5-187*x^4+128*x^3-51*x^2+11*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)^{3} F \! \left(x \right)+5 x^{10}-22 x^{9}+24 x^{8}+17 x^{7}-86 x^{6}+163 x^{5}-187 x^{4}+128 x^{3}-51 x^{2}+11 x -1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,n = 2,2,1/320*(-32*5^(1/2)+160)*(3/2-1/2*5^(1/2))^(-n)+1/320*(32*5^(1/2)+160)*(3/2+1/2*5^(1/2))^(-n)+1/320*(5*n^2+45*n+100)*2^n-1/2*n^2-3/2*n+3)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ 2 & n =2 \\ \frac{\left(-32 \sqrt{5}+160\right) \left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n}}{320}+\frac{\left(32 \sqrt{5}+160\right) \left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n}}{320}+\\\frac{\left(5 n^{2}+45 n +100\right) 2^{n}}{320}-\frac{n^{2}}{2}-\frac{3 n}{2}+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) = 62
a(6) = 175
a(7) = 465
a(8) = 1193
a(9) = 3002
a(10) = 7479
a(n+5) = -1/2*n^2+8*a(n)-36*a(n+1)+50*a(n+2)-31*a(n+3)+9*a(n+4)+1/2*n+8, n >= 11
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) = 175
a \! \left(7\right) = 465
a \! \left(8\right) = 1193
a \! \left(9\right) = 3002
a \! \left(10\right) = 7479
a \! \left(n +5\right) = -\frac{n^{2}}{2}+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{n}{2}+8, \quad n \geq 11
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/15301/
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[16,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[7,x]
F[14,x] = F[15,x]
F[15,x] = F[13,x]*F[4,x]
F[16,x] = F[17,x]+F[30,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]*F[4,x]
F[19,x] = F[20,x]+F[6,x]
F[20,x] = F[17,x]+F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[23,x]*F[4,x]
F[23,x] = F[24,x]+F[27,x]
F[24,x] = F[17,x]+F[25,x]
F[25,x] = F[26,x]
F[26,x] = F[24,x]*F[4,x]
F[27,x] = F[21,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[27,x]*F[4,x]
F[30,x] = F[31,x]+F[32,x]+F[67,x]
F[31,x] = 0
F[32,x] = F[33,x]*F[4,x]
F[33,x] = F[34,x]+F[46,x]
F[34,x] = F[35,x]+F[7,x]
F[35,x] = F[31,x]+F[36,x]+F[41,x]
F[36,x] = F[37,x]*F[4,x]
F[37,x] = F[38,x]
F[38,x] = F[11,x]+F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[38,x]*F[4,x]
F[41,x] = F[4,x]*F[42,x]
F[42,x] = F[13,x]+F[43,x]
F[43,x] = F[35,x]+F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[4,x]*F[43,x]
F[46,x] = F[47,x]+F[66,x]
F[47,x] = F[48,x]
F[48,x] = F[4,x]*F[49,x]
F[49,x] = F[50,x]+F[52,x]
F[50,x] = F[51,x]+F[7,x]
F[51,x] = F[36,x]
F[52,x] = F[47,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[4,x]*F[55,x]
F[55,x] = F[56,x]
F[56,x] = F[57,x]+F[64,x]
F[57,x] = F[58,x]
F[58,x] = F[4,x]*F[59,x]
F[59,x] = F[60,x]+F[62,x]
F[60,x] = F[11,x]+F[61,x]
F[61,x] = F[36,x]
F[62,x] = F[57,x]+F[63,x]
F[63,x] = F[54,x]
F[64,x] = F[65,x]
F[65,x] = F[4,x]*F[56,x]
F[66,x] = F[54,x]
F[67,x] = F[4,x]*F[68,x]
F[68,x] = F[69,x]+F[78,x]
F[69,x] = F[17,x]+F[70,x]
F[70,x] = F[31,x]+F[71,x]+F[77,x]
F[71,x] = F[4,x]*F[72,x]
F[72,x] = F[73,x]+F[75,x]
F[73,x] = F[11,x]+F[74,x]
F[74,x] = F[15,x]+F[31,x]+F[36,x]
F[75,x] = F[57,x]+F[76,x]
F[76,x] = F[54,x]
F[77,x] = F[4,x]*F[69,x]
F[78,x] = F[79,x]+F[87,x]
F[79,x] = F[31,x]+F[80,x]+F[82,x]
F[80,x] = F[4,x]*F[81,x]
F[81,x] = F[34,x]
F[82,x] = F[4,x]*F[83,x]
F[83,x] = F[24,x]+F[84,x]
F[84,x] = F[79,x]+F[85,x]
F[85,x] = F[86,x]
F[86,x] = F[4,x]*F[84,x]
F[87,x] = 2*F[31,x]+F[88,x]+F[92,x]
F[88,x] = F[4,x]*F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[14,x]+F[91,x]
F[91,x] = F[45,x]
F[92,x] = F[4,x]*F[78,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_{16}\! \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_{7}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{30}\! \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_{6}\! \left(x \right)
F_{20}\! \left(x \right) = F_{17}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
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_{27}\! \left(x \right)
F_{24}\! \left(x \right) = F_{17}\! \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_{21}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{32}\! \left(x \right)+F_{67}\! \left(x \right)
F_{31}\! \left(x \right) = 0
F_{32}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{46}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{7}\! \left(x \right)
F_{35}\! \left(x \right) = F_{31}\! \left(x \right)+F_{36}\! \left(x \right)+F_{41}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right) F_{4}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{11}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right)
F_{41}\! \left(x \right) = F_{4}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{13}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{35}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{4}\! \left(x \right) F_{43}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{66}\! \left(x \right)
F_{47}\! \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_{50}\! \left(x \right)+F_{52}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{7}\! \left(x \right)
F_{51}\! \left(x \right) = F_{36}\! \left(x \right)
F_{52}\! \left(x \right) = F_{47}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{4}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{64}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \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_{62}\! \left(x \right)
F_{60}\! \left(x \right) = F_{11}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{36}\! \left(x \right)
F_{62}\! \left(x \right) = F_{57}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{54}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{4}\! \left(x \right) F_{56}\! \left(x \right)
F_{66}\! \left(x \right) = F_{54}\! \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_{78}\! \left(x \right)
F_{69}\! \left(x \right) = F_{17}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{31}\! \left(x \right)+F_{71}\! \left(x \right)+F_{77}\! \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_{75}\! \left(x \right)
F_{73}\! \left(x \right) = F_{11}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{15}\! \left(x \right)+F_{31}\! \left(x \right)+F_{36}\! \left(x \right)
F_{75}\! \left(x \right) = F_{57}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{54}\! \left(x \right)
F_{77}\! \left(x \right) = F_{4}\! \left(x \right) F_{69}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{87}\! \left(x \right)
F_{79}\! \left(x \right) = F_{31}\! \left(x \right)+F_{80}\! \left(x \right)+F_{82}\! \left(x \right)
F_{80}\! \left(x \right) = F_{4}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{34}\! \left(x \right)
F_{82}\! \left(x \right) = F_{4}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{24}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{79}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{4}\! \left(x \right) F_{84}\! \left(x \right)
F_{87}\! \left(x \right) = 2 F_{31}\! \left(x \right)+F_{88}\! \left(x \right)+F_{92}\! \left(x \right)
F_{88}\! \left(x \right) = F_{4}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{14}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{45}\! \left(x \right)
F_{92}\! \left(x \right) = F_{4}\! \left(x \right) F_{78}\! \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_16(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_7(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_13(x)*F_4(x))
Eq(F_16(x), F_17(x) + F_30(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_6(x))
Eq(F_20(x), F_17(x) + F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_23(x)*F_4(x))
Eq(F_23(x), F_24(x) + F_27(x))
Eq(F_24(x), F_17(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_21(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_27(x)*F_4(x))
Eq(F_30(x), F_31(x) + F_32(x) + F_67(x))
Eq(F_31(x), 0)
Eq(F_32(x), F_33(x)*F_4(x))
Eq(F_33(x), F_34(x) + F_46(x))
Eq(F_34(x), F_35(x) + F_7(x))
Eq(F_35(x), F_31(x) + F_36(x) + F_41(x))
Eq(F_36(x), F_37(x)*F_4(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_11(x) + F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_38(x)*F_4(x))
Eq(F_41(x), F_4(x)*F_42(x))
Eq(F_42(x), F_13(x) + F_43(x))
Eq(F_43(x), F_35(x) + F_44(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_4(x)*F_43(x))
Eq(F_46(x), F_47(x) + F_66(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_4(x)*F_49(x))
Eq(F_49(x), F_50(x) + F_52(x))
Eq(F_50(x), F_51(x) + F_7(x))
Eq(F_51(x), F_36(x))
Eq(F_52(x), F_47(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_4(x)*F_55(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_57(x) + F_64(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_4(x)*F_59(x))
Eq(F_59(x), F_60(x) + F_62(x))
Eq(F_60(x), F_11(x) + F_61(x))
Eq(F_61(x), F_36(x))
Eq(F_62(x), F_57(x) + F_63(x))
Eq(F_63(x), F_54(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_4(x)*F_56(x))
Eq(F_66(x), F_54(x))
Eq(F_67(x), F_4(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_78(x))
Eq(F_69(x), F_17(x) + F_70(x))
Eq(F_70(x), F_31(x) + F_71(x) + F_77(x))
Eq(F_71(x), F_4(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_75(x))
Eq(F_73(x), F_11(x) + F_74(x))
Eq(F_74(x), F_15(x) + F_31(x) + F_36(x))
Eq(F_75(x), F_57(x) + F_76(x))
Eq(F_76(x), F_54(x))
Eq(F_77(x), F_4(x)*F_69(x))
Eq(F_78(x), F_79(x) + F_87(x))
Eq(F_79(x), F_31(x) + F_80(x) + F_82(x))
Eq(F_80(x), F_4(x)*F_81(x))
Eq(F_81(x), F_34(x))
Eq(F_82(x), F_4(x)*F_83(x))
Eq(F_83(x), F_24(x) + F_84(x))
Eq(F_84(x), F_79(x) + F_85(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_4(x)*F_84(x))
Eq(F_87(x), 2*F_31(x) + F_88(x) + F_92(x))
Eq(F_88(x), F_4(x)*F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_14(x) + F_91(x))
Eq(F_91(x), F_45(x))
Eq(F_92(x), F_4(x)*F_78(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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