0132_1320_2301
Counting sequence:
1, 1, 2, 6, 21, 73, 240, 748, 2240, 6525, 18653, 52640, 147210, 408957, 1130398, 3112172, 8540753, 23375439, 63830072, 173949534, 473211976, 1285299971, 3486071977, 9442928926, 25548319586, 69046732343, 186416183910, 502821645418, 1355067144205, 3648781579445, 9817397466928, 26395234426160, 70917388313760, 190411817541577, 510932569141413, 1370172369858492, 3672325180557898, 9837230022269809, 26337887617615262, 70481539814466504, 188523461326607001, 504033788244969691, 1346995731268408152, 3598261395305133346, 9608293496509882376, 25646824031045038863, 68432283967177394705, 182530130249230065338, 486698290954003341570, 1297305157570136555115, 3456898172086241375878, 9208691773983247759430, 24523403123942670680885, 65288892541837656989697, 173771172233569902764528, 462380940159078152317812, 1230012694008683627359168, 3271223954154624593489429, 8697718541538728161618477, 23120542941395725034171224, 61445684650309810322842826, 163263222697468442861506661, 433702343850007989509431902, 1151872177811897450179444516, 3058640934902876158712228641, 8120202491583121485280833383, 21553695383976781858990291000, 57199918318828342281091686758, 151771434685374561916920093960, 402631476380519687930753771035, 1067948891199204242031123165753, 2832175796655353961579199924950, 7509634400043472767621094378210, 19908934507276352982252646609567, 52772734530732245356410506518118, 139863758205597888736396470078882, 370626442034424912140888388774813, 981984784612645082935440263785549, 2601427659981162085193359039220592, 6890628223111049251116288034469944, 18249347344439400291316617645836576, 48325754787538071686393422820470881, 127954049614777928880478454692463477, 338746450868669674319519180382712436, 896689340829040932239281370781370506, 2373323628317590825878225287463192153, 6280883676378499114395434757088968670, 16620131740873400114271382391346460928, 43974322434134071637194748307302491625, 116336463885111746800449998660483795955, 307741143303980223112335283906383859928, 813971559951428411073048153091087388970, 2152721244241014936358284694163177260360, 5692750701918527718200097495617471963687, 15052658741263354312546121592275123142433, 39798050631968506302073746353196725049202, 105212840605179339987120299362596053619458, 278121688425074165236672935306246419934419, 735124528944000128020982109291428770814982, 1942887593987252870061881285033444830156414, 5134473035484702235410887556132241423858501
Generating function in Maple syntax:
-(3*x^8-30*x^7+104*x^6-183*x^5+195*x^4-129*x^3+51*x^2-11*x+1)/(2*x-1)/(x^2-3*x+1)^2/(x-1)^4
Generating function in latex syntax:
-\frac{3 x^{8}-30 x^{7}+104 x^{6}-183 x^{5}+195 x^{4}-129 x^{3}+51 x^{2}-11 x +1}{\left(2 x -1\right) \left(x^{2}-3 x +1\right)^{2} \left(x -1\right)^{4}}
Generating function in sympy syntax:
(-3*x**8 + 30*x**7 - 104*x**6 + 183*x**5 - 195*x**4 + 129*x**3 - 51*x**2 + 11*x - 1)/((x - 1)**4*(2*x - 1)*(x**2 - 3*x + 1)**2)
Implicit equation for the generating function in Maple syntax:
(2*x-1)*(x^2-3*x+1)^2*(x-1)^4*F(x)+3*x^8-30*x^7+104*x^6-183*x^5+195*x^4-129*x^3+51*x^2-11*x+1 = 0
Implicit equation for the generating function in latex syntax:
\left(2 x -1\right) \left(x^{2}-3 x +1\right)^{2} \left(x -1\right)^{4} F \! \left(x \right)+3 x^{8}-30 x^{7}+104 x^{6}-183 x^{5}+195 x^{4}-129 x^{3}+51 x^{2}-11 x +1 = 0
Explicit closed form in Maple syntax:
1/150*((-15*n+3)*5^(1/2)+45*n+75)*(3/2-1/2*5^(1/2))^(-n)+1/150*((15*n-3)*5^(1/2)+45*n+75)*(3/2+1/2*5^(1/2))^(-n)-1/6*n^3+1/2*n^2-1/3*n-2^n+1
Explicit closed form in latex syntax:
\frac{\left(\left(-15 n +3\right) \sqrt{5}+45 n +75\right) \left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n}}{150}+\frac{\left(\left(15 n -3\right) \sqrt{5}+45 n +75\right) \left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n}}{150}-\frac{n^{3}}{6}+\frac{n^{2}}{2}-\frac{n}{3}-2^{n}+1
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 21
a(5) = 73
a(6) = 240
a(7) = 748
a(8) = 2240
a(n+5) = 2*a(n)-13*a(n+1)+28*a(n+2)-23*a(n+3)+8*a(n+4)+1/6*(n+4)*(n^2-4*n-3), 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) = 21
a \! \left(5\right) = 73
a \! \left(6\right) = 240
a \! \left(7\right) = 748
a \! \left(8\right) = 2240
a \! \left(n +5\right) = 2 a \! \left(n \right)-13 a \! \left(n +1\right)+28 a \! \left(n +2\right)-23 a \! \left(n +3\right)+8 a \! \left(n +4\right)+\frac{\left(n +4\right) \left(n^{2}-4 n -3\right)}{6}, \quad n \geq 9
Specification 1
Strategy pack name: insertion_row_placements
Tree: http://permpal.com/tree/300/
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[16,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]+F[8,x]+F[80,x]
F[7,x] = 0
F[8,x] = F[16,x]*F[9,x]
F[9,x] = F[10,x]+F[25,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]+F[23,x]
F[12,x] = F[13,x]*F[21,x]
F[13,x] = F[1,x]+F[14,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]*F[17,x]
F[16,x] = x
F[17,x] = F[13,x]+F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[16,x]*F[17,x]*F[20,x]
F[20,x] = F[1,x]+F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[16,x]*F[20,x]
F[23,x] = F[24,x]
F[24,x] = F[20,x]^2*F[14,x]*F[16,x]
F[25,x] = F[26,x]+F[44,x]
F[26,x] = F[27,x]+F[40,x]+F[7,x]
F[27,x] = F[16,x]*F[28,x]
F[28,x] = F[29,x]+F[32,x]
F[29,x] = F[30,x]
F[30,x] = F[14,x]+F[31,x]
F[31,x] = F[16,x]*F[21,x]
F[32,x] = F[26,x]+F[33,x]
F[33,x] = 2*F[7,x]+F[34,x]+F[38,x]
F[34,x] = F[16,x]*F[35,x]
F[35,x] = F[36,x]+F[37,x]
F[36,x] = F[31,x]
F[37,x] = F[33,x]
F[38,x] = F[39,x]
F[39,x] = F[16,x]^2*F[20,x]*F[21,x]
F[40,x] = F[41,x]
F[41,x] = F[16,x]*F[20,x]*F[21,x]*F[42,x]
F[42,x] = F[1,x]+F[43,x]
F[43,x] = F[16,x]*F[42,x]
F[44,x] = 2*F[7,x]+F[45,x]+F[72,x]
F[45,x] = F[16,x]*F[46,x]
F[46,x] = F[47,x]+F[55,x]
F[47,x] = F[48,x]
F[48,x] = F[21,x]*F[49,x]
F[49,x] = F[14,x]+F[50,x]
F[50,x] = F[51,x]+F[52,x]+F[7,x]
F[51,x] = F[14,x]*F[16,x]
F[52,x] = F[53,x]
F[53,x] = F[16,x]*F[20,x]*F[54,x]
F[54,x] = F[16,x]+F[50,x]
F[55,x] = F[44,x]+F[56,x]
F[56,x] = 3*F[7,x]+F[57,x]+F[62,x]
F[57,x] = F[16,x]*F[58,x]
F[58,x] = F[59,x]+F[61,x]
F[59,x] = F[60,x]
F[60,x] = F[21,x]*F[50,x]
F[61,x] = F[56,x]
F[62,x] = F[63,x]
F[63,x] = F[16,x]*F[20,x]*F[64,x]
F[64,x] = 2*F[7,x]+F[65,x]+F[67,x]
F[65,x] = F[16,x]*F[66,x]
F[66,x] = F[50,x]+F[64,x]
F[67,x] = F[68,x]
F[68,x] = F[16,x]*F[20,x]*F[69,x]
F[69,x] = F[64,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[16,x]*F[21,x]
F[72,x] = F[73,x]
F[73,x] = F[16,x]*F[20,x]*F[74,x]
F[74,x] = F[7,x]+F[75,x]+F[77,x]
F[75,x] = F[16,x]*F[76,x]
F[76,x] = F[14,x]+F[74,x]
F[77,x] = F[78,x]
F[78,x] = F[16,x]*F[20,x]*F[79,x]
F[79,x] = F[21,x]+F[74,x]
F[80,x] = F[81,x]
F[81,x] = F[16,x]*F[20,x]*F[82,x]
F[82,x] = F[23,x]+F[83,x]
F[83,x] = F[13,x]*F[21,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_{16}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)+F_{8}\! \left(x \right)+F_{80}\! \left(x \right)
F_{7}\! \left(x \right) = 0
F_{8}\! \left(x \right) = F_{16}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{25}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{23}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{21}\! \left(x \right)
F_{13}\! \left(x \right) = F_{1}\! \left(x \right)+F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{17}\! \left(x \right)
F_{16}\! \left(x \right) = x
F_{17}\! \left(x \right) = F_{13}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{16}\! \left(x \right) F_{17}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{1}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{16}\! \left(x \right) F_{20}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{20} \left(x \right)^{2} F_{14}\! \left(x \right) F_{16}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{44}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{40}\! \left(x \right)+F_{7}\! \left(x \right)
F_{27}\! \left(x \right) = F_{16}\! \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_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{14}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{16}\! \left(x \right) F_{21}\! \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_{7}\! \left(x \right)+F_{34}\! \left(x \right)+F_{38}\! \left(x \right)
F_{34}\! \left(x \right) = F_{16}\! \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_{31}\! \left(x \right)
F_{37}\! \left(x \right) = F_{33}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{16} \left(x \right)^{2} F_{20}\! \left(x \right) F_{21}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{16}\! \left(x \right) F_{20}\! \left(x \right) F_{21}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{1}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{16}\! \left(x \right) F_{42}\! \left(x \right)
F_{44}\! \left(x \right) = 2 F_{7}\! \left(x \right)+F_{45}\! \left(x \right)+F_{72}\! \left(x \right)
F_{45}\! \left(x \right) = F_{16}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{55}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{21}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{14}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{52}\! \left(x \right)+F_{7}\! \left(x \right)
F_{51}\! \left(x \right) = F_{14}\! \left(x \right) F_{16}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{16}\! \left(x \right) F_{20}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{16}\! \left(x \right)+F_{50}\! \left(x \right)
F_{55}\! \left(x \right) = F_{44}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = 3 F_{7}\! \left(x \right)+F_{57}\! \left(x \right)+F_{62}\! \left(x \right)
F_{57}\! \left(x \right) = F_{16}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{61}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{21}\! \left(x \right) F_{50}\! \left(x \right)
F_{61}\! \left(x \right) = F_{56}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{16}\! \left(x \right) F_{20}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = 2 F_{7}\! \left(x \right)+F_{65}\! \left(x \right)+F_{67}\! \left(x \right)
F_{65}\! \left(x \right) = F_{16}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{50}\! \left(x \right)+F_{64}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{16}\! \left(x \right) F_{20}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{64}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{16}\! \left(x \right) F_{21}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{16}\! \left(x \right) F_{20}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{7}\! \left(x \right)+F_{75}\! \left(x \right)+F_{77}\! \left(x \right)
F_{75}\! \left(x \right) = F_{16}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{14}\! \left(x \right)+F_{74}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{16}\! \left(x \right) F_{20}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{21}\! \left(x \right)+F_{74}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{16}\! \left(x \right) F_{20}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{23}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{13}\! \left(x \right) F_{21}\! \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_16(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x) + F_8(x) + F_80(x))
Eq(F_7(x), 0)
Eq(F_8(x), F_16(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_25(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x) + F_23(x))
Eq(F_12(x), F_13(x)*F_21(x))
Eq(F_13(x), F_1(x) + F_14(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x)*F_17(x))
Eq(F_16(x), x)
Eq(F_17(x), F_13(x) + F_18(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_16(x)*F_17(x)*F_20(x))
Eq(F_20(x), F_1(x) + F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_16(x)*F_20(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_14(x)*F_16(x)*F_20(x)**2)
Eq(F_25(x), F_26(x) + F_44(x))
Eq(F_26(x), F_27(x) + F_40(x) + F_7(x))
Eq(F_27(x), F_16(x)*F_28(x))
Eq(F_28(x), F_29(x) + F_32(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_14(x) + F_31(x))
Eq(F_31(x), F_16(x)*F_21(x))
Eq(F_32(x), F_26(x) + F_33(x))
Eq(F_33(x), F_34(x) + F_38(x) + 2*F_7(x))
Eq(F_34(x), F_16(x)*F_35(x))
Eq(F_35(x), F_36(x) + F_37(x))
Eq(F_36(x), F_31(x))
Eq(F_37(x), F_33(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_16(x)**2*F_20(x)*F_21(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_16(x)*F_20(x)*F_21(x)*F_42(x))
Eq(F_42(x), F_1(x) + F_43(x))
Eq(F_43(x), F_16(x)*F_42(x))
Eq(F_44(x), F_45(x) + 2*F_7(x) + F_72(x))
Eq(F_45(x), F_16(x)*F_46(x))
Eq(F_46(x), F_47(x) + F_55(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_21(x)*F_49(x))
Eq(F_49(x), F_14(x) + F_50(x))
Eq(F_50(x), F_51(x) + F_52(x) + F_7(x))
Eq(F_51(x), F_14(x)*F_16(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_16(x)*F_20(x)*F_54(x))
Eq(F_54(x), F_16(x) + F_50(x))
Eq(F_55(x), F_44(x) + F_56(x))
Eq(F_56(x), F_57(x) + F_62(x) + 3*F_7(x))
Eq(F_57(x), F_16(x)*F_58(x))
Eq(F_58(x), F_59(x) + F_61(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_21(x)*F_50(x))
Eq(F_61(x), F_56(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_16(x)*F_20(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_67(x) + 2*F_7(x))
Eq(F_65(x), F_16(x)*F_66(x))
Eq(F_66(x), F_50(x) + F_64(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_16(x)*F_20(x)*F_69(x))
Eq(F_69(x), F_64(x) + F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_16(x)*F_21(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_16(x)*F_20(x)*F_74(x))
Eq(F_74(x), F_7(x) + F_75(x) + F_77(x))
Eq(F_75(x), F_16(x)*F_76(x))
Eq(F_76(x), F_14(x) + F_74(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_16(x)*F_20(x)*F_79(x))
Eq(F_79(x), F_21(x) + F_74(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_16(x)*F_20(x)*F_82(x))
Eq(F_82(x), F_23(x) + F_83(x))
Eq(F_83(x), F_13(x)*F_21(x))
Pack JSON:
{"expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "dirs": [0, 1, 2, 3], "ignore_parent": false, "partial": false, "place_col": false, "place_row": true, "strategy_class": "RowAndColumnPlacementFactory"}]], "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}, {"class_module": "tilings.strategies.requirement_insertion", "extra_basis": [], "ignore_parent": true, "maxreqlen": 1, "one_cell_only": true, "strategy_class": "CellInsertionFactory"}], "iterative": false, "name": "insertion_row_placements", "symmetries": [], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "ignore_parent": true, "strategy_class": "InsertionEncodingVerificationStrategy"}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": true, "strategy_class": "OneByOneVerificationStrategy", "symmetry": false}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": true, "strategy_class": "LocallyFactorableVerificationStrategy", "symmetry": false}]}
Specification JSON:
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