0213_1032_2301
Counting sequence:
1, 1, 2, 6, 21, 71, 222, 648, 1797, 4807, 12548, 32236, 82009, 207529, 524060, 1323540, 3348087, 8491157, 21600888, 55131630, 141172311, 362617861, 934098062, 2412413026, 6244420411, 16195018711, 42072199862, 109451155098, 285073305417, 743218623827, 1939213856418, 5063148655716, 13226609790009, 34567288589779, 90372176763560, 236334493335400, 618184626643117, 1617291673657237, 4231766248979168, 11074021343628720, 28982051444697771, 75855090560233121, 198548035863911772, 519716449264067946, 1360451778346913451, 3561331022520894001, 9322907970518168402, 24406091067266323198, 63892691219002048687, 167266493827693963747, 437895531265011414938, 1146397019019250005846, 3001248237996651210909, 7857250867578715159679, 20570306206355889964710, 53853262427522491388160, 140988652413880148026797, 369111001460658061383967, 966340893203580215582348, 2529904616505866868423460, 6623358544795212804098881, 17340141618381404069273281, 45397006358430759847676132, 118850755247231387147973516, 311155010352218406517295391, 814613768523961805391240941, 2132685262201998881921534592, 5583439915153210437484476198, 14617630203613007329915916607, 38269441988822608761354908317, 100190678053980508192979254358, 262302556165074483936538097626, 686716917244562459137134223459, 1797848046814068683081040338479, 4706826920966188686448693112510, 12322632102176854603211161215570, 32261068138859623645598454115377, 84460569783213581515454366586347, 221120636072846387538590653139178, 578901328008340386924140960987100, 1515583326795972929977821672460641, 3967848609462711806689988354322091, 10387962414549503477838842811657392, 27196038457682628963090680573544736, 71200152600656340805502963195944981, 186404418618930901684640704190580781, 488013101786082567597030072933083432, 1277634883760523581576003228132647848, 3344891543460530485614750771331625427, 8757039734396409987325118871233372537, 22926227634969898690653000344386003428, 60021643120376714493575981028510102306, 157138701624649161568673760199416112659, 411394461548072723691072173936483609929, 1077044682603621156304654989243928973210, 2819739585420991518508834206863898832630, 7382174071955947905165164373086572587607, 19326782627000427127616160227076657085627, 50598173802073255176428054599911531034658, 132467738765116725474128951481007112853390, 346805042464754782740823638309433985399301
Generating function in Maple syntax:
-(10*x^6-38*x^5+64*x^4-62*x^3+33*x^2-9*x+1)/(x^2-3*x+1)/(2*x-1)^2/(x-1)^3
Generating function in latex syntax:
-\frac{10 x^{6}-38 x^{5}+64 x^{4}-62 x^{3}+33 x^{2}-9 x +1}{\left(x^{2}-3 x +1\right) \left(2 x -1\right)^{2} \left(x -1\right)^{3}}
Generating function in sympy syntax:
(-10*x**6 + 38*x**5 - 64*x**4 + 62*x**3 - 33*x**2 + 9*x - 1)/((x - 1)**3*(2*x - 1)**2*(x**2 - 3*x + 1))
Implicit equation for the generating function in Maple syntax:
(x^2-3*x+1)*(2*x-1)^2*(x-1)^3*F(x)+10*x^6-38*x^5+64*x^4-62*x^3+33*x^2-9*x+1 = 0
Implicit equation for the generating function in latex syntax:
\left(x^{2}-3 x +1\right) \left(2 x -1\right)^{2} \left(x -1\right)^{3} F \! \left(x \right)+10 x^{6}-38 x^{5}+64 x^{4}-62 x^{3}+33 x^{2}-9 x +1 = 0
Explicit closed form in Maple syntax:
1/10*(-2*5^(1/2)+10)*(3/2-1/2*5^(1/2))^(-n)+1/10*(2*5^(1/2)+10)*(3/2+1/2*5^(1/2))^(-n)+1/10*(10*n-60)*2^n+1/2*n^2+7/2*n+5
Explicit closed form in latex syntax:
\frac{\left(-2 \sqrt{5}+10\right) \left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n}}{10}+\frac{\left(2 \sqrt{5}+10\right) \left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n}}{10}+\frac{\left(10 n -60\right) 2^{n}}{10}+\frac{n^{2}}{2}+\frac{7 n}{2}+5
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 21
a(5) = 71
a(6) = 222
a(n+4) = -1/2*n^2-4*a(n)+16*a(n+1)-17*a(n+2)+7*a(n+3)-5/2*n+1, 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) = 21
a \! \left(5\right) = 71
a \! \left(6\right) = 222
a \! \left(n +4\right) = -\frac{n^{2}}{2}-4 a \! \left(n \right)+16 a \! \left(n +1\right)-17 a \! \left(n +2\right)+7 a \! \left(n +3\right)-\frac{5 n}{2}+1, \quad n \geq 7
Specification 1
Strategy pack name: insertion_point_placements
Tree: http://permpal.com/tree/325/
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[8,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[16,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[8,x]*F[9,x]
F[8,x] = x
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[1,x]+F[6,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[8,x]*F[9,x]
F[13,x] = F[1,x]+F[14,x]
F[14,x] = F[15,x]
F[15,x] = F[13,x]*F[8,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]*F[8,x]
F[18,x] = F[19,x]+F[53,x]
F[19,x] = F[20,x]+F[30,x]
F[20,x] = F[21,x]+F[22,x]
F[21,x] = F[13,x]*F[14,x]
F[22,x] = F[23,x]
F[23,x] = F[13,x]^2*F[24,x]*F[8,x]
F[24,x] = F[25,x]
F[25,x] = F[26,x]*F[8,x]
F[26,x] = F[27,x]+F[28,x]
F[27,x] = F[1,x]+F[25,x]
F[28,x] = F[29,x]
F[29,x] = F[13,x]*F[26,x]*F[8,x]
F[30,x] = F[31,x]+F[32,x]
F[31,x] = F[10,x]*F[14,x]
F[32,x] = F[33,x]+F[51,x]
F[33,x] = F[34,x]
F[34,x] = F[35,x]*F[8,x]
F[35,x] = F[36,x]+F[40,x]
F[36,x] = F[13,x]*F[14,x]*F[37,x]
F[37,x] = F[1,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[37,x]*F[8,x]
F[40,x] = F[41,x]+F[44,x]
F[41,x] = F[42,x]+F[43,x]
F[42,x] = F[14,x]*F[27,x]
F[43,x] = F[13,x]*F[33,x]
F[44,x] = F[13,x]*F[14,x]*F[45,x]
F[45,x] = F[14,x]+F[46,x]
F[46,x] = F[47,x]+F[48,x]+F[50,x]
F[47,x] = 0
F[48,x] = F[49,x]*F[8,x]
F[49,x] = F[38,x]+F[46,x]
F[50,x] = F[45,x]*F[8,x]
F[51,x] = F[52,x]
F[52,x] = F[14,x]^3
F[53,x] = F[54,x]+F[55,x]
F[54,x] = F[20,x]*F[38,x]
F[55,x] = F[56,x]+F[72,x]
F[56,x] = F[13,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[59,x]*F[8,x]
F[59,x] = F[60,x]+F[62,x]
F[60,x] = F[31,x]+F[61,x]
F[61,x] = F[13,x]^2*F[14,x]
F[62,x] = F[13,x]*F[63,x]
F[63,x] = F[64,x]+F[65,x]
F[64,x] = F[14,x]*F[38,x]
F[65,x] = F[57,x]+F[66,x]
F[66,x] = F[14,x]*F[67,x]
F[67,x] = F[47,x]+F[68,x]+F[70,x]
F[68,x] = F[69,x]*F[8,x]
F[69,x] = F[14,x]+F[67,x]
F[70,x] = F[71,x]*F[8,x]
F[71,x] = F[38,x]+F[67,x]
F[72,x] = F[73,x]+F[86,x]
F[73,x] = F[74,x]
F[74,x] = F[75,x]*F[8,x]
F[75,x] = F[76,x]+F[78,x]
F[76,x] = F[77,x]
F[77,x] = F[24,x]*F[69,x]
F[78,x] = F[79,x]+F[82,x]
F[79,x] = F[33,x]+F[80,x]
F[80,x] = F[81,x]
F[81,x] = F[14,x]^2*F[24,x]
F[82,x] = F[83,x]+F[84,x]
F[83,x] = F[33,x]*F[38,x]
F[84,x] = F[85,x]
F[85,x] = F[14,x]*F[24,x]*F[67,x]
F[86,x] = F[87,x]
F[87,x] = F[14,x]^2*F[67,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_{8}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{16}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right) F_{9}\! \left(x \right)
F_{8}\! \left(x \right) = x
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{1}\! \left(x \right)+F_{6}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{8}\! \left(x \right) F_{9}\! \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_{13}\! \left(x \right) F_{8}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{8}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{53}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{30}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)
F_{21}\! \left(x \right) = F_{13}\! \left(x \right) F_{14}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{13} \left(x \right)^{2} F_{24}\! \left(x \right) F_{8}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right) F_{8}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{28}\! \left(x \right)
F_{27}\! \left(x \right) = F_{1}\! \left(x \right)+F_{25}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{13}\! \left(x \right) F_{26}\! \left(x \right) F_{8}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{32}\! \left(x \right)
F_{31}\! \left(x \right) = F_{10}\! \left(x \right) F_{14}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{51}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{8}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{40}\! \left(x \right)
F_{36}\! \left(x \right) = F_{13}\! \left(x \right) F_{14}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{1}\! \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_{8}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{44}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{43}\! \left(x \right)
F_{42}\! \left(x \right) = F_{14}\! \left(x \right) F_{27}\! \left(x \right)
F_{43}\! \left(x \right) = F_{13}\! \left(x \right) F_{33}\! \left(x \right)
F_{44}\! \left(x \right) = F_{13}\! \left(x \right) F_{14}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{14}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{48}\! \left(x \right)+F_{50}\! \left(x \right)
F_{47}\! \left(x \right) = 0
F_{48}\! \left(x \right) = F_{49}\! \left(x \right) F_{8}\! \left(x \right)
F_{49}\! \left(x \right) = F_{38}\! \left(x \right)+F_{46}\! \left(x \right)
F_{50}\! \left(x \right) = F_{45}\! \left(x \right) F_{8}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{14} \left(x \right)^{3}
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{55}\! \left(x \right)
F_{54}\! \left(x \right) = F_{20}\! \left(x \right) F_{38}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{72}\! \left(x \right)
F_{56}\! \left(x \right) = F_{13}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right) F_{8}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{62}\! \left(x \right)
F_{60}\! \left(x \right) = F_{31}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{13} \left(x \right)^{2} F_{14}\! \left(x \right)
F_{62}\! \left(x \right) = F_{13}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = F_{14}\! \left(x \right) F_{38}\! \left(x \right)
F_{65}\! \left(x \right) = F_{57}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{14}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{47}\! \left(x \right)+F_{68}\! \left(x \right)+F_{70}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right) F_{8}\! \left(x \right)
F_{69}\! \left(x \right) = F_{14}\! \left(x \right)+F_{67}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right) F_{8}\! \left(x \right)
F_{71}\! \left(x \right) = F_{38}\! \left(x \right)+F_{67}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{86}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right) F_{8}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{78}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{24}\! \left(x \right) F_{69}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{82}\! \left(x \right)
F_{79}\! \left(x \right) = F_{33}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{14} \left(x \right)^{2} F_{24}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)+F_{84}\! \left(x \right)
F_{83}\! \left(x \right) = F_{33}\! \left(x \right) F_{38}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{14}\! \left(x \right) F_{24}\! \left(x \right) F_{67}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{14} \left(x \right)^{2} F_{67}\! \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_8(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_16(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_8(x)*F_9(x))
Eq(F_8(x), x)
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_1(x) + F_6(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_8(x)*F_9(x))
Eq(F_13(x), F_1(x) + F_14(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_13(x)*F_8(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)*F_8(x))
Eq(F_18(x), F_19(x) + F_53(x))
Eq(F_19(x), F_20(x) + F_30(x))
Eq(F_20(x), F_21(x) + F_22(x))
Eq(F_21(x), F_13(x)*F_14(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_13(x)**2*F_24(x)*F_8(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_26(x)*F_8(x))
Eq(F_26(x), F_27(x) + F_28(x))
Eq(F_27(x), F_1(x) + F_25(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_13(x)*F_26(x)*F_8(x))
Eq(F_30(x), F_31(x) + F_32(x))
Eq(F_31(x), F_10(x)*F_14(x))
Eq(F_32(x), F_33(x) + F_51(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_35(x)*F_8(x))
Eq(F_35(x), F_36(x) + F_40(x))
Eq(F_36(x), F_13(x)*F_14(x)*F_37(x))
Eq(F_37(x), F_1(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_37(x)*F_8(x))
Eq(F_40(x), F_41(x) + F_44(x))
Eq(F_41(x), F_42(x) + F_43(x))
Eq(F_42(x), F_14(x)*F_27(x))
Eq(F_43(x), F_13(x)*F_33(x))
Eq(F_44(x), F_13(x)*F_14(x)*F_45(x))
Eq(F_45(x), F_14(x) + F_46(x))
Eq(F_46(x), F_47(x) + F_48(x) + F_50(x))
Eq(F_47(x), 0)
Eq(F_48(x), F_49(x)*F_8(x))
Eq(F_49(x), F_38(x) + F_46(x))
Eq(F_50(x), F_45(x)*F_8(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_14(x)**3)
Eq(F_53(x), F_54(x) + F_55(x))
Eq(F_54(x), F_20(x)*F_38(x))
Eq(F_55(x), F_56(x) + F_72(x))
Eq(F_56(x), F_13(x)*F_57(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_59(x)*F_8(x))
Eq(F_59(x), F_60(x) + F_62(x))
Eq(F_60(x), F_31(x) + F_61(x))
Eq(F_61(x), F_13(x)**2*F_14(x))
Eq(F_62(x), F_13(x)*F_63(x))
Eq(F_63(x), F_64(x) + F_65(x))
Eq(F_64(x), F_14(x)*F_38(x))
Eq(F_65(x), F_57(x) + F_66(x))
Eq(F_66(x), F_14(x)*F_67(x))
Eq(F_67(x), F_47(x) + F_68(x) + F_70(x))
Eq(F_68(x), F_69(x)*F_8(x))
Eq(F_69(x), F_14(x) + F_67(x))
Eq(F_70(x), F_71(x)*F_8(x))
Eq(F_71(x), F_38(x) + F_67(x))
Eq(F_72(x), F_73(x) + F_86(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_75(x)*F_8(x))
Eq(F_75(x), F_76(x) + F_78(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_24(x)*F_69(x))
Eq(F_78(x), F_79(x) + F_82(x))
Eq(F_79(x), F_33(x) + F_80(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_14(x)**2*F_24(x))
Eq(F_82(x), F_83(x) + F_84(x))
Eq(F_83(x), F_33(x)*F_38(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_14(x)*F_24(x)*F_67(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_14(x)**2*F_67(x))
Pack JSON:
{"expansion_strats": [[{"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}, {"class_module": "tilings.strategies.requirement_insertion", "extra_basis": [], "ignore_parent": true, "maxreqlen": 1, "one_cell_only": true, "strategy_class": "CellInsertionFactory"}], "iterative": false, "name": "insertion_point_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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