0132_0213_0231_0321_3102
Counting sequence:
1, 1, 2, 6, 19, 55, 149, 394, 1032, 2692, 7013, 18269, 47611, 124148, 323902, 845490, 2207991, 5768371, 15074801, 39406782, 103036900, 269464272, 704827337, 1843851897, 4824156983, 12622947688, 33032177466, 86445996062, 226244962011, 592154683887, 1549923088781, 4056961731954, 10619522199936, 27798429052636, 72768760476973, 190492403509077, 498674376496563, 1305455574392156, 3417526594633718, 8946758631862858, 23421942994074047, 61317291984551403, 160526010650318185, 420252089040998310, 1100211176256059100, 2880339356984681640, 7540714078287586193, 19741598164840659953, 51683628907417062255, 135308292723365464272, 354239052881551788402, 927404021650217485110, 2427962327692910772643, 6356459396295007501991, 16641363886654024655749, 43567517630214702415706, 114060936171951847161336, 298614733247026281130548, 781782033658445516305141, 2046728655074909072504397, 5358397948620864752709227, 14028451994986169808700356, 36726928932081212724265390, 96152270609799187517343970, 251729741318598272757339783, 659036641084303044664695331, 1725379493219467408210034145, 4517100319565694196841556110, 11825918115199112629976952020, 30960646636759795135387223424, 81056005497528170677656714073, 212207333910442010148189228137, 555565916953760597710421512359, 1454490242093213156771568388664, 3807904423665242913431876122282, 9969222178301206403122755457358, 26099760235178131308922274287723, 68330054389452061590443427950175, 178890393807014492415605426130557, 468341106903204048575753567614786, 1226132882508041793217216071604592, 3210057442705646049840213653548172, 8404039229649958426751443618911421, 22002059769931797511215715457819717, 57602139029605295387263218270164003, 150804355001844873281756989113776172, 394810920865538462001175446848005734, 1033628396323448649088472262499539578, 2706074243245124542628830212550313807, 7084594278582168231070363816727644507, 18547708471570544791493655031854403417, 48558530869408112482597977739178833782, 127127883548381328586947376547944876492, 332825118478260109780449742423403136344, 871347469024726120098000408220102481697, 2281217282284300025131395695594842985441, 5972304363907461741034080695799051168479, 15635695778734987888790232983769397856672, 40934782904579689081593235652801255751394, 107168652785647741454240602786453220790886, 280571175122947762168450216922163196744499
Generating function in Maple syntax:
(x^8-3*x^7-x^6+8*x^5-7*x^4+12*x^3-13*x^2+6*x-1)/(x^2-3*x+1)/(x^3+2*x-1)/(x-1)^2
Generating function in latex syntax:
\frac{x^{8}-3 x^{7}-x^{6}+8 x^{5}-7 x^{4}+12 x^{3}-13 x^{2}+6 x -1}{\left(x^{2}-3 x +1\right) \left(x^{3}+2 x -1\right) \left(x -1\right)^{2}}
Generating function in sympy syntax:
(x**8 - 3*x**7 - x**6 + 8*x**5 - 7*x**4 + 12*x**3 - 13*x**2 + 6*x - 1)/((x - 1)**2*(x**2 - 3*x + 1)*(x**3 + 2*x - 1))
Implicit equation for the generating function in Maple syntax:
-(x^2-3*x+1)*(x^3+2*x-1)*(x-1)^2*F(x)+x^8-3*x^7-x^6+8*x^5-7*x^4+12*x^3-13*x^2+6*x-1 = 0
Implicit equation for the generating function in latex syntax:
-\left(x^{2}-3 x +1\right) \left(x^{3}+2 x -1\right) \left(x -1\right)^{2} F \! \left(x \right)+x^{8}-3 x^{7}-x^{6}+8 x^{5}-7 x^{4}+12 x^{3}-13 x^{2}+6 x -1 = 0
Explicit closed form in Maple syntax:
-n+131/590*Sum(_alpha^(-n+3),_alpha = RootOf(_Z^5-3*_Z^4+3*_Z^3-7*_Z^2+5*_Z-1))-339/590*Sum(_alpha^(-n+2),_alpha = RootOf(_Z^5-3*_Z^4+3*_Z^3-7*_Z^2+5*_Z-1))+121/295*Sum(_alpha^(1-n),_alpha = RootOf(_Z^5-3*_Z^4+3*_Z^3-7*_Z^2+5*_Z-1))-1119/590*Sum(_alpha^(-n),_alpha = RootOf(_Z^5-3*_Z^4+3*_Z^3-7*_Z^2+5*_Z-1))+509/590*Sum(_alpha^(-n-1),_alpha = RootOf(_Z^5-3*_Z^4+3*_Z^3-7*_Z^2+5*_Z-1))+piecewise(n = 0,2,n = 1,1,0)
Explicit closed form in latex syntax:
-n +\frac{131 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}-3 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}-7 \textit{\_Z}^{2}+5 \textit{\_Z} -1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +3}\right)}{590}-\frac{339 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}-3 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}-7 \textit{\_Z}^{2}+5 \textit{\_Z} -1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n +2}\right)}{590}+\frac{121 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}-3 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}-7 \textit{\_Z}^{2}+5 \textit{\_Z} -1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{1-n}\right)}{295}-\frac{1119 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}-3 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}-7 \textit{\_Z}^{2}+5 \textit{\_Z} -1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n}\right)}{590}+\frac{509 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{5}-3 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}-7 \textit{\_Z}^{2}+5 \textit{\_Z} -1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n -1}\right)}{590}+\left(\left\{\begin{array}{cc}2 & n =0 \\ 1 & n =1 \\ 0 & \mathit{\text{otherwise}} \end{array}\right.\right)
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 19
a(5) = 55
a(6) = 149
a(7) = 394
a(8) = 1032
a(n+5) = a(n)-3*a(n+1)+3*a(n+2)-7*a(n+3)+5*a(n+4)-2*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) = 19
a \! \left(5\right) = 55
a \! \left(6\right) = 149
a \! \left(7\right) = 394
a \! \left(8\right) = 1032
a \! \left(n +5\right) = a \! \left(n \right)-3 a \! \left(n +1\right)+3 a \! \left(n +2\right)-7 a \! \left(n +3\right)+5 a \! \left(n +4\right)-2 n -3, \quad n \geq 9
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/18133/
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[14,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[11,x]
F[14,x] = F[15,x]+F[26,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]*F[4,x]
F[17,x] = F[18,x]+F[6,x]
F[18,x] = F[15,x]+F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]*F[4,x]
F[21,x] = F[22,x]+F[25,x]
F[22,x] = F[15,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[4,x]
F[25,x] = F[23,x]
F[26,x] = F[27,x]+F[28,x]+F[65,x]
F[27,x] = 0
F[28,x] = F[29,x]*F[4,x]
F[29,x] = F[30,x]+F[40,x]
F[30,x] = F[31,x]+F[7,x]
F[31,x] = F[27,x]+F[32,x]+F[37,x]
F[32,x] = F[33,x]*F[4,x]
F[33,x] = F[34,x]
F[34,x] = F[11,x]+F[35,x]
F[35,x] = F[36,x]
F[36,x] = F[34,x]*F[4,x]
F[37,x] = F[38,x]*F[4,x]
F[38,x] = F[13,x]+F[39,x]
F[39,x] = F[35,x]
F[40,x] = F[26,x]+F[41,x]
F[41,x] = 2*F[27,x]+F[42,x]+F[59,x]
F[42,x] = F[4,x]*F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[45,x]+F[57,x]
F[45,x] = F[27,x]+F[46,x]+F[55,x]
F[46,x] = F[4,x]*F[47,x]
F[47,x] = F[48,x]+F[51,x]
F[48,x] = F[11,x]+F[49,x]
F[49,x] = F[27,x]+F[32,x]+F[50,x]
F[50,x] = F[13,x]*F[4,x]
F[51,x] = F[45,x]+F[52,x]
F[52,x] = 2*F[27,x]+F[42,x]+F[53,x]
F[53,x] = F[4,x]*F[54,x]
F[54,x] = F[23,x]
F[55,x] = F[4,x]*F[56,x]
F[56,x] = F[15,x]+F[45,x]
F[57,x] = F[58,x]
F[58,x] = F[4,x]*F[44,x]
F[59,x] = F[4,x]*F[60,x]
F[60,x] = F[54,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[4,x]*F[63,x]
F[63,x] = F[23,x]+F[64,x]
F[64,x] = F[62,x]
F[65,x] = F[4,x]*F[66,x]
F[66,x] = F[56,x]+F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[24,x]+F[27,x]+F[69,x]
F[69,x] = F[4,x]*F[70,x]
F[70,x] = F[48,x]+F[71,x]
F[71,x] = F[23,x]+F[72,x]
F[72,x] = 2*F[27,x]+F[73,x]+F[75,x]
F[73,x] = F[4,x]*F[74,x]
F[74,x] = F[63,x]
F[75,x] = F[25,x]*F[4,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_{14}\! \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_{11}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{26}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{6}\! \left(x \right)
F_{18}\! \left(x \right) = F_{15}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{25}\! \left(x \right)
F_{22}\! \left(x \right) = F_{15}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{23}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{28}\! \left(x \right)+F_{65}\! \left(x \right)
F_{27}\! \left(x \right) = 0
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_{40}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{7}\! \left(x \right)
F_{31}\! \left(x \right) = F_{27}\! \left(x \right)+F_{32}\! \left(x \right)+F_{37}\! \left(x \right)
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_{34}\! \left(x \right) = F_{11}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{34}\! \left(x \right) F_{4}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right)
F_{38}\! \left(x \right) = F_{13}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{35}\! \left(x \right)
F_{40}\! \left(x \right) = F_{26}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = 2 F_{27}\! \left(x \right)+F_{42}\! \left(x \right)+F_{59}\! \left(x \right)
F_{42}\! \left(x \right) = F_{4}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{57}\! \left(x \right)
F_{45}\! \left(x \right) = F_{27}\! \left(x \right)+F_{46}\! \left(x \right)+F_{55}\! \left(x \right)
F_{46}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{51}\! \left(x \right)
F_{48}\! \left(x \right) = F_{11}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{27}\! \left(x \right)+F_{32}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{51}\! \left(x \right) = F_{45}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = 2 F_{27}\! \left(x \right)+F_{42}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{23}\! \left(x \right)
F_{55}\! \left(x \right) = F_{4}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{15}\! \left(x \right)+F_{45}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{59}\! \left(x \right) = F_{4}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{54}\! \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_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{23}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{62}\! \left(x \right)
F_{65}\! \left(x \right) = F_{4}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{56}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{24}\! \left(x \right)+F_{27}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{4}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{48}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{23}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = 2 F_{27}\! \left(x \right)+F_{73}\! \left(x \right)+F_{75}\! \left(x \right)
F_{73}\! \left(x \right) = F_{4}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{63}\! \left(x \right)
F_{75}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \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_14(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_11(x))
Eq(F_14(x), F_15(x) + F_26(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x)*F_4(x))
Eq(F_17(x), F_18(x) + F_6(x))
Eq(F_18(x), F_15(x) + F_19(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x)*F_4(x))
Eq(F_21(x), F_22(x) + F_25(x))
Eq(F_22(x), F_15(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_4(x))
Eq(F_25(x), F_23(x))
Eq(F_26(x), F_27(x) + F_28(x) + F_65(x))
Eq(F_27(x), 0)
Eq(F_28(x), F_29(x)*F_4(x))
Eq(F_29(x), F_30(x) + F_40(x))
Eq(F_30(x), F_31(x) + F_7(x))
Eq(F_31(x), F_27(x) + F_32(x) + F_37(x))
Eq(F_32(x), F_33(x)*F_4(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_11(x) + F_35(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_34(x)*F_4(x))
Eq(F_37(x), F_38(x)*F_4(x))
Eq(F_38(x), F_13(x) + F_39(x))
Eq(F_39(x), F_35(x))
Eq(F_40(x), F_26(x) + F_41(x))
Eq(F_41(x), 2*F_27(x) + F_42(x) + F_59(x))
Eq(F_42(x), F_4(x)*F_43(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_45(x) + F_57(x))
Eq(F_45(x), F_27(x) + F_46(x) + F_55(x))
Eq(F_46(x), F_4(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_51(x))
Eq(F_48(x), F_11(x) + F_49(x))
Eq(F_49(x), F_27(x) + F_32(x) + F_50(x))
Eq(F_50(x), F_13(x)*F_4(x))
Eq(F_51(x), F_45(x) + F_52(x))
Eq(F_52(x), 2*F_27(x) + F_42(x) + F_53(x))
Eq(F_53(x), F_4(x)*F_54(x))
Eq(F_54(x), F_23(x))
Eq(F_55(x), F_4(x)*F_56(x))
Eq(F_56(x), F_15(x) + F_45(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_4(x)*F_44(x))
Eq(F_59(x), F_4(x)*F_60(x))
Eq(F_60(x), F_54(x) + F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_4(x)*F_63(x))
Eq(F_63(x), F_23(x) + F_64(x))
Eq(F_64(x), F_62(x))
Eq(F_65(x), F_4(x)*F_66(x))
Eq(F_66(x), F_56(x) + F_67(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_24(x) + F_27(x) + F_69(x))
Eq(F_69(x), F_4(x)*F_70(x))
Eq(F_70(x), F_48(x) + F_71(x))
Eq(F_71(x), F_23(x) + F_72(x))
Eq(F_72(x), 2*F_27(x) + F_73(x) + F_75(x))
Eq(F_73(x), F_4(x)*F_74(x))
Eq(F_74(x), F_63(x))
Eq(F_75(x), F_25(x)*F_4(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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