0213_0231_0321_1302_3012
Counting sequence:
1, 1, 2, 6, 19, 55, 156, 437, 1211, 3326, 9069, 24583, 66312, 178147, 476949, 1273204, 3390329, 9008593, 23893052, 63269415, 167307355, 441889034, 1165883427, 3073251681, 8094531942, 21304867935, 56039813015, 147325407312, 387123959013, 1016807188751, 2669715500330, 7007259103553, 18386746117115, 48233610478612, 126501530188923, 331706736543909, 869631690300476, 2279543298889233, 5974472834702773, 15656602172019980, 41024920289620463, 107486939216365059, 281595792668319966, 737672150284346591, 1932284782573808209, 5061191042921684990, 13255958345362642571, 34717540424100304647, 90921901066882272476, 238106834333681788061, 623534996756614977259, 1632815235429192250918, 4275647829922280601277, 11195841851347999701407, 29315861353863160404064, 76761003025836425742939, 200988676507958415867469, 526255074849527272424428, 1377892896342059099247417, 3607694091162292516755425, 9445818159850362980213420, 24731222130835580726434919, 64751246371571285539790067, 169530416698434970839125866, 443858368332020683437311907, 1162087380832289765300300545, 3042503022266819251972803630, 7965652409813041593950495047, 20854990575037647746684898503, 54600566219308151729367295936, 142949606783025746860926226445, 374254992790034749162219120863, 979831037071605852796398969730, 2565274536257972484540875051297, 6716077232893091582735390043363, 17583153975811790210935659964044, 46033842230165372603378254049091, 120519436355963412346487528872893, 315526939503706419518606649123188, 826067130406165435515629178978465, 2162687814777134629529414962840053, 5662027379276235057045946730215244, 14823466541230880457832446900252431, 38808540131314687599677931021563051, 101602544142400402962406244993279774, 265999999609330930500926448015210175, 696399563933449456221346770616487361, 1823203595597387043400468489241636982, 4773222621895550763543560874259239491, 12496490769634900373126985085737895671, 32716311290978747159638057510665643324, 85652586315155700354959137102139809253, 224241780581657873171050647460175531867, 587073529391587355261083450087601674542, 1536980606835927821638420999557311436429, 4023872473848297643792873442894370439799, 10534646538381391890206729063355764296984, 27580089746091778928975736457997422027763, 72205675249668895576371382868960109493157, 189037058166320384815260804136434694833060, 494905783244754689457624823097176624312985
Generating function in Maple syntax:
(x^7-3*x^6+3*x^5-2*x^4+4*x^3-8*x^2+5*x-1)/(x^2-3*x+1)/(x^3-2*x^2+3*x-1)
Generating function in latex syntax:
\frac{x^{7}-3 x^{6}+3 x^{5}-2 x^{4}+4 x^{3}-8 x^{2}+5 x -1}{\left(x^{2}-3 x +1\right) \left(x^{3}-2 x^{2}+3 x -1\right)}
Generating function in sympy syntax:
(x**7 - 3*x**6 + 3*x**5 - 2*x**4 + 4*x**3 - 8*x**2 + 5*x - 1)/((x**2 - 3*x + 1)*(x**3 - 2*x**2 + 3*x - 1))
Implicit equation for the generating function in Maple syntax:
-(x^2-3*x+1)*(x^3-2*x^2+3*x-1)*F(x)+x^7-3*x^6+3*x^5-2*x^4+4*x^3-8*x^2+5*x-1 = 0
Implicit equation for the generating function in latex syntax:
-\left(x^{2}-3 x +1\right) \left(x^{3}-2 x^{2}+3 x -1\right) F \! \left(x \right)+x^{7}-3 x^{6}+3 x^{5}-2 x^{4}+4 x^{3}-8 x^{2}+5 x -1 = 0
Explicit closed form in Maple syntax:
piecewise(n = 0,1,n = 1,1,n = 2,2,1/20*(11+3*23^(1/2)*3^(1/2))^(1/3)*2^(1/3)*(((1/5*I+13/345*23^(1/2))*3^(1/2)+13/115*I*23^(1/2)+1/5)*(11+3*23^(1/2)*3^(1/2))^(1/3)+2^(1/3)*((I+7/69*23^(1/2))*3^(1/2)-7/23*I*23^(1/2)-1))*(11/600*((I-3/11*23^(1/2))*3^(1/2)-9/11*I*23^(1/2)+1)*2^(1/3)*(11+3*23^(1/2)*3^(1/2))^(2/3)-1/12*I*3^(1/2)*(44+12*23^(1/2)*3^(1/2))^(1/3)+1/12*(44+12*23^(1/2)*3^(1/2))^(1/3)+2/3)^(-n)-1/20*(((1/5*I-13/345*23^(1/2))*3^(1/2)+13/115*I*23^(1/2)-1/5)*(11+3*23^(1/2)*3^(1/2))^(1/3)+((I-7/69*23^(1/2))*3^(1/2)-7/23*I*23^(1/2)+1)*2^(1/3))*(11+3*23^(1/2)*3^(1/2))^(1/3)*2^(1/3)*(-11/600*((I+3/11*23^(1/2))*3^(1/2)-9/11*I*23^(1/2)-1)*2^(1/3)*(11+3*23^(1/2)*3^(1/2))^(2/3)+1/12*I*3^(1/2)*(44+12*23^(1/2)*3^(1/2))^(1/3)+1/12*(44+12*23^(1/2)*3^(1/2))^(1/3)+2/3)^(-n)+1/6900*((-70*2^(2/3)*23^(1/2)*3^(1/2)+690*2^(2/3))*(11+3*23^(1/2)*3^(1/2))^(1/3)-26*2^(1/3)*(23^(1/2)*3^(1/2)+69/13)*(11+3*23^(1/2)*3^(1/2))^(2/3))*(1/300*2^(1/3)*(3*23^(1/2)*3^(1/2)-11)*(11+3*23^(1/2)*3^(1/2))^(2/3)-1/6*(44+12*23^(1/2)*3^(1/2))^(1/3)+2/3)^(-n)+1/6900*(5520*5^(1/2)-6900)*(3/2-1/2*5^(1/2))^(-n)+1/6900*(-5520*5^(1/2)-6900)*(3/2+1/2*5^(1/2))^(-n))
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0 \\ 1 & n =1 \\ 2 & n =2 \\ \frac{\left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}} 2^{\frac{1}{3}} \left(\left(\left(\frac{\mathrm{I}}{5}+\frac{13 \sqrt{23}}{345}\right) \sqrt{3}+\frac{13 \,\mathrm{I} \sqrt{23}}{115}+\frac{1}{5}\right) \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}+2^{\frac{1}{3}} \left(\left(\mathrm{I}+\frac{7 \sqrt{23}}{69}\right) \sqrt{3}-\frac{7 \,\mathrm{I} \sqrt{23}}{23}-1\right)\right) \left(\frac{11 \left(\left(\mathrm{I}-\frac{3 \sqrt{23}}{11}\right) \sqrt{3}-\frac{9 \,\mathrm{I} \sqrt{23}}{11}+1\right) 2^{\frac{1}{3}} \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{2}{3}}}{600}-\frac{\mathrm{I} \sqrt{3}\, \left(44+12 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}}{12}+\frac{\left(44+12 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}}{12}+\frac{2}{3}\right)^{-n}}{20}\\-\\\frac{\left(\left(\left(\frac{\mathrm{I}}{5}-\frac{13 \sqrt{23}}{345}\right) \sqrt{3}+\frac{13 \,\mathrm{I} \sqrt{23}}{115}-\frac{1}{5}\right) \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}+\left(\left(\mathrm{I}-\frac{7 \sqrt{23}}{69}\right) \sqrt{3}-\frac{7 \,\mathrm{I} \sqrt{23}}{23}+1\right) 2^{\frac{1}{3}}\right) \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}} 2^{\frac{1}{3}} \left(-\frac{11 \left(\left(\mathrm{I}+\frac{3 \sqrt{23}}{11}\right) \sqrt{3}-\frac{9 \,\mathrm{I} \sqrt{23}}{11}-1\right) 2^{\frac{1}{3}} \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{2}{3}}}{600}+\frac{\mathrm{I} \sqrt{3}\, \left(44+12 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}}{12}+\frac{\left(44+12 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}}{12}+\frac{2}{3}\right)^{-n}}{20}\\+\\\frac{\left(\left(-70 \,2^{\frac{2}{3}} \sqrt{23}\, \sqrt{3}+690 \,2^{\frac{2}{3}}\right) \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}-26 \,2^{\frac{1}{3}} \left(\sqrt{23}\, \sqrt{3}+\frac{69}{13}\right) \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{2}{3}}\right) \left(\frac{2^{\frac{1}{3}} \left(3 \sqrt{23}\, \sqrt{3}-11\right) \left(11+3 \sqrt{23}\, \sqrt{3}\right)^{\frac{2}{3}}}{300}-\frac{\left(44+12 \sqrt{23}\, \sqrt{3}\right)^{\frac{1}{3}}}{6}+\frac{2}{3}\right)^{-n}}{6900}\\+\frac{\left(5520 \sqrt{5}-6900\right) \left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n}}{6900}+\frac{\left(-5520 \sqrt{5}-6900\right) \left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n}}{6900} & \mathit{\text{otherwise}} \end{array}\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) = 156
a(7) = 437
a(n+5) = a(n)-5*a(n+1)+10*a(n+2)-12*a(n+3)+6*a(n+4), n >= 8
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) = 156
a \! \left(7\right) = 437
a \! \left(n +5\right) = a \! \left(n \right)-5 a \! \left(n +1\right)+10 a \! \left(n +2\right)-12 a \! \left(n +3\right)+6 a \! \left(n +4\right), \quad n \geq 8
Specification 1
Strategy pack name: point_placements
Tree: http://www.permpal.com/tree/20267/
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[13,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[6,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[4,x]
F[12,x] = F[1,x]+F[4,x]
F[13,x] = F[14,x]+F[41,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = F[17,x]+F[20,x]
F[17,x] = F[1,x]+F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[12,x]*F[4,x]
F[20,x] = F[14,x]+F[21,x]
F[21,x] = F[22,x]+F[23,x]+F[39,x]
F[22,x] = 0
F[23,x] = F[24,x]*F[4,x]
F[24,x] = F[25,x]+F[29,x]
F[25,x] = F[18,x]+F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[4,x]
F[29,x] = F[21,x]+F[30,x]
F[30,x] = 2*F[22,x]+F[31,x]+F[35,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[33,x]+F[34,x]
F[33,x] = F[26,x]
F[34,x] = F[30,x]
F[35,x] = F[36,x]*F[4,x]
F[36,x] = F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[14,x]*F[4,x]
F[39,x] = F[4,x]*F[40,x]
F[40,x] = F[14,x]+F[37,x]
F[41,x] = F[22,x]+F[42,x]+F[60,x]
F[42,x] = F[4,x]*F[43,x]
F[43,x] = F[44,x]+F[50,x]
F[44,x] = F[45,x]+F[7,x]
F[45,x] = F[22,x]+F[46,x]+F[48,x]
F[46,x] = F[4,x]*F[47,x]
F[47,x] = F[7,x]
F[48,x] = F[4,x]*F[49,x]
F[49,x] = F[4,x]
F[50,x] = F[41,x]+F[51,x]
F[51,x] = F[22,x]+F[52,x]+F[56,x]+F[58,x]
F[52,x] = F[4,x]*F[53,x]
F[53,x] = F[54,x]+F[55,x]
F[54,x] = F[45,x]
F[55,x] = F[51,x]
F[56,x] = F[4,x]*F[57,x]
F[57,x] = F[41,x]
F[58,x] = F[4,x]*F[59,x]
F[59,x] = F[37,x]
F[60,x] = F[4,x]*F[61,x]
F[61,x] = F[13,x]+F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[4,x]*F[40,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_{13}\! \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_{6}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{12}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{41}\! \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_{17}\! \left(x \right)+F_{20}\! \left(x \right)
F_{17}\! \left(x \right) = F_{1}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{14}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{23}\! \left(x \right)+F_{39}\! \left(x \right)
F_{22}\! \left(x \right) = 0
F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{29}\! \left(x \right)
F_{25}\! \left(x \right) = F_{18}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{4}\! \left(x \right)
F_{29}\! \left(x \right) = F_{21}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = 2 F_{22}\! \left(x \right)+F_{31}\! \left(x \right)+F_{35}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{34}\! \left(x \right)
F_{33}\! \left(x \right) = F_{26}\! \left(x \right)
F_{34}\! \left(x \right) = F_{30}\! \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_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{14}\! \left(x \right) F_{4}\! \left(x \right)
F_{39}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{14}\! \left(x \right)+F_{37}\! \left(x \right)
F_{41}\! \left(x \right) = F_{22}\! \left(x \right)+F_{42}\! \left(x \right)+F_{60}\! \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_{50}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{7}\! \left(x \right)
F_{45}\! \left(x \right) = F_{22}\! \left(x \right)+F_{46}\! \left(x \right)+F_{48}\! \left(x \right)
F_{46}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{7}\! \left(x \right)
F_{48}\! \left(x \right) = F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{4}\! \left(x \right)
F_{50}\! \left(x \right) = F_{41}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{22}\! \left(x \right)+F_{52}\! \left(x \right)+F_{56}\! \left(x \right)+F_{58}\! \left(x \right)
F_{52}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{55}\! \left(x \right)
F_{54}\! \left(x \right) = F_{45}\! \left(x \right)
F_{55}\! \left(x \right) = F_{51}\! \left(x \right)
F_{56}\! \left(x \right) = F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{41}\! \left(x \right)
F_{58}\! \left(x \right) = F_{4}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{37}\! \left(x \right)
F_{60}\! \left(x \right) = F_{4}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{13}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \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_13(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_6(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_4(x))
Eq(F_12(x), F_1(x) + F_4(x))
Eq(F_13(x), F_14(x) + F_41(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_17(x) + F_20(x))
Eq(F_17(x), F_1(x) + F_18(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_12(x)*F_4(x))
Eq(F_20(x), F_14(x) + F_21(x))
Eq(F_21(x), F_22(x) + F_23(x) + F_39(x))
Eq(F_22(x), 0)
Eq(F_23(x), F_24(x)*F_4(x))
Eq(F_24(x), F_25(x) + F_29(x))
Eq(F_25(x), F_18(x) + F_26(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)*F_4(x))
Eq(F_28(x), F_4(x))
Eq(F_29(x), F_21(x) + F_30(x))
Eq(F_30(x), 2*F_22(x) + F_31(x) + F_35(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_33(x) + F_34(x))
Eq(F_33(x), F_26(x))
Eq(F_34(x), F_30(x))
Eq(F_35(x), F_36(x)*F_4(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_14(x)*F_4(x))
Eq(F_39(x), F_4(x)*F_40(x))
Eq(F_40(x), F_14(x) + F_37(x))
Eq(F_41(x), F_22(x) + F_42(x) + F_60(x))
Eq(F_42(x), F_4(x)*F_43(x))
Eq(F_43(x), F_44(x) + F_50(x))
Eq(F_44(x), F_45(x) + F_7(x))
Eq(F_45(x), F_22(x) + F_46(x) + F_48(x))
Eq(F_46(x), F_4(x)*F_47(x))
Eq(F_47(x), F_7(x))
Eq(F_48(x), F_4(x)*F_49(x))
Eq(F_49(x), F_4(x))
Eq(F_50(x), F_41(x) + F_51(x))
Eq(F_51(x), F_22(x) + F_52(x) + F_56(x) + F_58(x))
Eq(F_52(x), F_4(x)*F_53(x))
Eq(F_53(x), F_54(x) + F_55(x))
Eq(F_54(x), F_45(x))
Eq(F_55(x), F_51(x))
Eq(F_56(x), F_4(x)*F_57(x))
Eq(F_57(x), F_41(x))
Eq(F_58(x), F_4(x)*F_59(x))
Eq(F_59(x), F_37(x))
Eq(F_60(x), F_4(x)*F_61(x))
Eq(F_61(x), F_13(x) + F_62(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_4(x)*F_40(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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