0123_0132_0231_2103_3102
Counting sequence:
1, 1, 2, 6, 19, 49, 109, 247, 555, 1233, 2729, 6031, 13315, 29381, 64817, 142975, 315359, 695565, 1534137, 3383667, 7462935, 16460045, 36303797, 80070571, 176601231, 389506305, 859083229, 1894767739, 4179041835, 9217166953, 20329101701, 44837245295, 98891657603, 218112416969, 481062079297, 1061015816263, 2340144049563, 5161350178493, 11383716173321, 25107576396279, 55376502971127, 122136722115653, 269381020627665, 594138544226539, 1310413810568815, 2890208641765381, 6374555827757389, 14059525466083683, 31009259573932839, 68393074975623161, 150845675417330101, 332700610408593139, 733794295792809539, 1618434267002949281, 3569569144414491805, 7872932584621793255, 17364299436246535899, 38298168016907563713, 84469268618436920793, 186302836673120377599, 410903841363148319027, 906276951344733558965, 1998856739362587495649, 4408617320088323310447, 9723511591521380179983, 21445879922405347855741, 47300377164899019022057, 104324265921319418224227, 230094411765044184304327, 507489200694987387630845, 1119302667311294193486053, 2468699746387632571276571, 5444888693470252530184127, 12009080054251799253854449, 26486859854891231078985613, 58418608403252714688155499, 128846296860757228630165595, 284179453576405688339316953, 626777515556064091366789557, 1382401327972885411363744863, 3048982109522176511066806835, 6724741734600417113500403385, 14831884797173719638364551793, 32712751703869615787795910583, 72150245142339648689092224715, 159132375081853017016549001389, 350977501867575649820893913529, 774105248877490948330880051943, 1707342872836834913678309105447, 3765663247541245477177512124597, 8305431743959981902685904301313, 18318206360756798719050117708251, 40402075969054842915277747541279, 89109583682069667733241399384053, 196537373724896134185532916476541, 433476823418847111286343580494547, 956063230519763890305928560373335, 2108663834764423914797390037223401, 4650804492947694940881123654941541, 10257672216415153772068175870256611, 22624008267594731458933741777736819
Generating function in Maple syntax:
(3*x^8-9*x^7+7*x^6+2*x^5-4*x^4-3*x^2+3*x-1)/(x^3+2*x-1)/(x-1)^2
Generating function in latex syntax:
\frac{3 x^{8}-9 x^{7}+7 x^{6}+2 x^{5}-4 x^{4}-3 x^{2}+3 x -1}{\left(x^{3}+2 x -1\right) \left(x -1\right)^{2}}
Generating function in sympy syntax:
(3*x**8 - 9*x**7 + 7*x**6 + 2*x**5 - 4*x**4 - 3*x**2 + 3*x - 1)/((x - 1)**2*(x**3 + 2*x - 1))
Implicit equation for the generating function in Maple syntax:
-(x^3+2*x-1)*(x-1)^2*F(x)+3*x^8-9*x^7+7*x^6+2*x^5-4*x^4-3*x^2+3*x-1 = 0
Implicit equation for the generating function in latex syntax:
-\left(x^{3}+2 x -1\right) \left(x -1\right)^{2} F \! \left(x \right)+3 x^{8}-9 x^{7}+7 x^{6}+2 x^{5}-4 x^{4}-3 x^{2}+3 x -1 = 0
Explicit closed form in Maple syntax:
-1/2-n+507/118*Sum(_alpha^(1-n),_alpha = RootOf(_Z^3+2*_Z-1))-431/118*Sum(_alpha^(-n),_alpha = RootOf(_Z^3+2*_Z-1))+145/118*Sum(_alpha^(-n-1),_alpha = RootOf(_Z^3+2*_Z-1))-piecewise(n = 0,-10,n = 1,8,n = 2,3,n = 3,-3,0)
Explicit closed form in latex syntax:
-\frac{1}{2}-n +\frac{507 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{3}+2 \textit{\_Z} -1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{1-n}\right)}{118}-\frac{431 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{3}+2 \textit{\_Z} -1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n}\right)}{118}+\frac{145 \left(\munderset{\underline{\hspace{1.25 ex}}\alpha =\mathit{RootOf}\! \left(\textit{\_Z}^{3}+2 \textit{\_Z} -1\right)}{\textcolor{gray}{\sum}}\! \underline{\hspace{1.25 ex}}\alpha^{-n -1}\right)}{118}-\left(\left\{\begin{array}{cc}-10 & n =0 \\ 8 & n =1 \\ 3 & n =2 \\ -3 & n =3 \\ 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) = 49
a(6) = 109
a(7) = 247
a(8) = 555
a(n) = -2*a(n+2)+a(n+3)-2*n-2, 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) = 49
a \! \left(6\right) = 109
a \! \left(7\right) = 247
a \! \left(8\right) = 555
a \! \left(n \right) = -2 a \! \left(n +2\right)+a \! \left(n +3\right)-2 n -2, \quad n \geq 9
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/16172/
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[19,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[11,x]
F[10,x] = F[1,x]+F[4,x]
F[11,x] = F[12,x]+F[16,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[4,x]
F[14,x] = F[10,x]+F[15,x]
F[15,x] = F[12,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]*F[4,x]
F[18,x] = F[4,x]
F[19,x] = F[20,x]+F[32,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[4,x]
F[22,x] = F[23,x]+F[24,x]
F[23,x] = F[1,x]+F[12,x]
F[24,x] = F[20,x]+F[25,x]
F[25,x] = F[26,x]
F[26,x] = F[27,x]*F[4,x]
F[27,x] = F[28,x]+F[31,x]
F[28,x] = F[20,x]+F[29,x]
F[29,x] = F[30,x]
F[30,x] = F[20,x]*F[4,x]
F[31,x] = F[25,x]
F[32,x] = F[33,x]+F[34,x]+F[61,x]
F[33,x] = 0
F[34,x] = F[35,x]*F[4,x]
F[35,x] = F[36,x]+F[45,x]
F[36,x] = F[37,x]+F[7,x]
F[37,x] = F[17,x]+F[33,x]+F[38,x]
F[38,x] = F[39,x]*F[4,x]
F[39,x] = F[11,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[17,x]+F[33,x]+F[42,x]
F[42,x] = F[4,x]*F[43,x]
F[43,x] = F[15,x]+F[44,x]
F[44,x] = F[41,x]
F[45,x] = F[46,x]+F[53,x]
F[46,x] = F[47,x]
F[47,x] = F[4,x]*F[48,x]
F[48,x] = F[28,x]+F[49,x]
F[49,x] = F[25,x]+F[50,x]
F[50,x] = F[51,x]
F[51,x] = F[4,x]*F[52,x]
F[52,x] = F[29,x]
F[53,x] = 2*F[33,x]+F[51,x]+F[54,x]
F[54,x] = F[4,x]*F[55,x]
F[55,x] = F[49,x]+F[56,x]
F[56,x] = F[57,x]
F[57,x] = 2*F[33,x]+F[51,x]+F[58,x]
F[58,x] = F[4,x]*F[59,x]
F[59,x] = F[31,x]+F[60,x]
F[60,x] = F[57,x]
F[61,x] = F[4,x]*F[62,x]
F[62,x] = F[63,x]+F[73,x]
F[63,x] = F[20,x]+F[64,x]
F[64,x] = F[30,x]+F[33,x]+F[65,x]
F[65,x] = F[4,x]*F[66,x]
F[66,x] = F[67,x]+F[70,x]
F[67,x] = F[4,x]+F[68,x]
F[68,x] = F[17,x]+F[33,x]+F[69,x]
F[69,x] = F[12,x]*F[4,x]
F[70,x] = F[29,x]+F[71,x]
F[71,x] = 2*F[33,x]+F[51,x]+F[72,x]
F[72,x] = F[25,x]*F[4,x]
F[73,x] = F[74,x]+F[82,x]
F[74,x] = F[33,x]+F[75,x]+F[79,x]
F[75,x] = F[4,x]*F[76,x]
F[76,x] = F[77,x]+F[78,x]
F[77,x] = F[12,x]+F[41,x]
F[78,x] = F[25,x]+F[57,x]
F[79,x] = F[4,x]*F[80,x]
F[80,x] = F[28,x]+F[81,x]
F[81,x] = F[74,x]
F[82,x] = 2*F[33,x]+F[83,x]+F[87,x]
F[83,x] = F[4,x]*F[84,x]
F[84,x] = F[85,x]+F[86,x]
F[85,x] = F[16,x]
F[86,x] = F[50,x]
F[87,x] = F[4,x]*F[88,x]
F[88,x] = F[29,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_{19}\! \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_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{16}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{4}\! \left(x \right)
F_{14}\! \left(x \right) = F_{10}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{12}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)
F_{18}\! \left(x \right) = F_{4}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{32}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{24}\! \left(x \right)
F_{23}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{24}\! \left(x \right) = F_{20}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{31}\! \left(x \right)
F_{28}\! \left(x \right) = F_{20}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{31}\! \left(x \right) = F_{25}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{34}\! \left(x \right)+F_{61}\! \left(x \right)
F_{33}\! \left(x \right) = 0
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{45}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{7}\! \left(x \right)
F_{37}\! \left(x \right) = F_{17}\! \left(x \right)+F_{33}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right) F_{4}\! \left(x \right)
F_{39}\! \left(x \right) = F_{11}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{17}\! \left(x \right)+F_{33}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{4}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{15}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{41}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{53}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{4}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{28}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{25}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{4}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{29}\! \left(x \right)
F_{53}\! \left(x \right) = 2 F_{33}\! \left(x \right)+F_{51}\! \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_{49}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = 2 F_{33}\! \left(x \right)+F_{51}\! \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_{31}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{57}\! \left(x \right)
F_{61}\! \left(x \right) = F_{4}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{73}\! \left(x \right)
F_{63}\! \left(x \right) = F_{20}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{30}\! \left(x \right)+F_{33}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{4}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{70}\! \left(x \right)
F_{67}\! \left(x \right) = F_{4}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{17}\! \left(x \right)+F_{33}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{70}\! \left(x \right) = F_{29}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = 2 F_{33}\! \left(x \right)+F_{51}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{82}\! \left(x \right)
F_{74}\! \left(x \right) = F_{33}\! \left(x \right)+F_{75}\! \left(x \right)+F_{79}\! \left(x \right)
F_{75}\! \left(x \right) = F_{4}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{78}\! \left(x \right)
F_{77}\! \left(x \right) = F_{12}\! \left(x \right)+F_{41}\! \left(x \right)
F_{78}\! \left(x \right) = F_{25}\! \left(x \right)+F_{57}\! \left(x \right)
F_{79}\! \left(x \right) = F_{4}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{28}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{74}\! \left(x \right)
F_{82}\! \left(x \right) = 2 F_{33}\! \left(x \right)+F_{83}\! \left(x \right)+F_{87}\! \left(x \right)
F_{83}\! \left(x \right) = F_{4}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{86}\! \left(x \right)
F_{85}\! \left(x \right) = F_{16}\! \left(x \right)
F_{86}\! \left(x \right) = F_{50}\! \left(x \right)
F_{87}\! \left(x \right) = F_{4}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{29}\! \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_19(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_11(x))
Eq(F_10(x), F_1(x) + F_4(x))
Eq(F_11(x), F_12(x) + F_16(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_4(x))
Eq(F_14(x), F_10(x) + F_15(x))
Eq(F_15(x), F_12(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)*F_4(x))
Eq(F_18(x), F_4(x))
Eq(F_19(x), F_20(x) + F_32(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_4(x))
Eq(F_22(x), F_23(x) + F_24(x))
Eq(F_23(x), F_1(x) + F_12(x))
Eq(F_24(x), F_20(x) + F_25(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x)*F_4(x))
Eq(F_27(x), F_28(x) + F_31(x))
Eq(F_28(x), F_20(x) + F_29(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_20(x)*F_4(x))
Eq(F_31(x), F_25(x))
Eq(F_32(x), F_33(x) + F_34(x) + F_61(x))
Eq(F_33(x), 0)
Eq(F_34(x), F_35(x)*F_4(x))
Eq(F_35(x), F_36(x) + F_45(x))
Eq(F_36(x), F_37(x) + F_7(x))
Eq(F_37(x), F_17(x) + F_33(x) + F_38(x))
Eq(F_38(x), F_39(x)*F_4(x))
Eq(F_39(x), F_11(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_17(x) + F_33(x) + F_42(x))
Eq(F_42(x), F_4(x)*F_43(x))
Eq(F_43(x), F_15(x) + F_44(x))
Eq(F_44(x), F_41(x))
Eq(F_45(x), F_46(x) + F_53(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_4(x)*F_48(x))
Eq(F_48(x), F_28(x) + F_49(x))
Eq(F_49(x), F_25(x) + F_50(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_4(x)*F_52(x))
Eq(F_52(x), F_29(x))
Eq(F_53(x), 2*F_33(x) + F_51(x) + F_54(x))
Eq(F_54(x), F_4(x)*F_55(x))
Eq(F_55(x), F_49(x) + F_56(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), 2*F_33(x) + F_51(x) + F_58(x))
Eq(F_58(x), F_4(x)*F_59(x))
Eq(F_59(x), F_31(x) + F_60(x))
Eq(F_60(x), F_57(x))
Eq(F_61(x), F_4(x)*F_62(x))
Eq(F_62(x), F_63(x) + F_73(x))
Eq(F_63(x), F_20(x) + F_64(x))
Eq(F_64(x), F_30(x) + F_33(x) + F_65(x))
Eq(F_65(x), F_4(x)*F_66(x))
Eq(F_66(x), F_67(x) + F_70(x))
Eq(F_67(x), F_4(x) + F_68(x))
Eq(F_68(x), F_17(x) + F_33(x) + F_69(x))
Eq(F_69(x), F_12(x)*F_4(x))
Eq(F_70(x), F_29(x) + F_71(x))
Eq(F_71(x), 2*F_33(x) + F_51(x) + F_72(x))
Eq(F_72(x), F_25(x)*F_4(x))
Eq(F_73(x), F_74(x) + F_82(x))
Eq(F_74(x), F_33(x) + F_75(x) + F_79(x))
Eq(F_75(x), F_4(x)*F_76(x))
Eq(F_76(x), F_77(x) + F_78(x))
Eq(F_77(x), F_12(x) + F_41(x))
Eq(F_78(x), F_25(x) + F_57(x))
Eq(F_79(x), F_4(x)*F_80(x))
Eq(F_80(x), F_28(x) + F_81(x))
Eq(F_81(x), F_74(x))
Eq(F_82(x), 2*F_33(x) + F_83(x) + F_87(x))
Eq(F_83(x), F_4(x)*F_84(x))
Eq(F_84(x), F_85(x) + F_86(x))
Eq(F_85(x), F_16(x))
Eq(F_86(x), F_50(x))
Eq(F_87(x), F_4(x)*F_88(x))
Eq(F_88(x), F_29(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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