0132_0231_0321_1023_2130
Counting sequence:
1, 1, 2, 6, 19, 52, 132, 327, 798, 1926, 4611, 10968, 25948, 61103, 143306, 334902, 780179, 1812332, 4199236, 9707255, 22392710, 51556054, 118490755, 271882864, 622910460, 1425160415, 3256409810, 7431730982, 16941472915, 38579262820, 87766071876, 199478097703, 452984327470, 1027808280550, 2330246247299, 5279228868296, 11951843663324, 27040240454799, 61138075585818, 138150304096982, 311991774053651, 704201840310812, 1588636727216004, 3582081638885335, 8073078155498518, 18186301855544502, 40950519395036931, 92170498073114592, 207371569074189564, 466378033733310399, 1048491699047066274, 2356329505255399750, 5293670496608159507, 11888664730498815380, 26691297580810968324, 59906176339710021383, 134413670811114138686, 301501584619987744582, 676105147095062433539, 1515728221433188132280, 3397149485767210761052, 7611982836706554382447, 17051955587432386877290, 38189775504085011227766, 85510542249859700689043, 191423318589704125937612, 428425684532050965179588, 958659463416060159052471, 2144687628128573837733286, 4797080978051255130104214, 10727679046144781926181251, 23985706356377310097627216, 53619094999986276629879548, 119841929291104349301902495, 267807346064519209340887922, 598359950690071497895087718, 1336690218038327964374904723, 2985582338001269577295806660, 6667439901973846333480351940, 14887528959915572612605737191, 33236952689551613204252647502, 74191885419796705226470030758, 165588339014877800015784694915, 369524021581764045538045196200, 824511250446958093391491124700, 1839470522851429397926867243599, 4103294824032350495950203440826, 9152031733870747691497676222742, 20410255344253737404461876421139, 45512077976609178206511693504636, 101473663450586898514002315891460, 226219255126083935874968670254999, 504262206454159205743091095338038, 1123918788573167415982949881873782, 2504759929581599381248901346665987, 5581499878461101350843601675320256, 12436274883397118988858334381121020, 27706725469488515714749965318784895, 61721500176507232874515030619294018, 137481730292451533797419573381123718, 306204511939584159784435862813738515
Generating function in Maple syntax:
(2*x^8+3*x^7+3*x^6+5*x^5-5*x^4+2*x^3-5*x^2+4*x-1)/(x-1)/(x^3+2*x-1)^2
Generating function in latex syntax:
\frac{2 x^{8}+3 x^{7}+3 x^{6}+5 x^{5}-5 x^{4}+2 x^{3}-5 x^{2}+4 x -1}{\left(x -1\right) \left(x^{3}+2 x -1\right)^{2}}
Generating function in sympy syntax:
(2*x**8 + 3*x**7 + 3*x**6 + 5*x**5 - 5*x**4 + 2*x**3 - 5*x**2 + 4*x - 1)/((x - 1)*(x**3 + 2*x - 1)**2)
Implicit equation for the generating function in Maple syntax:
-(x-1)*(x^3+2*x-1)^2*F(x)+2*x^8+3*x^7+3*x^6+5*x^5-5*x^4+2*x^3-5*x^2+4*x-1 = 0
Implicit equation for the generating function in latex syntax:
-\left(x -1\right) \left(x^{3}+2 x -1\right)^{2} F \! \left(x \right)+2 x^{8}+3 x^{7}+3 x^{6}+5 x^{5}-5 x^{4}+2 x^{3}-5 x^{2}+4 x -1 = 0
Explicit closed form in Maple syntax:
1/3481*(236*n+236)*Sum(_alpha^(-n-2),_alpha = RootOf(_Z^3+2*_Z-1))+1/3481*(-472*n+1810)*Sum(_alpha^(-n-1),_alpha = RootOf(_Z^3+2*_Z-1))-29/3481*Sum(_alpha^(1-n),_alpha = RootOf(_Z^3+2*_Z-1))+1/3481*(354*n-3842)*Sum(_alpha^(-n),_alpha = RootOf(_Z^3+2*_Z-1))+piecewise(n = 0,5,n = 1,2,0)-2
Explicit closed form in latex syntax:
\frac{\left(236 n +236\right) \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 -2}\right)}{3481}+\frac{\left(-472 n +1810\right) \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)}{3481}-\frac{29 \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)}{3481}+\frac{\left(354 n -3842\right) \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)}{3481}+\left(\left\{\begin{array}{cc}5 & n =0 \\ 2 & n =1 \\ 0 & \mathit{\text{otherwise}} \end{array}\right.\right)-2
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 19
a(5) = 52
a(6) = 132
a(7) = 327
a(8) = 798
a(n) = -4*a(n+2)+2*a(n+3)-4*a(n+4)+4*a(n+5)-a(n+6)-8, 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) = 52
a \! \left(6\right) = 132
a \! \left(7\right) = 327
a \! \left(8\right) = 798
a \! \left(n \right) = -4 a \! \left(n +2\right)+2 a \! \left(n +3\right)-4 a \! \left(n +4\right)+4 a \! \left(n +5\right)-a \! \left(n +6\right)-8, \quad n \geq 9
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/18642/
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[18,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[14,x] = F[15,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = F[17,x]+F[4,x]
F[17,x] = F[15,x]
F[18,x] = F[19,x]+F[2,x]
F[19,x] = F[20,x]+F[21,x]+F[65,x]
F[20,x] = 0
F[21,x] = F[22,x]*F[4,x]
F[22,x] = F[23,x]+F[33,x]
F[23,x] = F[24,x]+F[27,x]
F[24,x] = F[25,x]
F[25,x] = F[26,x]*F[4,x]
F[26,x] = F[1,x]+F[4,x]
F[27,x] = F[20,x]+F[28,x]+F[31,x]
F[28,x] = F[29,x]*F[4,x]
F[29,x] = F[16,x]+F[30,x]
F[30,x] = F[17,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[11,x]+F[17,x]
F[33,x] = F[34,x]+F[54,x]
F[34,x] = F[35,x]
F[35,x] = F[36,x]*F[4,x]
F[36,x] = F[37,x]+F[39,x]
F[37,x] = F[24,x]+F[38,x]
F[38,x] = F[28,x]
F[39,x] = F[34,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[4,x]*F[42,x]
F[42,x] = F[43,x]+F[53,x]
F[43,x] = F[44,x]+F[51,x]
F[44,x] = F[45,x]
F[45,x] = F[4,x]*F[46,x]
F[46,x] = F[47,x]+F[49,x]
F[47,x] = F[4,x]+F[48,x]
F[48,x] = F[28,x]
F[49,x] = F[44,x]+F[50,x]
F[50,x] = F[41,x]
F[51,x] = F[52,x]
F[52,x] = F[4,x]*F[43,x]
F[53,x] = F[51,x]
F[54,x] = 2*F[20,x]+F[41,x]+F[55,x]
F[55,x] = F[4,x]*F[56,x]
F[56,x] = F[57,x]+F[60,x]
F[57,x] = F[58,x]
F[58,x] = F[4,x]*F[59,x]
F[59,x] = F[4,x]
F[60,x] = F[61,x]
F[61,x] = F[4,x]*F[62,x]
F[62,x] = F[63,x]+F[64,x]
F[63,x] = F[58,x]
F[64,x] = F[61,x]
F[65,x] = F[4,x]*F[66,x]
F[66,x] = F[67,x]+F[86,x]
F[67,x] = F[2,x]+F[68,x]
F[68,x] = F[20,x]+F[69,x]+F[85,x]
F[69,x] = F[4,x]*F[70,x]
F[70,x] = F[71,x]+F[74,x]
F[71,x] = F[4,x]+F[72,x]
F[72,x] = F[20,x]+F[28,x]+F[73,x]
F[73,x] = F[11,x]*F[4,x]
F[74,x] = F[44,x]+F[75,x]
F[75,x] = 2*F[20,x]+F[41,x]+F[76,x]
F[76,x] = F[4,x]*F[77,x]
F[77,x] = F[78,x]+F[80,x]
F[78,x] = F[79,x]
F[79,x] = x^2
F[80,x] = F[81,x]
F[81,x] = F[4,x]*F[82,x]
F[82,x] = F[83,x]+F[84,x]
F[83,x] = F[79,x]
F[84,x] = F[81,x]
F[85,x] = F[4,x]*F[67,x]
F[86,x] = F[68,x]+F[87,x]
F[87,x] = F[52,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_{18}\! \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_{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_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{15}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{2}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{21}\! \left(x \right)+F_{65}\! \left(x \right)
F_{20}\! \left(x \right) = 0
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_{33}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{27}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{26}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{20}\! \left(x \right)+F_{28}\! \left(x \right)+F_{31}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right) F_{4}\! \left(x \right)
F_{29}\! \left(x \right) = F_{16}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{17}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{32}\! \left(x \right) = F_{11}\! \left(x \right)+F_{17}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{54}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \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_{39}\! \left(x \right)
F_{37}\! \left(x \right) = F_{24}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{28}\! \left(x \right)
F_{39}\! \left(x \right) = F_{34}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{4}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{53}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{51}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{49}\! \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_{44}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{41}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{4}\! \left(x \right) F_{43}\! \left(x \right)
F_{53}\! \left(x \right) = F_{51}\! \left(x \right)
F_{54}\! \left(x \right) = 2 F_{20}\! \left(x \right)+F_{41}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{4}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{60}\! \left(x \right)
F_{57}\! \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_{4}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \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_{64}\! \left(x \right)
F_{63}\! \left(x \right) = F_{58}\! \left(x \right)
F_{64}\! \left(x \right) = F_{61}\! \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_{86}\! \left(x \right)
F_{67}\! \left(x \right) = F_{2}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{20}\! \left(x \right)+F_{69}\! \left(x \right)+F_{85}\! \left(x \right)
F_{69}\! \left(x \right) = F_{4}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{74}\! \left(x \right)
F_{71}\! \left(x \right) = F_{4}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{20}\! \left(x \right)+F_{28}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{11}\! \left(x \right) F_{4}\! \left(x \right)
F_{74}\! \left(x \right) = F_{44}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = 2 F_{20}\! \left(x \right)+F_{41}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{4}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{80}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = x^{2}
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{4}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)+F_{84}\! \left(x \right)
F_{83}\! \left(x \right) = F_{79}\! \left(x \right)
F_{84}\! \left(x \right) = F_{81}\! \left(x \right)
F_{85}\! \left(x \right) = F_{4}\! \left(x \right) F_{67}\! \left(x \right)
F_{86}\! \left(x \right) = F_{68}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{52}\! \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_18(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) + F_14(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_4(x))
Eq(F_17(x), F_15(x))
Eq(F_18(x), F_19(x) + F_2(x))
Eq(F_19(x), F_20(x) + F_21(x) + F_65(x))
Eq(F_20(x), 0)
Eq(F_21(x), F_22(x)*F_4(x))
Eq(F_22(x), F_23(x) + F_33(x))
Eq(F_23(x), F_24(x) + F_27(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_26(x)*F_4(x))
Eq(F_26(x), F_1(x) + F_4(x))
Eq(F_27(x), F_20(x) + F_28(x) + F_31(x))
Eq(F_28(x), F_29(x)*F_4(x))
Eq(F_29(x), F_16(x) + F_30(x))
Eq(F_30(x), F_17(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_11(x) + F_17(x))
Eq(F_33(x), F_34(x) + F_54(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_36(x)*F_4(x))
Eq(F_36(x), F_37(x) + F_39(x))
Eq(F_37(x), F_24(x) + F_38(x))
Eq(F_38(x), F_28(x))
Eq(F_39(x), F_34(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_4(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_53(x))
Eq(F_43(x), F_44(x) + F_51(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_4(x)*F_46(x))
Eq(F_46(x), F_47(x) + F_49(x))
Eq(F_47(x), F_4(x) + F_48(x))
Eq(F_48(x), F_28(x))
Eq(F_49(x), F_44(x) + F_50(x))
Eq(F_50(x), F_41(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_4(x)*F_43(x))
Eq(F_53(x), F_51(x))
Eq(F_54(x), 2*F_20(x) + F_41(x) + F_55(x))
Eq(F_55(x), F_4(x)*F_56(x))
Eq(F_56(x), F_57(x) + F_60(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_4(x)*F_59(x))
Eq(F_59(x), F_4(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_4(x)*F_62(x))
Eq(F_62(x), F_63(x) + F_64(x))
Eq(F_63(x), F_58(x))
Eq(F_64(x), F_61(x))
Eq(F_65(x), F_4(x)*F_66(x))
Eq(F_66(x), F_67(x) + F_86(x))
Eq(F_67(x), F_2(x) + F_68(x))
Eq(F_68(x), F_20(x) + F_69(x) + F_85(x))
Eq(F_69(x), F_4(x)*F_70(x))
Eq(F_70(x), F_71(x) + F_74(x))
Eq(F_71(x), F_4(x) + F_72(x))
Eq(F_72(x), F_20(x) + F_28(x) + F_73(x))
Eq(F_73(x), F_11(x)*F_4(x))
Eq(F_74(x), F_44(x) + F_75(x))
Eq(F_75(x), 2*F_20(x) + F_41(x) + F_76(x))
Eq(F_76(x), F_4(x)*F_77(x))
Eq(F_77(x), F_78(x) + F_80(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), x**2)
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_4(x)*F_82(x))
Eq(F_82(x), F_83(x) + F_84(x))
Eq(F_83(x), F_79(x))
Eq(F_84(x), F_81(x))
Eq(F_85(x), F_4(x)*F_67(x))
Eq(F_86(x), F_68(x) + F_87(x))
Eq(F_87(x), F_52(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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