0132_0321_1230_3021_3120
Counting sequence:
1, 1, 2, 6, 19, 53, 133, 312, 703, 1547, 3357, 7222, 15447, 32897, 69813, 147700, 311615, 655767, 1376765, 2884210, 6030071, 12583821, 26215477, 54527216, 113247679, 234882723, 486541213, 1006635182, 2080377303, 4294970137, 8858373237, 18253614572, 37580967807, 77309415727, 158913794813, 326417519850, 670014904055, 1374389541157, 2817498553205, 5772436053480, 11819750006911, 24189255820091, 49478023259677, 101155069765926, 206708186033239, 422212465078193, 862017116189493, 1759218604455652, 3588805953075903, 7318349394493127, 14918173765681917, 30399297484769122, 61924494876363767, 126100789566394557, 256705178760140213, 522417556775000800, 1062849512059461695, 2161727821137864147, 4395513236313631645, 8935141660703093150, 18158513697557870551, 36893488147419135561, 74939897799445087477, 152185638608103836636, 308982963234635027199, 627189298506124794463, 1272825341085959102973, 2582544170319337269722, 5238875316933512704503, 10625324586456701778517, 21545797078092756337397, 43681889966544218278872, 88544371553805847811327, 179449926349046518177387, 363622219180962681514013, 736689171327664653398550, 1492267808586807887592535, 3022314549036572936832737, 6120186961799060197020085, 12391489651049949040811220, 25085210757003555375228991, 50774884423814425337738231, 102758694667243479850106877, 207935240973716218049547346, 420706185225890952797837559, 851083777008698938993239533, 1721510367131231944781689653, 3481706360490132023153885392, 7040783973435600313488871103, 14236310451781873161340034307, 28782105913385091391404747677, 58183181846412872920258951822, 117604303732111126115416918487, 237684487542793012780631972217, 480320735242727546660860324213, 970544990799738135520913521100, 1960897022228042355440212904575, 3961408125713216879677197654927, 8002044413940698096947939126525, 16162545152909924869082966015690, 32642002955876907088540107690231
Generating function in Maple syntax:
(5*x^6-10*x^5+20*x^4-28*x^3+20*x^2-7*x+1)/(2*x-1)^2/(x-1)^4
Generating function in latex syntax:
\frac{5 x^{6}-10 x^{5}+20 x^{4}-28 x^{3}+20 x^{2}-7 x +1}{\left(2 x -1\right)^{2} \left(x -1\right)^{4}}
Generating function in sympy syntax:
(5*x**6 - 10*x**5 + 20*x**4 - 28*x**3 + 20*x**2 - 7*x + 1)/((x - 1)**4*(2*x - 1)**2)
Implicit equation for the generating function in Maple syntax:
(2*x-1)^2*(x-1)^4*F(x)-5*x^6+10*x^5-20*x^4+28*x^3-20*x^2+7*x-1 = 0
Implicit equation for the generating function in latex syntax:
\left(2 x -1\right)^{2} \left(x -1\right)^{4} F \! \left(x \right)-5 x^{6}+10 x^{5}-20 x^{4}+28 x^{3}-20 x^{2}+7 x -1 = 0
Explicit closed form in Maple syntax:
piecewise(n = 0,1,1/12*(3*n+9)*2^n+1/6*n^3-3/2*n^2+4/3*n-1)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0 \\ \frac{\left(3 n +9\right) 2^{n}}{12}+\frac{n^{3}}{6}-\frac{3 n^{2}}{2}+\frac{4 n}{3}-1 & \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) = 53
a(6) = 133
a(n+2) = 1/6*n^3-5/2*n^2-4*a(n)+4*a(n+1)+22/3*n-3, 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) = 19
a \! \left(5\right) = 53
a \! \left(6\right) = 133
a \! \left(n +2\right) = \frac{n^{3}}{6}-\frac{5 n^{2}}{2}-4 a \! \left(n \right)+4 a \! \left(n +1\right)+\frac{22 n}{3}-3, \quad n \geq 7
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/19519/
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[12,x]*F[4,x]
F[4,x] = F[24,x]+F[5,x]
F[5,x] = F[1,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[12,x]*F[8,x]
F[8,x] = F[13,x]+F[9,x]
F[9,x] = F[1,x]+F[10,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[9,x]
F[12,x] = x
F[13,x] = F[14,x]+F[17,x]
F[14,x] = F[15,x]
F[15,x] = F[12,x]*F[16,x]
F[16,x] = F[1,x]+F[12,x]
F[17,x] = F[18,x]+F[19,x]+F[23,x]
F[18,x] = 0
F[19,x] = F[12,x]*F[20,x]
F[20,x] = F[10,x]+F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[10,x]*F[12,x]
F[23,x] = F[12,x]*F[13,x]
F[24,x] = F[25,x]+F[37,x]
F[25,x] = F[26,x]
F[26,x] = F[12,x]*F[27,x]
F[27,x] = F[28,x]+F[31,x]
F[28,x] = F[1,x]+F[29,x]
F[29,x] = F[30,x]
F[30,x] = F[12,x]*F[16,x]
F[31,x] = F[25,x]+F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[12,x]*F[34,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[29,x]
F[36,x] = F[32,x]
F[37,x] = F[18,x]+F[38,x]+F[75,x]
F[38,x] = F[12,x]*F[39,x]
F[39,x] = F[40,x]+F[55,x]
F[40,x] = F[41,x]+F[6,x]
F[41,x] = F[18,x]+F[42,x]+F[47,x]
F[42,x] = F[12,x]*F[43,x]
F[43,x] = F[10,x]+F[44,x]
F[44,x] = F[18,x]+F[22,x]+F[45,x]
F[45,x] = F[12,x]*F[46,x]
F[46,x] = F[12,x]+F[44,x]
F[47,x] = F[12,x]*F[48,x]
F[48,x] = F[46,x]+F[49,x]
F[49,x] = F[50,x]+F[52,x]
F[50,x] = F[51,x]
F[51,x] = x^2
F[52,x] = 2*F[18,x]+F[53,x]+F[54,x]
F[53,x] = F[12,x]*F[21,x]
F[54,x] = F[12,x]*F[49,x]
F[55,x] = F[37,x]+F[56,x]
F[56,x] = 2*F[18,x]+F[57,x]+F[61,x]
F[57,x] = F[12,x]*F[58,x]
F[58,x] = F[59,x]+F[60,x]
F[59,x] = F[41,x]
F[60,x] = F[56,x]
F[61,x] = F[12,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[64,x]+F[69,x]
F[64,x] = F[65,x]
F[65,x] = F[12,x]*F[66,x]
F[66,x] = F[67,x]+F[68,x]
F[67,x] = F[12,x]
F[68,x] = F[64,x]
F[69,x] = 2*F[18,x]+F[70,x]+F[74,x]
F[70,x] = F[12,x]*F[71,x]
F[71,x] = F[72,x]+F[73,x]
F[72,x] = F[44,x]
F[73,x] = F[69,x]
F[74,x] = F[12,x]*F[63,x]
F[75,x] = F[12,x]*F[76,x]
F[76,x] = F[77,x]+F[90,x]
F[77,x] = F[25,x]+F[78,x]
F[78,x] = F[18,x]+F[79,x]+F[89,x]
F[79,x] = F[12,x]*F[80,x]
F[80,x] = F[81,x]+F[83,x]
F[81,x] = F[10,x]+F[82,x]
F[82,x] = F[18,x]+F[42,x]+F[45,x]
F[83,x] = F[78,x]+F[84,x]
F[84,x] = 2*F[18,x]+F[74,x]+F[85,x]
F[85,x] = F[12,x]*F[86,x]
F[86,x] = F[87,x]+F[88,x]
F[87,x] = F[82,x]
F[88,x] = F[84,x]
F[89,x] = F[12,x]*F[77,x]
F[90,x] = F[91,x]+F[92,x]
F[91,x] = F[65,x]
F[92,x] = 2*F[18,x]+F[70,x]+F[93,x]
F[93,x] = F[12,x]*F[90,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_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{24}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{1}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{12}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{13}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{1}\! \left(x \right)+F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{9}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{17}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{12}\! \left(x \right) F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{19}\! \left(x \right)+F_{23}\! \left(x \right)
F_{18}\! \left(x \right) = 0
F_{19}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{10}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \left(x \right)
F_{23}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{37}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{12}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{31}\! \left(x \right)
F_{28}\! \left(x \right) = F_{1}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{12}\! \left(x \right) F_{16}\! \left(x \right)
F_{31}\! \left(x \right) = F_{25}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{12}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{29}\! \left(x \right)
F_{36}\! \left(x \right) = F_{32}\! \left(x \right)
F_{37}\! \left(x \right) = F_{18}\! \left(x \right)+F_{38}\! \left(x \right)+F_{75}\! \left(x \right)
F_{38}\! \left(x \right) = F_{12}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{55}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{6}\! \left(x \right)
F_{41}\! \left(x \right) = F_{18}\! \left(x \right)+F_{42}\! \left(x \right)+F_{47}\! \left(x \right)
F_{42}\! \left(x \right) = F_{12}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{10}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{18}\! \left(x \right)+F_{22}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{12}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{12}\! \left(x \right)+F_{44}\! \left(x \right)
F_{47}\! \left(x \right) = F_{12}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{46}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{52}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = x^{2}
F_{52}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{53}\! \left(x \right)+F_{54}\! \left(x \right)
F_{53}\! \left(x \right) = F_{12}\! \left(x \right) F_{21}\! \left(x \right)
F_{54}\! \left(x \right) = F_{12}\! \left(x \right) F_{49}\! \left(x \right)
F_{55}\! \left(x \right) = F_{37}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{57}\! \left(x \right)+F_{61}\! \left(x \right)
F_{57}\! \left(x \right) = F_{12}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{60}\! \left(x \right)
F_{59}\! \left(x \right) = F_{41}\! \left(x \right)
F_{60}\! \left(x \right) = F_{56}\! \left(x \right)
F_{61}\! \left(x \right) = F_{12}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{69}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{12}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{12}\! \left(x \right)
F_{68}\! \left(x \right) = F_{64}\! \left(x \right)
F_{69}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{70}\! \left(x \right)+F_{74}\! \left(x \right)
F_{70}\! \left(x \right) = F_{12}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{73}\! \left(x \right)
F_{72}\! \left(x \right) = F_{44}\! \left(x \right)
F_{73}\! \left(x \right) = F_{69}\! \left(x \right)
F_{74}\! \left(x \right) = F_{12}\! \left(x \right) F_{63}\! \left(x \right)
F_{75}\! \left(x \right) = F_{12}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{90}\! \left(x \right)
F_{77}\! \left(x \right) = F_{25}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{18}\! \left(x \right)+F_{79}\! \left(x \right)+F_{89}\! \left(x \right)
F_{79}\! \left(x \right) = F_{12}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{83}\! \left(x \right)
F_{81}\! \left(x \right) = F_{10}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{18}\! \left(x \right)+F_{42}\! \left(x \right)+F_{45}\! \left(x \right)
F_{83}\! \left(x \right) = F_{78}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{74}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{12}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)+F_{88}\! \left(x \right)
F_{87}\! \left(x \right) = F_{82}\! \left(x \right)
F_{88}\! \left(x \right) = F_{84}\! \left(x \right)
F_{89}\! \left(x \right) = F_{12}\! \left(x \right) F_{77}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{92}\! \left(x \right)
F_{91}\! \left(x \right) = F_{65}\! \left(x \right)
F_{92}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{70}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{12}\! \left(x \right) F_{90}\! \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_12(x)*F_4(x))
Eq(F_4(x), F_24(x) + F_5(x))
Eq(F_5(x), F_1(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_12(x)*F_8(x))
Eq(F_8(x), F_13(x) + F_9(x))
Eq(F_9(x), F_1(x) + F_10(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_9(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x) + F_17(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_12(x)*F_16(x))
Eq(F_16(x), F_1(x) + F_12(x))
Eq(F_17(x), F_18(x) + F_19(x) + F_23(x))
Eq(F_18(x), 0)
Eq(F_19(x), F_12(x)*F_20(x))
Eq(F_20(x), F_10(x) + F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_10(x)*F_12(x))
Eq(F_23(x), F_12(x)*F_13(x))
Eq(F_24(x), F_25(x) + F_37(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_12(x)*F_27(x))
Eq(F_27(x), F_28(x) + F_31(x))
Eq(F_28(x), F_1(x) + F_29(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_12(x)*F_16(x))
Eq(F_31(x), F_25(x) + F_32(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_12(x)*F_34(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_29(x))
Eq(F_36(x), F_32(x))
Eq(F_37(x), F_18(x) + F_38(x) + F_75(x))
Eq(F_38(x), F_12(x)*F_39(x))
Eq(F_39(x), F_40(x) + F_55(x))
Eq(F_40(x), F_41(x) + F_6(x))
Eq(F_41(x), F_18(x) + F_42(x) + F_47(x))
Eq(F_42(x), F_12(x)*F_43(x))
Eq(F_43(x), F_10(x) + F_44(x))
Eq(F_44(x), F_18(x) + F_22(x) + F_45(x))
Eq(F_45(x), F_12(x)*F_46(x))
Eq(F_46(x), F_12(x) + F_44(x))
Eq(F_47(x), F_12(x)*F_48(x))
Eq(F_48(x), F_46(x) + F_49(x))
Eq(F_49(x), F_50(x) + F_52(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), x**2)
Eq(F_52(x), 2*F_18(x) + F_53(x) + F_54(x))
Eq(F_53(x), F_12(x)*F_21(x))
Eq(F_54(x), F_12(x)*F_49(x))
Eq(F_55(x), F_37(x) + F_56(x))
Eq(F_56(x), 2*F_18(x) + F_57(x) + F_61(x))
Eq(F_57(x), F_12(x)*F_58(x))
Eq(F_58(x), F_59(x) + F_60(x))
Eq(F_59(x), F_41(x))
Eq(F_60(x), F_56(x))
Eq(F_61(x), F_12(x)*F_62(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_64(x) + F_69(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_12(x)*F_66(x))
Eq(F_66(x), F_67(x) + F_68(x))
Eq(F_67(x), F_12(x))
Eq(F_68(x), F_64(x))
Eq(F_69(x), 2*F_18(x) + F_70(x) + F_74(x))
Eq(F_70(x), F_12(x)*F_71(x))
Eq(F_71(x), F_72(x) + F_73(x))
Eq(F_72(x), F_44(x))
Eq(F_73(x), F_69(x))
Eq(F_74(x), F_12(x)*F_63(x))
Eq(F_75(x), F_12(x)*F_76(x))
Eq(F_76(x), F_77(x) + F_90(x))
Eq(F_77(x), F_25(x) + F_78(x))
Eq(F_78(x), F_18(x) + F_79(x) + F_89(x))
Eq(F_79(x), F_12(x)*F_80(x))
Eq(F_80(x), F_81(x) + F_83(x))
Eq(F_81(x), F_10(x) + F_82(x))
Eq(F_82(x), F_18(x) + F_42(x) + F_45(x))
Eq(F_83(x), F_78(x) + F_84(x))
Eq(F_84(x), 2*F_18(x) + F_74(x) + F_85(x))
Eq(F_85(x), F_12(x)*F_86(x))
Eq(F_86(x), F_87(x) + F_88(x))
Eq(F_87(x), F_82(x))
Eq(F_88(x), F_84(x))
Eq(F_89(x), F_12(x)*F_77(x))
Eq(F_90(x), F_91(x) + F_92(x))
Eq(F_91(x), F_65(x))
Eq(F_92(x), 2*F_18(x) + F_70(x) + F_93(x))
Eq(F_93(x), F_12(x)*F_90(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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