0132_1320_2130_2301_3120
Counting sequence:
1, 1, 2, 6, 19, 53, 130, 294, 637, 1355, 2868, 6076, 12903, 27449, 58422, 124258, 263873, 559191, 1182248, 2493496, 5246603, 11014437, 23073802, 48240446, 100670149, 209723043, 436216540, 905979764, 1879059567, 3892326865, 8053077918, 16643014106, 34359755913, 70866979759, 146028909392, 300647734128, 618475316243, 1271310347581, 2611340146418, 5360119218486, 10995116313613, 22539988408187, 46179488408452, 94558000033836, 193514046537079, 395824186051433, 809240558098950, 1653665488234834, 3377699720591697, 6896136929479175, 14073748835605368, 28710447624564136, 58546795155898523, 119345390125405269, 243194379878099162, 495395959010852398, 1008806316531094613, 2053641430081055571, 4179340454199935788, 8502796096475618276, 17293822569102833023, 35164105890508967937, 71481133285624654702, 145268109580462868426, 295147905179352982809, 599519182395560592223, 1217485108864830579360, 2471863705877080097504, 5017514388048998229027, 10182602728687672690285, 20660353362554698017218, 41911002535468101488166, 85002596691653614072733, 172366376624742050535979, 349455119732353746059732, 708354972430446782311068, 1435599410792372145230983, 2908977753447701451915161, 5893513370621317226982358, 11938142468694463100524866, 24178516392292583494436833, 48961495694392481575925687, 99131917208399592326244552, 200681686056028443001576216, 406199075390515402701639339, 822069557337947838800577413, 1663481927789729744396089770, 3365649481807127622382399774, 6808670216069591511945603557, 13772082937049855558253192195, 27853650883921056185230745468, 56326271787484802507910618196, 113890483614254985290719910543, 230256847307080731131237603889, 465465454771302983362071223102, 940834429856889008923334942138, 1901475900342344102245055357353, 3842565881941820373286882158351, 7764359926397905084167307718128, 15687176177824338843521702770256, 31691265005705735037417580757043
Generating function in Maple syntax:
(6*x^7+2*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{6 x^{7}+2 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:
(6*x**7 + 2*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)+6*x^7+2*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)+6 x^{7}+2 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(Or(n = 0,n = 1),1,-7+2/3*n^3-9/2*n^2+59/6*n+1/4*2^n*n)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ -7+\frac{2 n^{3}}{3}-\frac{9 n^{2}}{2}+\frac{59 n}{6}+\frac{2^{n} n}{4} & \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) = 130
a(7) = 294
a(n+2) = 2/3*n^3-17/2*n^2-4*a(n)+4*a(n+1)+167/6*n-24, 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) = 53
a \! \left(6\right) = 130
a \! \left(7\right) = 294
a \! \left(n +2\right) = \frac{2 n^{3}}{3}-\frac{17 n^{2}}{2}-4 a \! \left(n \right)+4 a \! \left(n +1\right)+\frac{167 n}{6}-24, \quad n \geq 8
Specification 1
Strategy pack name: point_placements
Tree: http://www.permpal.com/tree/20192/
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[34,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[18,x]
F[14,x] = F[15,x]
F[15,x] = F[12,x]*F[16,x]
F[16,x] = F[17,x]+F[9,x]
F[17,x] = F[14,x]
F[18,x] = F[19,x]+F[20,x]+F[26,x]
F[19,x] = 0
F[20,x] = F[12,x]*F[21,x]
F[21,x] = F[22,x]+F[25,x]
F[22,x] = F[10,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[12,x]*F[22,x]
F[25,x] = F[18,x]
F[26,x] = F[12,x]*F[27,x]
F[27,x] = F[28,x]+F[31,x]
F[28,x] = F[29,x]
F[29,x] = F[12,x]*F[30,x]
F[30,x] = F[1,x]+F[28,x]
F[31,x] = F[19,x]+F[26,x]+F[32,x]
F[32,x] = F[12,x]*F[33,x]
F[33,x] = F[10,x]+F[31,x]
F[34,x] = F[14,x]+F[35,x]
F[35,x] = F[19,x]+F[36,x]+F[67,x]
F[36,x] = F[12,x]*F[37,x]
F[37,x] = F[38,x]+F[66,x]
F[38,x] = F[39,x]+F[6,x]
F[39,x] = F[19,x]+F[24,x]+F[40,x]
F[40,x] = F[12,x]*F[41,x]
F[41,x] = F[42,x]+F[46,x]
F[42,x] = F[12,x]+F[43,x]
F[43,x] = F[19,x]+F[44,x]+F[45,x]
F[44,x] = F[10,x]*F[12,x]
F[45,x] = F[12,x]*F[42,x]
F[46,x] = F[47,x]+F[52,x]
F[47,x] = F[19,x]+F[44,x]+F[48,x]
F[48,x] = F[12,x]*F[49,x]
F[49,x] = F[50,x]+F[51,x]
F[50,x] = F[12,x]
F[51,x] = F[47,x]
F[52,x] = F[19,x]+F[53,x]+F[54,x]+F[58,x]
F[53,x] = F[12,x]*F[23,x]
F[54,x] = F[12,x]*F[55,x]
F[55,x] = F[56,x]+F[57,x]
F[56,x] = F[43,x]
F[57,x] = F[52,x]
F[58,x] = F[12,x]*F[59,x]
F[59,x] = F[60,x]+F[63,x]
F[60,x] = F[61,x]
F[61,x] = F[12,x]*F[62,x]
F[62,x] = F[12,x]+F[60,x]
F[63,x] = 2*F[19,x]+F[58,x]+F[64,x]
F[64,x] = F[12,x]*F[65,x]
F[65,x] = F[43,x]+F[63,x]
F[66,x] = F[35,x]
F[67,x] = F[12,x]*F[68,x]
F[68,x] = F[27,x]+F[69,x]
F[69,x] = F[70,x]+F[77,x]
F[70,x] = F[19,x]+F[71,x]+F[73,x]
F[71,x] = F[12,x]*F[72,x]
F[72,x] = F[10,x]
F[73,x] = F[12,x]*F[74,x]
F[74,x] = F[75,x]+F[76,x]
F[75,x] = F[28,x]
F[76,x] = F[70,x]
F[77,x] = F[19,x]+F[78,x]+F[81,x]+F[85,x]
F[78,x] = F[12,x]*F[79,x]
F[79,x] = F[80,x]
F[80,x] = F[19,x]+F[24,x]+F[45,x]
F[81,x] = F[12,x]*F[82,x]
F[82,x] = F[83,x]+F[84,x]
F[83,x] = F[31,x]
F[84,x] = F[77,x]
F[85,x] = F[12,x]*F[86,x]
F[86,x] = F[87,x]+F[90,x]
F[87,x] = F[88,x]
F[88,x] = F[12,x]*F[89,x]
F[89,x] = F[28,x]+F[87,x]
F[90,x] = 2*F[19,x]+F[85,x]+F[91,x]
F[91,x] = F[12,x]*F[92,x]
F[92,x] = F[31,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_{34}\! \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_{18}\! \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_{17}\! \left(x \right)+F_{9}\! \left(x \right)
F_{17}\! \left(x \right) = F_{14}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)+F_{26}\! \left(x \right)
F_{19}\! \left(x \right) = 0
F_{20}\! \left(x \right) = F_{12}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{25}\! \left(x \right)
F_{22}\! \left(x \right) = F_{10}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{12}\! \left(x \right) F_{22}\! \left(x \right)
F_{25}\! \left(x \right) = F_{18}\! \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_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{12}\! \left(x \right) F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{1}\! \left(x \right)+F_{28}\! \left(x \right)
F_{31}\! \left(x \right) = F_{19}\! \left(x \right)+F_{26}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{12}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{10}\! \left(x \right)+F_{31}\! \left(x \right)
F_{34}\! \left(x \right) = F_{14}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{19}\! \left(x \right)+F_{36}\! \left(x \right)+F_{67}\! \left(x \right)
F_{36}\! \left(x \right) = F_{12}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{66}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{6}\! \left(x \right)
F_{39}\! \left(x \right) = F_{19}\! \left(x \right)+F_{24}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{12}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{46}\! \left(x \right)
F_{42}\! \left(x \right) = F_{12}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{19}\! \left(x \right)+F_{44}\! \left(x \right)+F_{45}\! \left(x \right)
F_{44}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \left(x \right)
F_{45}\! \left(x \right) = F_{12}\! \left(x \right) F_{42}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{52}\! \left(x \right)
F_{47}\! \left(x \right) = F_{19}\! \left(x \right)+F_{44}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{12}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{51}\! \left(x \right)
F_{50}\! \left(x \right) = F_{12}\! \left(x \right)
F_{51}\! \left(x \right) = F_{47}\! \left(x \right)
F_{52}\! \left(x \right) = F_{19}\! \left(x \right)+F_{53}\! \left(x \right)+F_{54}\! \left(x \right)+F_{58}\! \left(x \right)
F_{53}\! \left(x \right) = F_{12}\! \left(x \right) F_{23}\! \left(x \right)
F_{54}\! \left(x \right) = F_{12}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{57}\! \left(x \right)
F_{56}\! \left(x \right) = F_{43}\! \left(x \right)
F_{57}\! \left(x \right) = F_{52}\! \left(x \right)
F_{58}\! \left(x \right) = F_{12}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{63}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{12}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{12}\! \left(x \right)+F_{60}\! \left(x \right)
F_{63}\! \left(x \right) = 2 F_{19}\! \left(x \right)+F_{58}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{12}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{43}\! \left(x \right)+F_{63}\! \left(x \right)
F_{66}\! \left(x \right) = F_{35}\! \left(x \right)
F_{67}\! \left(x \right) = F_{12}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{27}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{77}\! \left(x \right)
F_{70}\! \left(x \right) = F_{19}\! \left(x \right)+F_{71}\! \left(x \right)+F_{73}\! \left(x \right)
F_{71}\! \left(x \right) = F_{12}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{10}\! \left(x \right)
F_{73}\! \left(x \right) = F_{12}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{76}\! \left(x \right)
F_{75}\! \left(x \right) = F_{28}\! \left(x \right)
F_{76}\! \left(x \right) = F_{70}\! \left(x \right)
F_{77}\! \left(x \right) = F_{19}\! \left(x \right)+F_{78}\! \left(x \right)+F_{81}\! \left(x \right)+F_{85}\! \left(x \right)
F_{78}\! \left(x \right) = F_{12}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{19}\! \left(x \right)+F_{24}\! \left(x \right)+F_{45}\! \left(x \right)
F_{81}\! \left(x \right) = F_{12}\! \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_{31}\! \left(x \right)
F_{84}\! \left(x \right) = F_{77}\! \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_{90}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{12}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{28}\! \left(x \right)+F_{87}\! \left(x \right)
F_{90}\! \left(x \right) = 2 F_{19}\! \left(x \right)+F_{85}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{12}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{31}\! \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_34(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_18(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_12(x)*F_16(x))
Eq(F_16(x), F_17(x) + F_9(x))
Eq(F_17(x), F_14(x))
Eq(F_18(x), F_19(x) + F_20(x) + F_26(x))
Eq(F_19(x), 0)
Eq(F_20(x), F_12(x)*F_21(x))
Eq(F_21(x), F_22(x) + F_25(x))
Eq(F_22(x), F_10(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_12(x)*F_22(x))
Eq(F_25(x), F_18(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_29(x))
Eq(F_29(x), F_12(x)*F_30(x))
Eq(F_30(x), F_1(x) + F_28(x))
Eq(F_31(x), F_19(x) + F_26(x) + F_32(x))
Eq(F_32(x), F_12(x)*F_33(x))
Eq(F_33(x), F_10(x) + F_31(x))
Eq(F_34(x), F_14(x) + F_35(x))
Eq(F_35(x), F_19(x) + F_36(x) + F_67(x))
Eq(F_36(x), F_12(x)*F_37(x))
Eq(F_37(x), F_38(x) + F_66(x))
Eq(F_38(x), F_39(x) + F_6(x))
Eq(F_39(x), F_19(x) + F_24(x) + F_40(x))
Eq(F_40(x), F_12(x)*F_41(x))
Eq(F_41(x), F_42(x) + F_46(x))
Eq(F_42(x), F_12(x) + F_43(x))
Eq(F_43(x), F_19(x) + F_44(x) + F_45(x))
Eq(F_44(x), F_10(x)*F_12(x))
Eq(F_45(x), F_12(x)*F_42(x))
Eq(F_46(x), F_47(x) + F_52(x))
Eq(F_47(x), F_19(x) + F_44(x) + F_48(x))
Eq(F_48(x), F_12(x)*F_49(x))
Eq(F_49(x), F_50(x) + F_51(x))
Eq(F_50(x), F_12(x))
Eq(F_51(x), F_47(x))
Eq(F_52(x), F_19(x) + F_53(x) + F_54(x) + F_58(x))
Eq(F_53(x), F_12(x)*F_23(x))
Eq(F_54(x), F_12(x)*F_55(x))
Eq(F_55(x), F_56(x) + F_57(x))
Eq(F_56(x), F_43(x))
Eq(F_57(x), F_52(x))
Eq(F_58(x), F_12(x)*F_59(x))
Eq(F_59(x), F_60(x) + F_63(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_12(x)*F_62(x))
Eq(F_62(x), F_12(x) + F_60(x))
Eq(F_63(x), 2*F_19(x) + F_58(x) + F_64(x))
Eq(F_64(x), F_12(x)*F_65(x))
Eq(F_65(x), F_43(x) + F_63(x))
Eq(F_66(x), F_35(x))
Eq(F_67(x), F_12(x)*F_68(x))
Eq(F_68(x), F_27(x) + F_69(x))
Eq(F_69(x), F_70(x) + F_77(x))
Eq(F_70(x), F_19(x) + F_71(x) + F_73(x))
Eq(F_71(x), F_12(x)*F_72(x))
Eq(F_72(x), F_10(x))
Eq(F_73(x), F_12(x)*F_74(x))
Eq(F_74(x), F_75(x) + F_76(x))
Eq(F_75(x), F_28(x))
Eq(F_76(x), F_70(x))
Eq(F_77(x), F_19(x) + F_78(x) + F_81(x) + F_85(x))
Eq(F_78(x), F_12(x)*F_79(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_19(x) + F_24(x) + F_45(x))
Eq(F_81(x), F_12(x)*F_82(x))
Eq(F_82(x), F_83(x) + F_84(x))
Eq(F_83(x), F_31(x))
Eq(F_84(x), F_77(x))
Eq(F_85(x), F_12(x)*F_86(x))
Eq(F_86(x), F_87(x) + F_90(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_12(x)*F_89(x))
Eq(F_89(x), F_28(x) + F_87(x))
Eq(F_90(x), 2*F_19(x) + F_85(x) + F_91(x))
Eq(F_91(x), F_12(x)*F_92(x))
Eq(F_92(x), F_31(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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