0123_0132_1302_3102
Counting sequence:
1, 1, 2, 6, 20, 62, 181, 503, 1348, 3519, 9014, 22773, 56951, 141344, 348778, 856838, 2097760, 5122026, 12479597, 30354255, 73730048, 178891523, 433656550, 1050473885, 2543114251, 6153675948, 14884338314, 35989975590, 86999339180, 210258435590, 508055259493, 1227446220887, 2965100887708, 7161952190967, 17297610134486, 41774376486837, 100880761934591, 243604683078632, 588227669379370, 1420335065324342, 3429447823756120, 8280330657958674, 19992308864337629, 48269347568048079, 116539801929767768, 281366546584842971, 679308084279069382, 1640053091665901309, 3959555017685496211, 9559444622378615316, 23079007245347428106, 55718585066296605174, 134518429264021894820, 324759947333551627598, 784047331356231324565, 1892872624809959054711, 4569828610364455127668, 11032601904089629263855, 26635176535279798266998, 64303243207530108291381, 155242239415145057810951, 374788874965882301079920, 904822295200529083522282, 2184438077070126575689766, 5273707672740596979712720, 12731871869340339814879482, 30737488304982147488822861, 74206922266398598661192463, 179151480411922326978329648, 432510178238456493491847539, 1044172427185144126679555494, 2520856213201171979795311133, 6085887214772034490637713051, 14692635365113835315793928764, 35471167389736087316138904458, 85634989034057469366353476998, 206741183236791833400331359260, 499117431065519334415364290646, 1204976196483581370788055246277, 2909070126264174868711141603415, 7023117053474902221315647417548, 16955305442139898120824705899943, 40933730355606498192867224996630, 98822770989056432660572765840245, 238579282005126340627186881815951, 575981354342122907640650963382968, 1390542029374999483664400765281194, 3357065490463376110285135679854550, 8104673165044259494974400858196680, 19566412130036909581625616496559010, 47237498044088105841029576047222973, 114041409456153172749225458612005647, 275320319432274549650515262937705608, 664682053272462461132211719074013387, 1604684435880719837878689755137048966, 3874050944840942849076819117582521597, 9352786365176686928466349131780813091, 22579623754422479439196850809243266852, 54512034032477971189613574116617162250, 131603692136291072448629193430470476502, 317719418938885417128359353918988716820
Generating function in Maple syntax:
(2*x^8+x^7-3*x^6-2*x^5+7*x^4+5*x^3-12*x^2+6*x-1)/(2*x-1)/(x^2+x-1)/(x^2+2*x-1)/(x-1)^2
Generating function in latex syntax:
\frac{2 x^{8}+x^{7}-3 x^{6}-2 x^{5}+7 x^{4}+5 x^{3}-12 x^{2}+6 x -1}{\left(2 x -1\right) \left(x^{2}+x -1\right) \left(x^{2}+2 x -1\right) \left(x -1\right)^{2}}
Generating function in sympy syntax:
(2*x**8 + x**7 - 3*x**6 - 2*x**5 + 7*x**4 + 5*x**3 - 12*x**2 + 6*x - 1)/((x - 1)**2*(2*x - 1)*(x**2 + x - 1)*(x**2 + 2*x - 1))
Implicit equation for the generating function in Maple syntax:
-(2*x-1)*(x^2+x-1)*(x^2+2*x-1)*(x-1)^2*F(x)+2*x^8+x^7-3*x^6-2*x^5+7*x^4+5*x^3-12*x^2+6*x-1 = 0
Implicit equation for the generating function in latex syntax:
-\left(2 x -1\right) \left(x^{2}+x -1\right) \left(x^{2}+2 x -1\right) \left(x -1\right)^{2} F \! \left(x \right)+2 x^{8}+x^{7}-3 x^{6}-2 x^{5}+7 x^{4}+5 x^{3}-12 x^{2}+6 x -1 = 0
Explicit closed form in Maple syntax:
piecewise(n = 0,2,1/40*(16*5^(1/2)-40)*(-1/2*5^(1/2)-1/2)^(-n)+1/40*(-16*5^(1/2)-40)*(1/2*5^(1/2)-1/2)^(-n)+1/40*(-5*2^(1/2)+60)*(-1-2^(1/2))^(-n)+1/40*(5*2^(1/2)+60)*(2^(1/2)-1)^(-n)+3/2*n-2^(n+1)+2)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}2 & n =0 \\ \frac{\left(16 \sqrt{5}-40\right) \left(-\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{-n}}{40}+\frac{\left(-16 \sqrt{5}-40\right) \left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{-n}}{40}+\\\frac{\left(-5 \sqrt{2}+60\right) \left(-1-\sqrt{2}\right)^{-n}}{40}+\frac{\left(5 \sqrt{2}+60\right) \left(\sqrt{2}-1\right)^{-n}}{40}+\frac{3 n}{2}-2^{n +1}\\+2 & \mathit{\text{otherwise}} \end{array}\right.
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 20
a(5) = 62
a(6) = 181
a(7) = 503
a(8) = 1348
a(n+5) = 2*a(n)+5*a(n+1)-3*a(n+2)-6*a(n+3)+5*a(n+4)-3*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) = 20
a \! \left(5\right) = 62
a \! \left(6\right) = 181
a \! \left(7\right) = 503
a \! \left(8\right) = 1348
a \! \left(n +5\right) = 2 a \! \left(n \right)+5 a \! \left(n +1\right)-3 a \! \left(n +2\right)-6 a \! \left(n +3\right)+5 a \! \left(n +4\right)-3 n +2, \quad n \geq 9
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/14863/
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[24,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[18,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[16,x] = F[17,x]
F[17,x] = F[12,x]*F[4,x]
F[18,x] = F[17,x]+F[19,x]+F[20,x]
F[19,x] = 0
F[20,x] = F[21,x]*F[4,x]
F[21,x] = F[22,x]+F[23,x]
F[22,x] = F[4,x]
F[23,x] = F[18,x]
F[24,x] = F[25,x]+F[39,x]
F[25,x] = F[26,x]
F[26,x] = F[27,x]*F[4,x]
F[27,x] = F[28,x]+F[29,x]
F[28,x] = F[1,x]+F[12,x]
F[29,x] = F[25,x]+F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[33,x]+F[36,x]
F[33,x] = F[25,x]+F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[25,x]*F[4,x]
F[36,x] = F[30,x]+F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[30,x]*F[4,x]
F[39,x] = F[19,x]+F[40,x]+F[83,x]
F[40,x] = F[4,x]*F[41,x]
F[41,x] = F[42,x]+F[57,x]
F[42,x] = F[43,x]+F[7,x]
F[43,x] = F[19,x]+F[20,x]+F[44,x]
F[44,x] = F[4,x]*F[45,x]
F[45,x] = F[11,x]+F[46,x]
F[46,x] = F[47,x]+F[53,x]
F[47,x] = F[48,x]
F[48,x] = F[4,x]*F[49,x]
F[49,x] = F[15,x]+F[50,x]
F[50,x] = F[47,x]+F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[4,x]*F[47,x]
F[53,x] = 2*F[19,x]+F[52,x]+F[54,x]
F[54,x] = F[4,x]*F[55,x]
F[55,x] = F[23,x]+F[56,x]
F[56,x] = F[53,x]
F[57,x] = F[39,x]+F[58,x]
F[58,x] = 2*F[19,x]+F[59,x]+F[69,x]
F[59,x] = F[4,x]*F[60,x]
F[60,x] = F[61,x]+F[68,x]
F[61,x] = F[62,x]
F[62,x] = F[19,x]+F[35,x]+F[63,x]
F[63,x] = F[4,x]*F[64,x]
F[64,x] = F[65,x]+F[66,x]
F[65,x] = F[18,x]+F[4,x]
F[66,x] = F[62,x]+F[67,x]
F[67,x] = 2*F[19,x]+F[38,x]+F[59,x]
F[68,x] = F[67,x]
F[69,x] = F[4,x]*F[70,x]
F[70,x] = F[71,x]+F[72,x]
F[71,x] = F[30,x]+F[67,x]
F[72,x] = F[73,x]+F[79,x]
F[73,x] = F[74,x]
F[74,x] = F[4,x]*F[75,x]
F[75,x] = F[36,x]+F[76,x]
F[76,x] = F[73,x]+F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[4,x]*F[73,x]
F[79,x] = 3*F[19,x]+F[78,x]+F[80,x]
F[80,x] = F[4,x]*F[81,x]
F[81,x] = F[68,x]+F[82,x]
F[82,x] = F[79,x]
F[83,x] = F[4,x]*F[84,x]
F[84,x] = F[71,x]+F[85,x]
F[85,x] = F[25,x]+F[62,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_{24}\! \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_{18}\! \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_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{18}\! \left(x \right) = F_{17}\! \left(x \right)+F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = 0
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{23}\! \left(x \right)
F_{22}\! \left(x \right) = F_{4}\! \left(x \right)
F_{23}\! \left(x \right) = F_{18}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{39}\! \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_{29}\! \left(x \right)
F_{28}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{29}\! \left(x \right) = F_{25}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \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_{36}\! \left(x \right)
F_{33}\! \left(x \right) = F_{25}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{36}\! \left(x \right) = F_{30}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{30}\! \left(x \right) F_{4}\! \left(x \right)
F_{39}\! \left(x \right) = F_{19}\! \left(x \right)+F_{40}\! \left(x \right)+F_{83}\! \left(x \right)
F_{40}\! \left(x \right) = F_{4}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{57}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{7}\! \left(x \right)
F_{43}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{4}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{11}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{53}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{15}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{47}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{53}\! \left(x \right) = 2 F_{19}\! \left(x \right)+F_{52}\! \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_{23}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{53}\! \left(x \right)
F_{57}\! \left(x \right) = F_{39}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = 2 F_{19}\! \left(x \right)+F_{59}\! \left(x \right)+F_{69}\! \left(x \right)
F_{59}\! \left(x \right) = F_{4}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{68}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{19}\! \left(x \right)+F_{35}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{4}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{66}\! \left(x \right)
F_{65}\! \left(x \right) = F_{18}\! \left(x \right)+F_{4}\! \left(x \right)
F_{66}\! \left(x \right) = F_{62}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = 2 F_{19}\! \left(x \right)+F_{38}\! \left(x \right)+F_{59}\! \left(x \right)
F_{68}\! \left(x \right) = F_{67}\! \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_{72}\! \left(x \right)
F_{71}\! \left(x \right) = F_{30}\! \left(x \right)+F_{67}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{79}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{4}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{36}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{73}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{73}\! \left(x \right)
F_{79}\! \left(x \right) = 3 F_{19}\! \left(x \right)+F_{78}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{4}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{68}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{79}\! \left(x \right)
F_{83}\! \left(x \right) = F_{4}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{71}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{25}\! \left(x \right)+F_{62}\! \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_24(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_18(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) + F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_12(x)*F_4(x))
Eq(F_18(x), F_17(x) + F_19(x) + F_20(x))
Eq(F_19(x), 0)
Eq(F_20(x), F_21(x)*F_4(x))
Eq(F_21(x), F_22(x) + F_23(x))
Eq(F_22(x), F_4(x))
Eq(F_23(x), F_18(x))
Eq(F_24(x), F_25(x) + F_39(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_29(x))
Eq(F_28(x), F_1(x) + F_12(x))
Eq(F_29(x), F_25(x) + F_30(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_33(x) + F_36(x))
Eq(F_33(x), F_25(x) + F_34(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_25(x)*F_4(x))
Eq(F_36(x), F_30(x) + F_37(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_30(x)*F_4(x))
Eq(F_39(x), F_19(x) + F_40(x) + F_83(x))
Eq(F_40(x), F_4(x)*F_41(x))
Eq(F_41(x), F_42(x) + F_57(x))
Eq(F_42(x), F_43(x) + F_7(x))
Eq(F_43(x), F_19(x) + F_20(x) + F_44(x))
Eq(F_44(x), F_4(x)*F_45(x))
Eq(F_45(x), F_11(x) + F_46(x))
Eq(F_46(x), F_47(x) + F_53(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_4(x)*F_49(x))
Eq(F_49(x), F_15(x) + F_50(x))
Eq(F_50(x), F_47(x) + F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_4(x)*F_47(x))
Eq(F_53(x), 2*F_19(x) + F_52(x) + F_54(x))
Eq(F_54(x), F_4(x)*F_55(x))
Eq(F_55(x), F_23(x) + F_56(x))
Eq(F_56(x), F_53(x))
Eq(F_57(x), F_39(x) + F_58(x))
Eq(F_58(x), 2*F_19(x) + F_59(x) + F_69(x))
Eq(F_59(x), F_4(x)*F_60(x))
Eq(F_60(x), F_61(x) + F_68(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_19(x) + F_35(x) + F_63(x))
Eq(F_63(x), F_4(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_66(x))
Eq(F_65(x), F_18(x) + F_4(x))
Eq(F_66(x), F_62(x) + F_67(x))
Eq(F_67(x), 2*F_19(x) + F_38(x) + F_59(x))
Eq(F_68(x), F_67(x))
Eq(F_69(x), F_4(x)*F_70(x))
Eq(F_70(x), F_71(x) + F_72(x))
Eq(F_71(x), F_30(x) + F_67(x))
Eq(F_72(x), F_73(x) + F_79(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_4(x)*F_75(x))
Eq(F_75(x), F_36(x) + F_76(x))
Eq(F_76(x), F_73(x) + F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_4(x)*F_73(x))
Eq(F_79(x), 3*F_19(x) + F_78(x) + F_80(x))
Eq(F_80(x), F_4(x)*F_81(x))
Eq(F_81(x), F_68(x) + F_82(x))
Eq(F_82(x), F_79(x))
Eq(F_83(x), F_4(x)*F_84(x))
Eq(F_84(x), F_71(x) + F_85(x))
Eq(F_85(x), F_25(x) + F_62(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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