0132_0231_1230_1320_2130
Counting sequence:
1, 1, 2, 6, 19, 59, 176, 507, 1423, 3920, 10655, 28683, 76672, 203891, 540119, 1426704, 3760471, 9895667, 26008448, 68293515, 179199775, 469961168, 1231994447, 3228643611, 8459179264, 22159379939, 58039932071, 152002359312, 398051031943, 1042318508675, 2729240038400, 7146072695163, 18710320224367, 48987572332496, 128257765482239, 335796461532459, 879153093951616, 2301705769995347, 6026050115380343, 15776616374837520, 41304142606515895, 108136498639477523, 283106727701451392, 741186433243946091, 1940458069588525759, 5080198770637908944, 13300160232557756591, 34820325907500471867, 91160905450873881088, 238662566366981615555, 624827145493791853895, 1635819573801835722768, 4282632983286598867687, 11212082190807727986851, 29353619218636119305984, 76848786724099698357339, 201192763471661112618511, 526729548726879913203152, 1378995972780971174400863, 3610258549760018704819275, 9451780036787055129696640, 24745082281177087063550003, 64783468247896086819512087, 169605325344814934912103696, 444032513551156240951033879, 1162492226837868834009467699, 3043444190020880353214308736, 7967840389341632409907337547, 20860077070237737245055461983, 54612391005839020062354564560, 142977096316214204416199264015, 374318898680673356134625292123, 979979601201545389884440741632, 2565619907875441865312225191331, 6716880128327738309639291349479, 17585020488913689270779761891344, 46038181362025161917048220393031, 120529523644385461309061351424707, 315550389665578551667528738155008, 826121645541244853008310671588155, 2162814547335945325986974893705135, 5662321997222169762211757243718608, 14824151445841721235166583305833407, 38810132343325308492324565610547051, 101606245590178833339880259399338624, 266008604439300449723462504334530579, 696419567751901032222799837098376631, 1823250098864759679729522173948846352, 4773330728939092072534937018724656503, 12496742088145944669013629550178111315, 32716895535885598196782632967715653760, 85653944520284562445887632024780802603, 224244938026515514189986988450250659327, 587080869562356830222286784013218985936, 1536997670666744676673300264963901919599, 4023912142450256600190467813627478015099, 10534738756708783924683810781416514610176, 27580304127725612775432379741618030784387, 72206173626567089604756158865429507680903, 189038216752173726445121757698654352134160, 494908476630350230543180435918501268473255
Generating function in Maple syntax:
(x^5-3*x^3+8*x^2-5*x+1)/(x-1)/(2*x-1)/(x^2-3*x+1)
Generating function in latex syntax:
\frac{x^{5}-3 x^{3}+8 x^{2}-5 x +1}{\left(x -1\right) \left(2 x -1\right) \left(x^{2}-3 x +1\right)}
Generating function in sympy syntax:
(x**5 - 3*x**3 + 8*x**2 - 5*x + 1)/((x - 1)*(2*x - 1)*(x**2 - 3*x + 1))
Implicit equation for the generating function in Maple syntax:
-(x-1)*(2*x-1)*(x^2-3*x+1)*F(x)+x^5-3*x^3+8*x^2-5*x+1 = 0
Implicit equation for the generating function in latex syntax:
-\left(x -1\right) \left(2 x -1\right) \left(x^{2}-3 x +1\right) F \! \left(x \right)+x^{5}-3 x^{3}+8 x^{2}-5 x +1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,1/20*(16*5^(1/2)-20)*(3/2-1/2*5^(1/2))^(-n)+1/20*(-16*5^(1/2)-20)*(3/2+1/2*5^(1/2))^(-n)-5/4*2^n+2)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ \frac{\left(16 \sqrt{5}-20\right) \left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n}}{20}+\frac{\left(-16 \sqrt{5}-20\right) \left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n}}{20}-\frac{5 \,2^{n}}{4}+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) = 19
a(5) = 59
a(n+3) = 2*a(n)-7*a(n+1)+5*a(n+2)+2, n >= 6
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) = 59
a \! \left(n +3\right) = 2 a \! \left(n \right)-7 a \! \left(n +1\right)+5 a \! \left(n +2\right)+2, \quad n \geq 6
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/19031/
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[22,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[14,x]
F[17,x] = F[18,x]+F[19,x]+F[21,x]
F[18,x] = 0
F[19,x] = F[12,x]*F[20,x]
F[20,x] = F[10,x]+F[17,x]
F[21,x] = F[12,x]*F[13,x]
F[22,x] = F[23,x]+F[30,x]
F[23,x] = F[24,x]
F[24,x] = F[12,x]*F[25,x]
F[25,x] = F[26,x]+F[27,x]
F[26,x] = F[1,x]+F[12,x]
F[27,x] = F[23,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[12,x]*F[23,x]
F[30,x] = F[18,x]+F[31,x]+F[72,x]
F[31,x] = F[12,x]*F[32,x]
F[32,x] = F[33,x]+F[49,x]
F[33,x] = F[34,x]+F[6,x]
F[34,x] = F[18,x]+F[35,x]+F[36,x]
F[35,x] = F[10,x]*F[12,x]
F[36,x] = F[12,x]*F[37,x]
F[37,x] = F[38,x]+F[41,x]
F[38,x] = F[12,x]+F[39,x]
F[39,x] = F[18,x]+F[35,x]+F[40,x]
F[40,x] = F[12,x]*F[38,x]
F[41,x] = F[42,x]+F[45,x]
F[42,x] = F[43,x]
F[43,x] = F[12,x]*F[44,x]
F[44,x] = F[12,x]+F[42,x]
F[45,x] = 2*F[18,x]+F[46,x]+F[48,x]
F[46,x] = F[12,x]*F[47,x]
F[47,x] = F[39,x]+F[45,x]
F[48,x] = F[12,x]*F[41,x]
F[49,x] = F[30,x]+F[50,x]
F[50,x] = 2*F[18,x]+F[51,x]+F[62,x]
F[51,x] = F[12,x]*F[52,x]
F[52,x] = F[18,x]+F[53,x]+F[60,x]
F[53,x] = F[12,x]*F[54,x]
F[54,x] = F[55,x]+F[56,x]
F[55,x] = F[10,x]+F[39,x]
F[56,x] = F[52,x]+F[57,x]
F[57,x] = 2*F[18,x]+F[51,x]+F[58,x]
F[58,x] = F[12,x]*F[59,x]
F[59,x] = F[28,x]+F[57,x]
F[60,x] = F[12,x]*F[61,x]
F[61,x] = F[23,x]+F[52,x]
F[62,x] = F[12,x]*F[63,x]
F[63,x] = F[59,x]+F[64,x]
F[64,x] = F[65,x]+F[68,x]
F[65,x] = F[66,x]
F[66,x] = F[12,x]*F[67,x]
F[67,x] = F[28,x]+F[65,x]
F[68,x] = 3*F[18,x]+F[69,x]+F[71,x]
F[69,x] = F[12,x]*F[70,x]
F[70,x] = F[57,x]+F[68,x]
F[71,x] = F[12,x]*F[64,x]
F[72,x] = F[12,x]*F[73,x]
F[73,x] = F[61,x]+F[74,x]
F[74,x] = F[75,x]+F[82,x]
F[75,x] = F[18,x]+F[76,x]+F[80,x]
F[76,x] = F[12,x]*F[77,x]
F[77,x] = F[78,x]+F[79,x]
F[78,x] = F[12,x]
F[79,x] = F[28,x]
F[80,x] = F[12,x]*F[81,x]
F[81,x] = F[23,x]+F[75,x]
F[82,x] = F[18,x]+F[83,x]+F[87,x]+F[89,x]
F[83,x] = F[12,x]*F[84,x]
F[84,x] = F[85,x]+F[86,x]
F[85,x] = F[39,x]
F[86,x] = F[57,x]
F[87,x] = F[12,x]*F[88,x]
F[88,x] = F[52,x]+F[82,x]
F[89,x] = F[12,x]*F[74,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_{22}\! \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_{14}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{19}\! \left(x \right)+F_{21}\! \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_{17}\! \left(x \right)
F_{21}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{30}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{12}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{27}\! \left(x \right)
F_{26}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{27}\! \left(x \right) = F_{23}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{12}\! \left(x \right) F_{23}\! \left(x \right)
F_{30}\! \left(x \right) = F_{18}\! \left(x \right)+F_{31}\! \left(x \right)+F_{72}\! \left(x \right)
F_{31}\! \left(x \right) = F_{12}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{49}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{6}\! \left(x \right)
F_{34}\! \left(x \right) = F_{18}\! \left(x \right)+F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \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_{41}\! \left(x \right)
F_{38}\! \left(x \right) = F_{12}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{18}\! \left(x \right)+F_{35}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{45}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{12}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{12}\! \left(x \right)+F_{42}\! \left(x \right)
F_{45}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{46}\! \left(x \right)+F_{48}\! \left(x \right)
F_{46}\! \left(x \right) = F_{12}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{39}\! \left(x \right)+F_{45}\! \left(x \right)
F_{48}\! \left(x \right) = F_{12}\! \left(x \right) F_{41}\! \left(x \right)
F_{49}\! \left(x \right) = F_{30}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{51}\! \left(x \right)+F_{62}\! \left(x \right)
F_{51}\! \left(x \right) = F_{12}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{18}\! \left(x \right)+F_{53}\! \left(x \right)+F_{60}\! \left(x \right)
F_{53}\! \left(x \right) = F_{12}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{56}\! \left(x \right)
F_{55}\! \left(x \right) = F_{10}\! \left(x \right)+F_{39}\! \left(x \right)
F_{56}\! \left(x \right) = F_{52}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{51}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{12}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{28}\! \left(x \right)+F_{57}\! \left(x \right)
F_{60}\! \left(x \right) = F_{12}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{23}\! \left(x \right)+F_{52}\! \left(x \right)
F_{62}\! \left(x \right) = F_{12}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{59}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{68}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{12}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{28}\! \left(x \right)+F_{65}\! \left(x \right)
F_{68}\! \left(x \right) = 3 F_{18}\! \left(x \right)+F_{69}\! \left(x \right)+F_{71}\! \left(x \right)
F_{69}\! \left(x \right) = F_{12}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{57}\! \left(x \right)+F_{68}\! \left(x \right)
F_{71}\! \left(x \right) = F_{12}\! \left(x \right) F_{64}\! \left(x \right)
F_{72}\! \left(x \right) = F_{12}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{61}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{82}\! \left(x \right)
F_{75}\! \left(x \right) = F_{18}\! \left(x \right)+F_{76}\! \left(x \right)+F_{80}\! \left(x \right)
F_{76}\! \left(x \right) = F_{12}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{79}\! \left(x \right)
F_{78}\! \left(x \right) = F_{12}\! \left(x \right)
F_{79}\! \left(x \right) = F_{28}\! \left(x \right)
F_{80}\! \left(x \right) = F_{12}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{23}\! \left(x \right)+F_{75}\! \left(x \right)
F_{82}\! \left(x \right) = F_{18}\! \left(x \right)+F_{83}\! \left(x \right)+F_{87}\! \left(x \right)+F_{89}\! \left(x \right)
F_{83}\! \left(x \right) = F_{12}\! \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_{39}\! \left(x \right)
F_{86}\! \left(x \right) = F_{57}\! \left(x \right)
F_{87}\! \left(x \right) = F_{12}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{52}\! \left(x \right)+F_{82}\! \left(x \right)
F_{89}\! \left(x \right) = F_{12}\! \left(x \right) F_{74}\! \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_22(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_14(x))
Eq(F_17(x), F_18(x) + F_19(x) + F_21(x))
Eq(F_18(x), 0)
Eq(F_19(x), F_12(x)*F_20(x))
Eq(F_20(x), F_10(x) + F_17(x))
Eq(F_21(x), F_12(x)*F_13(x))
Eq(F_22(x), F_23(x) + F_30(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_12(x)*F_25(x))
Eq(F_25(x), F_26(x) + F_27(x))
Eq(F_26(x), F_1(x) + F_12(x))
Eq(F_27(x), F_23(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_12(x)*F_23(x))
Eq(F_30(x), F_18(x) + F_31(x) + F_72(x))
Eq(F_31(x), F_12(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_49(x))
Eq(F_33(x), F_34(x) + F_6(x))
Eq(F_34(x), F_18(x) + F_35(x) + F_36(x))
Eq(F_35(x), F_10(x)*F_12(x))
Eq(F_36(x), F_12(x)*F_37(x))
Eq(F_37(x), F_38(x) + F_41(x))
Eq(F_38(x), F_12(x) + F_39(x))
Eq(F_39(x), F_18(x) + F_35(x) + F_40(x))
Eq(F_40(x), F_12(x)*F_38(x))
Eq(F_41(x), F_42(x) + F_45(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_12(x)*F_44(x))
Eq(F_44(x), F_12(x) + F_42(x))
Eq(F_45(x), 2*F_18(x) + F_46(x) + F_48(x))
Eq(F_46(x), F_12(x)*F_47(x))
Eq(F_47(x), F_39(x) + F_45(x))
Eq(F_48(x), F_12(x)*F_41(x))
Eq(F_49(x), F_30(x) + F_50(x))
Eq(F_50(x), 2*F_18(x) + F_51(x) + F_62(x))
Eq(F_51(x), F_12(x)*F_52(x))
Eq(F_52(x), F_18(x) + F_53(x) + F_60(x))
Eq(F_53(x), F_12(x)*F_54(x))
Eq(F_54(x), F_55(x) + F_56(x))
Eq(F_55(x), F_10(x) + F_39(x))
Eq(F_56(x), F_52(x) + F_57(x))
Eq(F_57(x), 2*F_18(x) + F_51(x) + F_58(x))
Eq(F_58(x), F_12(x)*F_59(x))
Eq(F_59(x), F_28(x) + F_57(x))
Eq(F_60(x), F_12(x)*F_61(x))
Eq(F_61(x), F_23(x) + F_52(x))
Eq(F_62(x), F_12(x)*F_63(x))
Eq(F_63(x), F_59(x) + F_64(x))
Eq(F_64(x), F_65(x) + F_68(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_12(x)*F_67(x))
Eq(F_67(x), F_28(x) + F_65(x))
Eq(F_68(x), 3*F_18(x) + F_69(x) + F_71(x))
Eq(F_69(x), F_12(x)*F_70(x))
Eq(F_70(x), F_57(x) + F_68(x))
Eq(F_71(x), F_12(x)*F_64(x))
Eq(F_72(x), F_12(x)*F_73(x))
Eq(F_73(x), F_61(x) + F_74(x))
Eq(F_74(x), F_75(x) + F_82(x))
Eq(F_75(x), F_18(x) + F_76(x) + F_80(x))
Eq(F_76(x), F_12(x)*F_77(x))
Eq(F_77(x), F_78(x) + F_79(x))
Eq(F_78(x), F_12(x))
Eq(F_79(x), F_28(x))
Eq(F_80(x), F_12(x)*F_81(x))
Eq(F_81(x), F_23(x) + F_75(x))
Eq(F_82(x), F_18(x) + F_83(x) + F_87(x) + F_89(x))
Eq(F_83(x), F_12(x)*F_84(x))
Eq(F_84(x), F_85(x) + F_86(x))
Eq(F_85(x), F_39(x))
Eq(F_86(x), F_57(x))
Eq(F_87(x), F_12(x)*F_88(x))
Eq(F_88(x), F_52(x) + F_82(x))
Eq(F_89(x), F_12(x)*F_74(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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