0132_0213_1230_1320_3120
Counting sequence:
1, 1, 2, 6, 19, 54, 134, 301, 635, 1294, 2598, 5205, 10479, 21258, 43454, 89381, 184667, 382590, 793774, 1647629, 3419327, 7091946, 14697142, 30429261, 62939099, 130052494, 268469654, 553688101, 1140897135, 2348863914, 4831899918, 9932182485, 20401175099, 41876022398, 85899449054, 176093775261, 360777383167, 738734520650, 1511828650694, 3092376633789, 6322192060027, 12919261847886, 26388279310982, 53876070029941, 109951163072879, 224300372389834, 457396837508574, 932385860740101, 1899956093217435, 3870280930228734, 7881299348394638, 16044073673045165, 32651097299017919, 66428094504343338, 135107988821792854, 274719577270330541, 558446353794727067, 1134907106098208910, 2305843009214599414, 4683743612466286149, 9511602413007526127, 19311435202165797226, 39199331156633983022, 79551583817873706421, 161409010644959924859, 327429707308345976574, 664082786653545384894, 1346612317380798890301, 2730118122909015361535, 5534023222112867311754, 11215620396815409318758, 22726388698810169641245, 46043073207979043002939, 93266738036675495264078, 188894659314785810970854, 382511685112441264867221, 774468103190621817744367, 1567825672312722213791370, 3173430276488401586599934, 6422418416702717493780709, 12995952560857263631409627, 26294136576618184553347966, 53192736063043683690737262, 107594397945701996552698701, 217606647530633251451151039, 440048998339725019597284714, 889769403236367072588186614, 1798881619586568211967442701, 3636448865400804557521049435, 7350268983256945382218648974, 14855280471424563298794824278, 30020045952670471666309338725, 60659061924983633470062914159, 122556063889252647215019384618, 247588007857076054979831199054, 500127775871293631059252817301, 1010159072056870304317692283067, 2040125184742306693033763932030, 4119864450741745554864292932254, 8318957063997755447322122613469, 16796370453024039569831325622527
Generating function in Maple syntax:
(5*x^8-9*x^7-7*x^6+29*x^5-48*x^4+48*x^3-27*x^2+8*x-1)/(2*x-1)^2/(x-1)^5
Generating function in latex syntax:
\frac{5 x^{8}-9 x^{7}-7 x^{6}+29 x^{5}-48 x^{4}+48 x^{3}-27 x^{2}+8 x -1}{\left(2 x -1\right)^{2} \left(x -1\right)^{5}}
Generating function in sympy syntax:
(5*x**8 - 9*x**7 - 7*x**6 + 29*x**5 - 48*x**4 + 48*x**3 - 27*x**2 + 8*x - 1)/((x - 1)**5*(2*x - 1)**2)
Implicit equation for the generating function in Maple syntax:
-(2*x-1)^2*(x-1)^5*F(x)+5*x^8-9*x^7-7*x^6+29*x^5-48*x^4+48*x^3-27*x^2+8*x-1 = 0
Implicit equation for the generating function in latex syntax:
-\left(2 x -1\right)^{2} \left(x -1\right)^{5} F \! \left(x \right)+5 x^{8}-9 x^{7}-7 x^{6}+29 x^{5}-48 x^{4}+48 x^{3}-27 x^{2}+8 x -1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,-5-1/6*n^3-19/12*n^2+14/3*n+1/12*n^4+1/8*2^n*n+3/4*2^n)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ -5-\frac{n^{3}}{6}-\frac{19 n^{2}}{12}+\frac{14 n}{3}+\frac{n^{4}}{12}+\frac{2^{n} n}{8}+\frac{3 \,2^{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) = 54
a(6) = 134
a(7) = 301
a(8) = 635
a(n+2) = 1/12*n^4-5/6*n^3-7/12*n^2-4*a(n)+4*a(n+1)+37/3*n-14, 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) = 54
a \! \left(6\right) = 134
a \! \left(7\right) = 301
a \! \left(8\right) = 635
a \! \left(n +2\right) = \frac{n^{4}}{12}-\frac{5 n^{3}}{6}-\frac{7 n^{2}}{12}-4 a \! \left(n \right)+4 a \! \left(n +1\right)+\frac{37 n}{3}-14, \quad n \geq 9
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/18468/
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[21,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[19,x]
F[14,x] = F[15,x]
F[15,x] = F[12,x]*F[16,x]
F[16,x] = F[17,x]+F[18,x]
F[17,x] = F[1,x]+F[12,x]
F[18,x] = F[14,x]
F[19,x] = F[20,x]
F[20,x] = F[12,x]*F[13,x]
F[21,x] = F[22,x]+F[31,x]
F[22,x] = F[23,x]
F[23,x] = F[12,x]*F[24,x]
F[24,x] = F[17,x]+F[25,x]
F[25,x] = F[22,x]+F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[12,x]*F[28,x]
F[28,x] = F[29,x]+F[30,x]
F[29,x] = F[12,x]
F[30,x] = F[26,x]
F[31,x] = F[32,x]+F[33,x]+F[75,x]
F[32,x] = 0
F[33,x] = F[12,x]*F[34,x]
F[34,x] = F[35,x]+F[52,x]
F[35,x] = F[36,x]+F[6,x]
F[36,x] = F[32,x]+F[37,x]+F[38,x]
F[37,x] = F[10,x]*F[12,x]
F[38,x] = F[12,x]*F[39,x]
F[39,x] = F[40,x]+F[43,x]
F[40,x] = F[12,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[12,x]*F[40,x]
F[43,x] = F[44,x]+F[50,x]
F[44,x] = F[32,x]+F[45,x]+F[46,x]
F[45,x] = x^2
F[46,x] = F[12,x]*F[47,x]
F[47,x] = F[48,x]+F[49,x]
F[48,x] = F[12,x]
F[49,x] = F[44,x]
F[50,x] = F[51,x]
F[51,x] = F[12,x]*F[43,x]
F[52,x] = F[31,x]+F[53,x]
F[53,x] = 2*F[32,x]+F[54,x]+F[58,x]
F[54,x] = F[12,x]*F[55,x]
F[55,x] = F[56,x]+F[57,x]
F[56,x] = F[36,x]
F[57,x] = F[53,x]
F[58,x] = F[12,x]*F[59,x]
F[59,x] = F[60,x]+F[67,x]
F[60,x] = F[26,x]+F[61,x]
F[61,x] = 2*F[32,x]+F[62,x]+F[66,x]
F[62,x] = F[12,x]*F[63,x]
F[63,x] = F[64,x]+F[65,x]
F[64,x] = F[41,x]
F[65,x] = F[61,x]
F[66,x] = F[12,x]*F[60,x]
F[67,x] = F[68,x]+F[73,x]
F[68,x] = F[69,x]
F[69,x] = F[12,x]*F[70,x]
F[70,x] = F[71,x]+F[72,x]
F[71,x] = F[26,x]
F[72,x] = F[68,x]
F[73,x] = F[74,x]
F[74,x] = F[12,x]*F[67,x]
F[75,x] = F[12,x]*F[76,x]
F[76,x] = F[77,x]+F[90,x]
F[77,x] = F[22,x]+F[78,x]
F[78,x] = F[32,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[32,x]+F[37,x]+F[42,x]
F[83,x] = F[78,x]+F[84,x]
F[84,x] = 2*F[32,x]+F[66,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[95,x]
F[91,x] = F[27,x]+F[32,x]+F[92,x]
F[92,x] = F[12,x]*F[93,x]
F[93,x] = F[25,x]+F[94,x]
F[94,x] = F[91,x]
F[95,x] = 2*F[32,x]+F[62,x]+F[96,x]
F[96,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_{21}\! \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_{19}\! \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_{18}\! \left(x \right)
F_{17}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{18}\! \left(x \right) = F_{14}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{31}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{12}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{17}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{22}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{12}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{30}\! \left(x \right)
F_{29}\! \left(x \right) = F_{12}\! \left(x \right)
F_{30}\! \left(x \right) = F_{26}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)+F_{75}\! \left(x \right)
F_{32}\! \left(x \right) = 0
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_{52}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{6}\! \left(x \right)
F_{36}\! \left(x \right) = F_{32}\! \left(x \right)+F_{37}\! \left(x \right)+F_{38}\! \left(x \right)
F_{37}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \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_{43}\! \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_{42}\! \left(x \right) = F_{12}\! \left(x \right) F_{40}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{50}\! \left(x \right)
F_{44}\! \left(x \right) = F_{32}\! \left(x \right)+F_{45}\! \left(x \right)+F_{46}\! \left(x \right)
F_{45}\! \left(x \right) = x^{2}
F_{46}\! \left(x \right) = F_{12}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{49}\! \left(x \right)
F_{48}\! \left(x \right) = F_{12}\! \left(x \right)
F_{49}\! \left(x \right) = F_{44}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{12}\! \left(x \right) F_{43}\! \left(x \right)
F_{52}\! \left(x \right) = F_{31}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = 2 F_{32}\! \left(x \right)+F_{54}\! \left(x \right)+F_{58}\! \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_{36}\! \left(x \right)
F_{57}\! \left(x \right) = F_{53}\! \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_{67}\! \left(x \right)
F_{60}\! \left(x \right) = F_{26}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = 2 F_{32}\! \left(x \right)+F_{62}\! \left(x \right)+F_{66}\! \left(x \right)
F_{62}\! \left(x \right) = F_{12}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = F_{41}\! \left(x \right)
F_{65}\! \left(x \right) = F_{61}\! \left(x \right)
F_{66}\! \left(x \right) = F_{12}\! \left(x \right) F_{60}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{73}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{12}\! \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_{26}\! \left(x \right)
F_{72}\! \left(x \right) = F_{68}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{12}\! \left(x \right) F_{67}\! \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_{22}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{32}\! \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_{32}\! \left(x \right)+F_{37}\! \left(x \right)+F_{42}\! \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_{32}\! \left(x \right)+F_{66}\! \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_{95}\! \left(x \right)
F_{91}\! \left(x \right) = F_{27}\! \left(x \right)+F_{32}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{12}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{25}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{91}\! \left(x \right)
F_{95}\! \left(x \right) = 2 F_{32}\! \left(x \right)+F_{62}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \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_21(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_19(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_18(x))
Eq(F_17(x), F_1(x) + F_12(x))
Eq(F_18(x), F_14(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_12(x)*F_13(x))
Eq(F_21(x), F_22(x) + F_31(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_12(x)*F_24(x))
Eq(F_24(x), F_17(x) + F_25(x))
Eq(F_25(x), F_22(x) + F_26(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_12(x)*F_28(x))
Eq(F_28(x), F_29(x) + F_30(x))
Eq(F_29(x), F_12(x))
Eq(F_30(x), F_26(x))
Eq(F_31(x), F_32(x) + F_33(x) + F_75(x))
Eq(F_32(x), 0)
Eq(F_33(x), F_12(x)*F_34(x))
Eq(F_34(x), F_35(x) + F_52(x))
Eq(F_35(x), F_36(x) + F_6(x))
Eq(F_36(x), F_32(x) + F_37(x) + F_38(x))
Eq(F_37(x), F_10(x)*F_12(x))
Eq(F_38(x), F_12(x)*F_39(x))
Eq(F_39(x), F_40(x) + F_43(x))
Eq(F_40(x), F_12(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_12(x)*F_40(x))
Eq(F_43(x), F_44(x) + F_50(x))
Eq(F_44(x), F_32(x) + F_45(x) + F_46(x))
Eq(F_45(x), x**2)
Eq(F_46(x), F_12(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_49(x))
Eq(F_48(x), F_12(x))
Eq(F_49(x), F_44(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_12(x)*F_43(x))
Eq(F_52(x), F_31(x) + F_53(x))
Eq(F_53(x), 2*F_32(x) + F_54(x) + F_58(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_36(x))
Eq(F_57(x), F_53(x))
Eq(F_58(x), F_12(x)*F_59(x))
Eq(F_59(x), F_60(x) + F_67(x))
Eq(F_60(x), F_26(x) + F_61(x))
Eq(F_61(x), 2*F_32(x) + F_62(x) + F_66(x))
Eq(F_62(x), F_12(x)*F_63(x))
Eq(F_63(x), F_64(x) + F_65(x))
Eq(F_64(x), F_41(x))
Eq(F_65(x), F_61(x))
Eq(F_66(x), F_12(x)*F_60(x))
Eq(F_67(x), F_68(x) + F_73(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_12(x)*F_70(x))
Eq(F_70(x), F_71(x) + F_72(x))
Eq(F_71(x), F_26(x))
Eq(F_72(x), F_68(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_12(x)*F_67(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_22(x) + F_78(x))
Eq(F_78(x), F_32(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_32(x) + F_37(x) + F_42(x))
Eq(F_83(x), F_78(x) + F_84(x))
Eq(F_84(x), 2*F_32(x) + F_66(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_95(x))
Eq(F_91(x), F_27(x) + F_32(x) + F_92(x))
Eq(F_92(x), F_12(x)*F_93(x))
Eq(F_93(x), F_25(x) + F_94(x))
Eq(F_94(x), F_91(x))
Eq(F_95(x), 2*F_32(x) + F_62(x) + F_96(x))
Eq(F_96(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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