0123_0132_1032_1302_2130
Counting sequence:
1, 1, 2, 6, 19, 53, 136, 341, 845, 2080, 5098, 12457, 30369, 73904, 179590, 435905, 1057037, 2561248, 6202066, 15010441, 36313065, 87816800, 212307118, 513151937, 1240052789, 2996141104, 7238102170, 17483879785, 42228930417, 101987877968, 246296961046, 594766349441, 1436198758685, 3467902064320, 8373479282338, 20217813419017, 48815011700409, 117859647979904, 284557929980350, 687022752580865, 1658697924422597, 4004607579987088, 9668291041518826, 23341945577268841, 56353694024544705, 136052357283334640, 328464455905166758, 792993363721573697, 1914475372604125229, 4621992487441446304, 11158557104510262130, 26939300210508459145, 65037544553620157577, 157015163373934728608, 379069419413861523406, 915157098426401592641, 2209389808716152343125, 5333949100757681547760, 12877312780029465976378, 31088624200412514575977, 75054660260046297279249, 181198142878888713436304, 437451342334590932755510, 1056101620181604996154625, 2549656167964869759479357, 6155417126645482183942528, 14860496762324109465022786, 35876423333430251789304841, 86613368793457714394265945, 209103211648891883279103680, 504819893548333886355007198, 1218743201659744466794185857, 2942306702696192441553514469, 7103357418708868593121485904, 17149023163427408114237028490, 41401406992190641794476627305, 99951843641062605648952451937, 241305107260823680983905868848, 582562084135725623399812864966, 1406429327478306239349628949441, 3395420842984400725231265465165, 8197271221231232936076549282400, 19789963701015117089913142835218, 47777199454397968100960392563337, 115344364272084055261949043182889, 278465931323112082565088709371104, 672276233567400228272586922809070, 1623018411756096554871183476757185, 3918313083675961369536795719859317, 9459644632300755356988458603547568, 22837602454662944209601080301097946, 55134849754397588028365353954030441, 133107302389000008770681257705732785, 321349455383481382578426808358643920, 775806214858130327944932752409316438, 1872961888504077146503088069149868417, 4521729998674954837020700402654236509, 10916421899471327252683671898348707904, 26354573824852290206666410247132385250, 63625569603645269394573224488174944265, 153605713141081552452926323414605205497
Generating function in Maple syntax:
-(x^8+x^7-6*x^6-4*x^5+2*x^3+4*x^2-4*x+1)/(x-1)/(2*x-1)/(x^2+2*x-1)
Generating function in latex syntax:
-\frac{x^{8}+x^{7}-6 x^{6}-4 x^{5}+2 x^{3}+4 x^{2}-4 x +1}{\left(x -1\right) \left(2 x -1\right) \left(x^{2}+2 x -1\right)}
Generating function in sympy syntax:
(-x**8 - x**7 + 6*x**6 + 4*x**5 - 2*x**3 - 4*x**2 + 4*x - 1)/((x - 1)*(2*x - 1)*(x**2 + 2*x - 1))
Implicit equation for the generating function in Maple syntax:
(x-1)*(2*x-1)*(x^2+2*x-1)*F(x)+x^8+x^7-6*x^6-4*x^5+2*x^3+4*x^2-4*x+1 = 0
Implicit equation for the generating function in latex syntax:
\left(x -1\right) \left(2 x -1\right) \left(x^{2}+2 x -1\right) F \! \left(x \right)+x^{8}+x^{7}-6 x^{6}-4 x^{5}+2 x^{3}+4 x^{2}-4 x +1 = 0
Explicit closed form in Maple syntax:
1/2*piecewise(n = 0,139/16,n = 1,27/8,n = 2,11/4,n = 3,-1/2,n = 4,-1,0)-5/2+3/4*(2^(1/2)-1)^(-n)*2^(1/2)-3/4*(-1-2^(1/2))^(-n)*2^(1/2)-11/32*2^n-1/4*(2^(1/2)-1)^(-n)-1/4*(-1-2^(1/2))^(-n)
Explicit closed form in latex syntax:
\frac{\left(\left\{\begin{array}{cc}\frac{139}{16} & n =0 \\ \frac{27}{8} & n =1 \\ \frac{11}{4} & n =2 \\ -\frac{1}{2} & n =3 \\ -1 & n =4 \\ 0 & \mathit{\text{otherwise}} \end{array}\right.\right)}{2}-\frac{5}{2}+\frac{3 \left(\sqrt{2}-1\right)^{-n} \sqrt{2}}{4}-\frac{3 \left(-1-\sqrt{2}\right)^{-n} \sqrt{2}}{4}-\frac{11 \,2^{n}}{32}-\frac{\left(\sqrt{2}-1\right)^{-n}}{4}-\frac{\left(-1-\sqrt{2}\right)^{-n}}{4}
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 19
a(5) = 53
a(6) = 136
a(7) = 341
a(8) = 845
a(n+3) = -2*a(n)-3*a(n+1)+4*a(n+2)-5, 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) = 53
a \! \left(6\right) = 136
a \! \left(7\right) = 341
a \! \left(8\right) = 845
a \! \left(n +3\right) = -2 a \! \left(n \right)-3 a \! \left(n +1\right)+4 a \! \left(n +2\right)-5, \quad n \geq 9
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/16364/
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[20,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[7,x]
F[12,x] = F[13,x]+F[14,x]+F[19,x]
F[13,x] = 0
F[14,x] = F[15,x]*F[4,x]
F[15,x] = F[16,x]+F[17,x]
F[16,x] = F[4,x]
F[17,x] = F[18,x]
F[18,x] = F[14,x]
F[19,x] = F[4,x]*F[7,x]
F[20,x] = F[2,x]+F[21,x]
F[21,x] = F[13,x]+F[22,x]+F[74,x]
F[22,x] = F[23,x]*F[4,x]
F[23,x] = F[24,x]+F[29,x]
F[24,x] = F[25,x]+F[27,x]
F[25,x] = F[26,x]
F[26,x] = F[10,x]*F[4,x]
F[27,x] = F[13,x]+F[14,x]+F[28,x]
F[28,x] = F[11,x]*F[4,x]
F[29,x] = F[30,x]+F[73,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[33,x]+F[35,x]
F[33,x] = F[25,x]+F[34,x]
F[34,x] = F[14,x]
F[35,x] = F[30,x]+F[36,x]
F[36,x] = 2*F[13,x]+F[37,x]+F[49,x]
F[37,x] = F[38,x]*F[4,x]
F[38,x] = F[39,x]+F[44,x]
F[39,x] = F[40,x]+F[42,x]
F[40,x] = F[41,x]
F[41,x] = F[16,x]*F[4,x]
F[42,x] = F[43,x]
F[43,x] = F[17,x]*F[4,x]
F[44,x] = F[45,x]
F[45,x] = F[4,x]*F[46,x]
F[46,x] = F[47,x]+F[48,x]
F[47,x] = F[40,x]
F[48,x] = F[45,x]
F[49,x] = F[4,x]*F[50,x]
F[50,x] = F[51,x]+F[68,x]
F[51,x] = F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[4,x]*F[54,x]
F[54,x] = F[55,x]+F[56,x]
F[55,x] = F[18,x]+F[4,x]
F[56,x] = F[52,x]+F[57,x]
F[57,x] = 2*F[13,x]+F[49,x]+F[58,x]
F[58,x] = F[4,x]*F[59,x]
F[59,x] = F[60,x]+F[63,x]
F[60,x] = F[61,x]+F[62,x]
F[61,x] = F[41,x]
F[62,x] = F[43,x]
F[63,x] = F[64,x]
F[64,x] = F[4,x]*F[65,x]
F[65,x] = F[66,x]+F[67,x]
F[66,x] = F[61,x]
F[67,x] = F[64,x]
F[68,x] = F[69,x]
F[69,x] = F[4,x]*F[70,x]
F[70,x] = F[71,x]+F[72,x]
F[71,x] = F[52,x]
F[72,x] = F[69,x]
F[73,x] = 2*F[13,x]+F[37,x]+F[49,x]
F[74,x] = F[4,x]*F[75,x]
F[75,x] = F[76,x]+F[84,x]
F[76,x] = F[2,x]+F[77,x]
F[77,x] = F[13,x]+F[78,x]+F[83,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[80,x]+F[81,x]
F[80,x] = F[12,x]+F[4,x]
F[81,x] = F[52,x]+F[82,x]
F[82,x] = 2*F[13,x]+F[49,x]+F[58,x]
F[83,x] = F[2,x]*F[4,x]
F[84,x] = F[85,x]+F[93,x]
F[85,x] = F[86,x]
F[86,x] = F[4,x]*F[87,x]
F[87,x] = F[88,x]+F[90,x]
F[88,x] = F[2,x]+F[89,x]
F[89,x] = F[83,x]
F[90,x] = F[85,x]+F[91,x]
F[91,x] = F[92,x]
F[92,x] = F[4,x]*F[85,x]
F[93,x] = 2*F[13,x]+F[69,x]+F[92,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_{20}\! \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_{7}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{14}\! \left(x \right)+F_{19}\! \left(x \right)
F_{13}\! \left(x \right) = 0
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{17}\! \left(x \right)
F_{16}\! \left(x \right) = F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{14}\! \left(x \right)
F_{19}\! \left(x \right) = F_{4}\! \left(x \right) F_{7}\! \left(x \right)
F_{20}\! \left(x \right) = F_{2}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{13}\! \left(x \right)+F_{22}\! \left(x \right)+F_{74}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{29}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{27}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{13}\! \left(x \right)+F_{14}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{11}\! \left(x \right) F_{4}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{73}\! \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_{35}\! \left(x \right)
F_{33}\! \left(x \right) = F_{25}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{14}\! \left(x \right)
F_{35}\! \left(x \right) = F_{30}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{37}\! \left(x \right)+F_{49}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{44}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{42}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{17}\! \left(x \right) F_{4}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{48}\! \left(x \right)
F_{47}\! \left(x \right) = F_{40}\! \left(x \right)
F_{48}\! \left(x \right) = F_{45}\! \left(x \right)
F_{49}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{68}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{4}\! \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_{18}\! \left(x \right)+F_{4}\! \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_{13}\! \left(x \right)+F_{49}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{4}\! \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_{62}\! \left(x \right)
F_{61}\! \left(x \right) = F_{41}\! \left(x \right)
F_{62}\! \left(x \right) = F_{43}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{67}\! \left(x \right)
F_{66}\! \left(x \right) = F_{61}\! \left(x \right)
F_{67}\! \left(x \right) = F_{64}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \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_{52}\! \left(x \right)
F_{72}\! \left(x \right) = F_{69}\! \left(x \right)
F_{73}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{37}\! \left(x \right)+F_{49}\! \left(x \right)
F_{74}\! \left(x \right) = F_{4}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{84}\! \left(x \right)
F_{76}\! \left(x \right) = F_{2}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{13}\! \left(x \right)+F_{78}\! \left(x \right)+F_{83}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{81}\! \left(x \right)
F_{80}\! \left(x \right) = F_{12}\! \left(x \right)+F_{4}\! \left(x \right)
F_{81}\! \left(x \right) = F_{52}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{49}\! \left(x \right)+F_{58}\! \left(x \right)
F_{83}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{93}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{4}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)+F_{90}\! \left(x \right)
F_{88}\! \left(x \right) = F_{2}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{83}\! \left(x \right)
F_{90}\! \left(x \right) = F_{85}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)
F_{93}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{69}\! \left(x \right)+F_{92}\! \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_20(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_7(x))
Eq(F_12(x), F_13(x) + F_14(x) + F_19(x))
Eq(F_13(x), 0)
Eq(F_14(x), F_15(x)*F_4(x))
Eq(F_15(x), F_16(x) + F_17(x))
Eq(F_16(x), F_4(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_14(x))
Eq(F_19(x), F_4(x)*F_7(x))
Eq(F_20(x), F_2(x) + F_21(x))
Eq(F_21(x), F_13(x) + F_22(x) + F_74(x))
Eq(F_22(x), F_23(x)*F_4(x))
Eq(F_23(x), F_24(x) + F_29(x))
Eq(F_24(x), F_25(x) + F_27(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_10(x)*F_4(x))
Eq(F_27(x), F_13(x) + F_14(x) + F_28(x))
Eq(F_28(x), F_11(x)*F_4(x))
Eq(F_29(x), F_30(x) + F_73(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_35(x))
Eq(F_33(x), F_25(x) + F_34(x))
Eq(F_34(x), F_14(x))
Eq(F_35(x), F_30(x) + F_36(x))
Eq(F_36(x), 2*F_13(x) + F_37(x) + F_49(x))
Eq(F_37(x), F_38(x)*F_4(x))
Eq(F_38(x), F_39(x) + F_44(x))
Eq(F_39(x), F_40(x) + F_42(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_16(x)*F_4(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_17(x)*F_4(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_4(x)*F_46(x))
Eq(F_46(x), F_47(x) + F_48(x))
Eq(F_47(x), F_40(x))
Eq(F_48(x), F_45(x))
Eq(F_49(x), F_4(x)*F_50(x))
Eq(F_50(x), F_51(x) + F_68(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_4(x)*F_54(x))
Eq(F_54(x), F_55(x) + F_56(x))
Eq(F_55(x), F_18(x) + F_4(x))
Eq(F_56(x), F_52(x) + F_57(x))
Eq(F_57(x), 2*F_13(x) + F_49(x) + F_58(x))
Eq(F_58(x), F_4(x)*F_59(x))
Eq(F_59(x), F_60(x) + F_63(x))
Eq(F_60(x), F_61(x) + F_62(x))
Eq(F_61(x), F_41(x))
Eq(F_62(x), F_43(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_4(x)*F_65(x))
Eq(F_65(x), F_66(x) + F_67(x))
Eq(F_66(x), F_61(x))
Eq(F_67(x), F_64(x))
Eq(F_68(x), F_69(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_52(x))
Eq(F_72(x), F_69(x))
Eq(F_73(x), 2*F_13(x) + F_37(x) + F_49(x))
Eq(F_74(x), F_4(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_84(x))
Eq(F_76(x), F_2(x) + F_77(x))
Eq(F_77(x), F_13(x) + F_78(x) + F_83(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_80(x) + F_81(x))
Eq(F_80(x), F_12(x) + F_4(x))
Eq(F_81(x), F_52(x) + F_82(x))
Eq(F_82(x), 2*F_13(x) + F_49(x) + F_58(x))
Eq(F_83(x), F_2(x)*F_4(x))
Eq(F_84(x), F_85(x) + F_93(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_4(x)*F_87(x))
Eq(F_87(x), F_88(x) + F_90(x))
Eq(F_88(x), F_2(x) + F_89(x))
Eq(F_89(x), F_83(x))
Eq(F_90(x), F_85(x) + F_91(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_4(x)*F_85(x))
Eq(F_93(x), 2*F_13(x) + F_69(x) + F_92(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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