01234_01243_02134_02143_02314_02341_02413_02431_20134_20143_20314_20341_20413_20431_23014_23041_23401_24013_24031_24301
Counting sequence:
1, 1, 2, 6, 24, 100, 400, 1526, 5600, 19944, 69408, 237226, 799216, 2661308, 8776976, 28714206, 93300672, 301392592, 968682304, 3099626066, 9879746768, 31382108196, 99375452592, 313814790406, 988511766304, 3106741678520, 9743852563040, 30502457048826, 95320102780080, 297398570349964, 926510631296848, 2882476923066926, 8956266393600896, 27795307127744928, 86165447371545216, 266834924374534306, 825520528493233552, 2551608868768461812, 7879968490531407344, 24315331192991764566, 74972270880606874848, 230995644821593275016, 711223431553853590432, 2188379787028293695306, 6729267840384103113584, 20680188963448021934940, 63517723226027296609680, 194984638702723768288126, 598248323217281312330560, 1834628191049542703567984, 5623534237482461898788288, 17229551705730362037328626, 52765502097602965088298576, 161527047235170432100676548, 494272764534847706623057456, 1511893162097055950459626406, 4622904091777713542404982432, 14130386091810792098802739032, 43176179724901359508190556384, 131883603523183085753956615066, 402716003615130394138100538928, 1229343589982422823419145409836, 3751617507358939854024271032272, 11445612734312986634877924352206, 34909118839649766966058320516864, 106444198429086333768467031319360, 324483121017679323288314158040320, 988900940244317382557755375919426, 3013057552306827279239852252257040, 9178236851642181019395609968474004, 27951903139091788177167579216943728, 85107287169771395036350164938222326, 259076594766802866919403135382492256, 788493984072875826780888045262256168, 2399274551536031519593941487953713696, 7299201452560311398902139390007190506, 22201737751537594161800328687750147312, 67517613436182781270148649095017024252, 205290040853258377943620799337512529424, 624081724193905311788250680084245377566, 1896879977484106620352644338296506339008, 5764544347159492218253064812678123312656, 17515346285599994330807499638714770178112, 53211178589164537229493234132814685961106, 161628954964587276817543547277713533576144, 490873122485042830675525454929465726631780, 1490578140228971502366667360994405955254960, 4525610739008443557463088185435310987142726, 13738461171989917862164149091330345916159520, 41700270380863515233188353334400543793868024, 126555471737271830794395283095102683880163168, 384030396995859347977161528382356277860948026, 1165183136339709611332381642080903649693781936, 3534825245075523537437776136329595672313283788, 10722303243395754725111102117820201736433913936, 32520392254694816518678387637096370467380426606, 98621624337607106595973927076479449375570328192, 299046215733389290927545114353575446445384117472, 906682675361871786241119423690269803088943726464, 2748680110570727099178038675473704138118749252066, 8331936585167516519056613564658325276099089875088
Generating function in Maple syntax:
(9*x^5-29*x^4+44*x^3-30*x^2+9*x-1)/(2*x-1)/(3*x-1)^2/(x-1)^2
Generating function in latex syntax:
\frac{9 x^{5}-29 x^{4}+44 x^{3}-30 x^{2}+9 x -1}{\left(2 x -1\right) \left(3 x -1\right)^{2} \left(x -1\right)^{2}}
Generating function in sympy syntax:
(9*x**5 - 29*x**4 + 44*x**3 - 30*x**2 + 9*x - 1)/((x - 1)**2*(2*x - 1)*(3*x - 1)**2)
Implicit equation for the generating function in Maple syntax:
(2*x-1)*(3*x-1)^2*(x-1)^2*F(x)-9*x^5+29*x^4-44*x^3+30*x^2-9*x+1 = 0
Implicit equation for the generating function in latex syntax:
\left(2 x -1\right) \left(3 x -1\right)^{2} \left(x -1\right)^{2} F \! \left(x \right)-9 x^{5}+29 x^{4}-44 x^{3}+30 x^{2}-9 x +1 = 0
Explicit closed form in Maple syntax:
piecewise(n = 0,1,2^(-1+n)+1/6*(n-3)*3^n+1/2*n+1/2)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0 \\ 2^{-1+n}+\frac{\left(n -3\right) 3^{n}}{6}+\frac{n}{2}+\frac{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) = 24
a(5) = 100
a(n+3) = 18*a(n)-21*a(n+1)+8*a(n+2)-2*n+2, n >= 6
Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 100
a{\left(n + 3 \right)} = - 2 \left(n - 1\right) + 18 a{\left(n \right)} - 21 a{\left(n + 1 \right)} + 8 a{\left(n + 2 \right)}, \quad n \geq 6
Specification 1
Strategy pack name: regular_insertion_encoding_left
Tree: http://permpal.com/tree/24671/
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[19,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[36,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[19,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[1,x]+F[6,x]
F[10,x] = F[11,x]+F[20,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[19,x]
F[13,x] = F[14,x]+F[15,x]
F[14,x] = F[1,x]+F[11,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]*F[19,x]
F[18,x] = F[1,x]+F[16,x]
F[19,x] = x
F[20,x] = F[21,x]+F[22,x]+F[34,x]
F[21,x] = 0
F[22,x] = F[19,x]*F[23,x]
F[23,x] = F[24,x]+F[28,x]
F[24,x] = F[16,x]+F[25,x]
F[25,x] = F[21,x]+F[22,x]+F[26,x]
F[26,x] = F[19,x]*F[27,x]
F[27,x] = F[11,x]+F[25,x]
F[28,x] = F[29,x]
F[29,x] = F[21,x]+F[30,x]+F[32,x]
F[30,x] = F[19,x]*F[31,x]
F[31,x] = F[16,x]+F[29,x]
F[32,x] = F[19,x]*F[33,x]
F[33,x] = F[16,x]+F[29,x]
F[34,x] = F[19,x]*F[35,x]
F[35,x] = F[10,x]
F[36,x] = F[21,x]+F[37,x]+F[82,x]
F[37,x] = F[19,x]*F[38,x]
F[38,x] = F[39,x]+F[77,x]
F[39,x] = F[40,x]+F[48,x]
F[40,x] = F[41,x]
F[41,x] = F[19,x]*F[42,x]
F[42,x] = F[43,x]+F[44,x]
F[43,x] = F[1,x]+F[40,x]
F[44,x] = F[16,x]+F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[19,x]*F[47,x]
F[47,x] = F[40,x]+F[45,x]
F[48,x] = F[21,x]+F[37,x]+F[49,x]
F[49,x] = F[19,x]*F[50,x]
F[50,x] = F[51,x]+F[69,x]
F[51,x] = F[11,x]+F[52,x]
F[52,x] = F[21,x]+F[49,x]+F[53,x]
F[53,x] = F[19,x]*F[54,x]
F[54,x] = F[55,x]+F[56,x]
F[55,x] = F[40,x]+F[52,x]
F[56,x] = F[57,x]
F[57,x] = F[21,x]+F[58,x]+F[60,x]
F[58,x] = F[19,x]*F[59,x]
F[59,x] = F[40,x]+F[57,x]
F[60,x] = F[19,x]*F[61,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[16,x]+F[57,x]
F[63,x] = F[29,x]+F[64,x]
F[64,x] = 2*F[21,x]+F[65,x]+F[67,x]
F[65,x] = F[19,x]*F[66,x]
F[66,x] = F[45,x]+F[64,x]
F[67,x] = F[19,x]*F[68,x]
F[68,x] = F[57,x]+F[64,x]
F[69,x] = F[25,x]+F[70,x]
F[70,x] = 2*F[21,x]+F[71,x]+F[75,x]
F[71,x] = F[19,x]*F[72,x]
F[72,x] = F[73,x]+F[74,x]
F[73,x] = F[45,x]+F[70,x]
F[74,x] = F[64,x]
F[75,x] = F[19,x]*F[76,x]
F[76,x] = F[52,x]+F[70,x]
F[77,x] = F[52,x]+F[78,x]
F[78,x] = F[21,x]+F[71,x]+F[79,x]+F[81,x]
F[79,x] = F[19,x]*F[80,x]
F[80,x] = F[77,x]
F[81,x] = 0
F[82,x] = F[19,x]*F[83,x]
F[83,x] = F[84,x]+F[86,x]
F[84,x] = F[11,x]+F[85,x]
F[85,x] = F[21,x]+F[53,x]+F[82,x]
F[86,x] = F[20,x]+F[87,x]
F[87,x] = F[21,x]+F[71,x]+F[79,x]+F[88,x]
F[88,x] = 0
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_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{36}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{19}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{1}\! \left(x \right)+F_{6}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{20}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{19}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)
F_{14}\! \left(x \right) = F_{1}\! \left(x \right)+F_{11}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{19}\! \left(x \right)
F_{18}\! \left(x \right) = F_{1}\! \left(x \right)+F_{16}\! \left(x \right)
F_{19}\! \left(x \right) = x
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)+F_{34}\! \left(x \right)
F_{21}\! \left(x \right) = 0
F_{22}\! \left(x \right) = F_{19}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{28}\! \left(x \right)
F_{24}\! \left(x \right) = F_{16}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{19}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{11}\! \left(x \right)+F_{25}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{21}\! \left(x \right)+F_{30}\! \left(x \right)+F_{32}\! \left(x \right)
F_{30}\! \left(x \right) = F_{19}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{16}\! \left(x \right)+F_{29}\! \left(x \right)
F_{32}\! \left(x \right) = F_{19}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{16}\! \left(x \right)+F_{29}\! \left(x \right)
F_{34}\! \left(x \right) = F_{19}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{10}\! \left(x \right)
F_{36}\! \left(x \right) = F_{21}\! \left(x \right)+F_{37}\! \left(x \right)+F_{82}\! \left(x \right)
F_{37}\! \left(x \right) = F_{19}\! \left(x \right) F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{77}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{48}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{19}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{44}\! \left(x \right)
F_{43}\! \left(x \right) = F_{1}\! \left(x \right)+F_{40}\! \left(x \right)
F_{44}\! \left(x \right) = F_{16}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{19}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{40}\! \left(x \right)+F_{45}\! \left(x \right)
F_{48}\! \left(x \right) = F_{21}\! \left(x \right)+F_{37}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{19}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{69}\! \left(x \right)
F_{51}\! \left(x \right) = F_{11}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{21}\! \left(x \right)+F_{49}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{19}\! \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_{40}\! \left(x \right)+F_{52}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{21}\! \left(x \right)+F_{58}\! \left(x \right)+F_{60}\! \left(x \right)
F_{58}\! \left(x \right) = F_{19}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{40}\! \left(x \right)+F_{57}\! \left(x \right)
F_{60}\! \left(x \right) = F_{19}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{16}\! \left(x \right)+F_{57}\! \left(x \right)
F_{63}\! \left(x \right) = F_{29}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = 2 F_{21}\! \left(x \right)+F_{65}\! \left(x \right)+F_{67}\! \left(x \right)
F_{65}\! \left(x \right) = F_{19}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{45}\! \left(x \right)+F_{64}\! \left(x \right)
F_{67}\! \left(x \right) = F_{19}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{57}\! \left(x \right)+F_{64}\! \left(x \right)
F_{69}\! \left(x \right) = F_{25}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = 2 F_{21}\! \left(x \right)+F_{71}\! \left(x \right)+F_{75}\! \left(x \right)
F_{71}\! \left(x \right) = F_{19}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{74}\! \left(x \right)
F_{73}\! \left(x \right) = F_{45}\! \left(x \right)+F_{70}\! \left(x \right)
F_{74}\! \left(x \right) = F_{64}\! \left(x \right)
F_{75}\! \left(x \right) = F_{19}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{52}\! \left(x \right)+F_{70}\! \left(x \right)
F_{77}\! \left(x \right) = F_{52}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{21}\! \left(x \right)+F_{71}\! \left(x \right)+F_{79}\! \left(x \right)+F_{81}\! \left(x \right)
F_{79}\! \left(x \right) = F_{19}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{77}\! \left(x \right)
F_{81}\! \left(x \right) = 0
F_{82}\! \left(x \right) = F_{19}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)+F_{86}\! \left(x \right)
F_{84}\! \left(x \right) = F_{11}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{21}\! \left(x \right)+F_{53}\! \left(x \right)+F_{82}\! \left(x \right)
F_{86}\! \left(x \right) = F_{20}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{21}\! \left(x \right)+F_{71}\! \left(x \right)+F_{79}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = 0
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_19(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_36(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_19(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_1(x) + F_6(x))
Eq(F_10(x), F_11(x) + F_20(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_19(x))
Eq(F_13(x), F_14(x) + F_15(x))
Eq(F_14(x), F_1(x) + F_11(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)*F_19(x))
Eq(F_18(x), F_1(x) + F_16(x))
Eq(F_19(x), x)
Eq(F_20(x), F_21(x) + F_22(x) + F_34(x))
Eq(F_21(x), 0)
Eq(F_22(x), F_19(x)*F_23(x))
Eq(F_23(x), F_24(x) + F_28(x))
Eq(F_24(x), F_16(x) + F_25(x))
Eq(F_25(x), F_21(x) + F_22(x) + F_26(x))
Eq(F_26(x), F_19(x)*F_27(x))
Eq(F_27(x), F_11(x) + F_25(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_21(x) + F_30(x) + F_32(x))
Eq(F_30(x), F_19(x)*F_31(x))
Eq(F_31(x), F_16(x) + F_29(x))
Eq(F_32(x), F_19(x)*F_33(x))
Eq(F_33(x), F_16(x) + F_29(x))
Eq(F_34(x), F_19(x)*F_35(x))
Eq(F_35(x), F_10(x))
Eq(F_36(x), F_21(x) + F_37(x) + F_82(x))
Eq(F_37(x), F_19(x)*F_38(x))
Eq(F_38(x), F_39(x) + F_77(x))
Eq(F_39(x), F_40(x) + F_48(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_19(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_44(x))
Eq(F_43(x), F_1(x) + F_40(x))
Eq(F_44(x), F_16(x) + F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_19(x)*F_47(x))
Eq(F_47(x), F_40(x) + F_45(x))
Eq(F_48(x), F_21(x) + F_37(x) + F_49(x))
Eq(F_49(x), F_19(x)*F_50(x))
Eq(F_50(x), F_51(x) + F_69(x))
Eq(F_51(x), F_11(x) + F_52(x))
Eq(F_52(x), F_21(x) + F_49(x) + F_53(x))
Eq(F_53(x), F_19(x)*F_54(x))
Eq(F_54(x), F_55(x) + F_56(x))
Eq(F_55(x), F_40(x) + F_52(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_21(x) + F_58(x) + F_60(x))
Eq(F_58(x), F_19(x)*F_59(x))
Eq(F_59(x), F_40(x) + F_57(x))
Eq(F_60(x), F_19(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_16(x) + F_57(x))
Eq(F_63(x), F_29(x) + F_64(x))
Eq(F_64(x), 2*F_21(x) + F_65(x) + F_67(x))
Eq(F_65(x), F_19(x)*F_66(x))
Eq(F_66(x), F_45(x) + F_64(x))
Eq(F_67(x), F_19(x)*F_68(x))
Eq(F_68(x), F_57(x) + F_64(x))
Eq(F_69(x), F_25(x) + F_70(x))
Eq(F_70(x), 2*F_21(x) + F_71(x) + F_75(x))
Eq(F_71(x), F_19(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_74(x))
Eq(F_73(x), F_45(x) + F_70(x))
Eq(F_74(x), F_64(x))
Eq(F_75(x), F_19(x)*F_76(x))
Eq(F_76(x), F_52(x) + F_70(x))
Eq(F_77(x), F_52(x) + F_78(x))
Eq(F_78(x), F_21(x) + F_71(x) + F_79(x) + F_81(x))
Eq(F_79(x), F_19(x)*F_80(x))
Eq(F_80(x), F_77(x))
Eq(F_81(x), 0)
Eq(F_82(x), F_19(x)*F_83(x))
Eq(F_83(x), F_84(x) + F_86(x))
Eq(F_84(x), F_11(x) + F_85(x))
Eq(F_85(x), F_21(x) + F_53(x) + F_82(x))
Eq(F_86(x), F_20(x) + F_87(x))
Eq(F_87(x), F_21(x) + F_71(x) + F_79(x) + F_88(x))
Eq(F_88(x), 0)
Pack JSON:
{"name": "regular_insertion_encoding_left", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": true, "maxreqlen": 1, "extra_basis": [], "one_cell_only": true}], "inferral_strats": [], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0], "place_row": false, "place_col": true}]], "symmetries": [], "iterative": false}
Specification JSON:
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{"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 4, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3, 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3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 4, 0, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 4, 0, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 4, 3, 0, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], 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