0213_1032_1230_3021
Counting sequence:
1, 1, 2, 6, 20, 59, 158, 406, 1031, 2622, 6708, 17271, 44702, 116150, 302603, 789766, 2063588, 5395923, 14115918, 36938406, 96677519, 253058846, 662441828, 1734174031, 4539930350, 11885374374, 31115800083, 81461390406, 213267342836, 558338974187, 1461746887358, 3826897331446, 10018938058007, 26229905436990, 68670759798228, 179782344097191, 470676224177918, 1232246250260438, 3226062400111643, 8445940745406406, 22111759504947524, 57889337233607811, 151556251328887278, 396779415350236806, 1038781992452017055, 2719566558333190814, 7119917676605125508, 18640186461867132031, 48800641693438786766, 127761738593276690502, 334484574045661262883, 875691983477804538246, 2292591376281119769812, 6002082145193019628955, 15713655059018771392478, 41138883031411591681366, 107702994034485133059623, 281970099070861234038078, 738207303176185125002868, 1932651810454598123459031, 5059748128182599783810654, 13246592574085095748897526, 34680029594059572522242603, 90793496208072401398115206, 237700459030123296311748260, 622307880882241931757059379, 1629223183616512607819004558, 4265361669967150444779458406, 11166861826284703388458449071, 29235223808886578935614470942, 76538809600374417295342623908, 200381204992235676042389642671, 524604805376330997800760205742, 1373433211136754707420801117670, 3595694828033928901491487191603, 9413651272965025164144414644166, 24645258990861135535062354971828, 64522125699618363552254002688843, 168921118107993926177031603742718, 442241228624363368145384111604406, 1157802567765096102480995984783159, 3031166474670924816686022399522366, 7935696856247678149187365024273428, 20775924094072109309874785040564231, 54392075425968649261045996275174590, 142400302183833837632870922329980694, 372808831125532862277783495437543483, 976026191192764747000304007250446406, 2555269742452761375163169694304367876, 6689783036165519372729070686921025507, 17514079366043796733703949145707648558, 45852455061965870813302549140709227846, 120043285819853815681803377446176282047, 314277402397595576192627034758083172510, 822788921372932912832196857558093036228, 2154089361721203162200602120206479290591, 5639479163790676573602367216081647990158, 14764348129650826558335895823349051188358, 38653565225161803100967474262296395237443, 101196347545834582743858077267181610694406, 264935477412341945129460461851220802678164
Generating function in Maple syntax:
-(x^8+x^7-5*x^6-3*x^5-2*x^4-2*x^3+8*x^2-5*x+1)/(x^2-3*x+1)/(x^2+x-1)/(x-1)^2
Generating function in latex syntax:
-\frac{x^{8}+x^{7}-5 x^{6}-3 x^{5}-2 x^{4}-2 x^{3}+8 x^{2}-5 x +1}{\left(x^{2}-3 x +1\right) \left(x^{2}+x -1\right) \left(x -1\right)^{2}}
Generating function in sympy syntax:
(-x**8 - x**7 + 5*x**6 + 3*x**5 + 2*x**4 + 2*x**3 - 8*x**2 + 5*x - 1)/((x - 1)**2*(x**2 - 3*x + 1)*(x**2 + x - 1))
Implicit equation for the generating function in Maple syntax:
(x^2-3*x+1)*(x^2+x-1)*(x-1)^2*F(x)+x^8+x^7-5*x^6-3*x^5-2*x^4-2*x^3+8*x^2-5*x+1 = 0
Implicit equation for the generating function in latex syntax:
\left(x^{2}-3 x +1\right) \left(x^{2}+x -1\right) \left(x -1\right)^{2} F \! \left(x \right)+x^{8}+x^{7}-5 x^{6}-3 x^{5}-2 x^{4}-2 x^{3}+8 x^{2}-5 x +1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,n = 2,2,1/10*(-16*5^(1/2)+40)*(3/2-1/2*5^(1/2))^(-n)+1/10*(16*5^(1/2)+40)*(3/2+1/2*5^(1/2))^(-n)+1/10*(-7*5^(1/2)+15)*(-1/2*5^(1/2)-1/2)^(-n)+1/10*(7*5^(1/2)+15)*(1/2*5^(1/2)-1/2)^(-n)+3-6*n)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ 2 & n =2 \\ \frac{\left(-16 \sqrt{5}+40\right) \left(\frac{3}{2}-\frac{\sqrt{5}}{2}\right)^{-n}}{10}+\frac{\left(16 \sqrt{5}+40\right) \left(\frac{3}{2}+\frac{\sqrt{5}}{2}\right)^{-n}}{10}+\\\frac{\left(-7 \sqrt{5}+15\right) \left(-\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{-n}}{10}+\frac{\left(7 \sqrt{5}+15\right) \left(\frac{\sqrt{5}}{2}-\frac{1}{2}\right)^{-n}}{10}+3-6 n & \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) = 59
a(6) = 158
a(7) = 406
a(8) = 1031
a(n+4) = a(n)-2*a(n+1)-3*a(n+2)+4*a(n+3)+3-6*n, 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) = 59
a \! \left(6\right) = 158
a \! \left(7\right) = 406
a \! \left(8\right) = 1031
a \! \left(n +4\right) = a \! \left(n \right)-2 a \! \left(n +1\right)-3 a \! \left(n +2\right)+4 a \! \left(n +3\right)+3-6 n, \quad n \geq 9
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/15755/
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[16,x]*F[4,x]
F[4,x] = F[24,x]+F[5,x]
F[5,x] = F[1,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[16,x]*F[8,x]
F[8,x] = F[5,x]+F[9,x]
F[9,x] = F[10,x]+F[21,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[16,x]
F[12,x] = F[13,x]+F[17,x]
F[13,x] = F[1,x]+F[14,x]
F[14,x] = F[15,x]
F[15,x] = F[13,x]*F[16,x]
F[16,x] = x
F[17,x] = F[10,x]+F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[16,x]*F[20,x]
F[20,x] = F[10,x]
F[21,x] = F[22,x]
F[22,x] = F[16,x]*F[23,x]
F[23,x] = F[9,x]
F[24,x] = F[25,x]+F[48,x]
F[25,x] = F[26,x]
F[26,x] = F[16,x]*F[27,x]
F[27,x] = F[13,x]+F[28,x]
F[28,x] = F[25,x]+F[29,x]
F[29,x] = F[30,x]+F[31,x]+F[46,x]
F[30,x] = 0
F[31,x] = F[16,x]*F[32,x]
F[32,x] = F[33,x]+F[36,x]
F[33,x] = F[16,x]+F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[14,x]*F[16,x]
F[36,x] = F[37,x]+F[39,x]
F[37,x] = F[30,x]+F[31,x]+F[38,x]
F[38,x] = F[16,x]*F[25,x]
F[39,x] = F[40,x]
F[40,x] = F[16,x]*F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[16,x]*F[43,x]
F[43,x] = F[44,x]+F[45,x]
F[44,x] = F[16,x]
F[45,x] = F[42,x]
F[46,x] = F[16,x]*F[47,x]
F[47,x] = F[25,x]+F[41,x]
F[48,x] = F[30,x]+F[49,x]+F[83,x]
F[49,x] = F[16,x]*F[50,x]
F[50,x] = F[51,x]+F[61,x]
F[51,x] = F[52,x]+F[55,x]
F[52,x] = F[53,x]
F[53,x] = F[16,x]*F[54,x]
F[54,x] = F[1,x]+F[52,x]
F[55,x] = F[30,x]+F[56,x]+F[59,x]
F[56,x] = F[16,x]*F[57,x]
F[57,x] = F[52,x]+F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[16,x]*F[60,x]
F[60,x] = F[14,x]+F[58,x]
F[61,x] = F[62,x]+F[65,x]
F[62,x] = F[30,x]+F[49,x]+F[63,x]
F[63,x] = F[16,x]*F[64,x]
F[64,x] = F[25,x]+F[62,x]
F[65,x] = F[30,x]+F[66,x]+F[79,x]+F[81,x]
F[66,x] = F[16,x]*F[67,x]
F[67,x] = F[68,x]+F[73,x]
F[68,x] = F[69,x]+F[71,x]
F[69,x] = F[70,x]
F[70,x] = F[16,x]*F[52,x]
F[71,x] = F[72,x]
F[72,x] = F[16,x]*F[58,x]
F[73,x] = F[74,x]+F[76,x]
F[74,x] = 2*F[30,x]+F[66,x]+F[75,x]
F[75,x] = F[16,x]*F[62,x]
F[76,x] = F[77,x]
F[77,x] = F[16,x]*F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[16,x]*F[80,x]
F[80,x] = F[41,x]+F[78,x]
F[81,x] = F[16,x]*F[82,x]
F[82,x] = F[62,x]+F[78,x]
F[83,x] = F[16,x]*F[84,x]
F[84,x] = F[24,x]+F[85,x]
F[85,x] = F[86,x]+F[87,x]
F[86,x] = F[42,x]
F[87,x] = F[88,x]
F[88,x] = F[16,x]*F[89,x]
F[89,x] = F[85,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_{16}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{24}\! \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_{16}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{5}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{21}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{16}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{17}\! \left(x \right)
F_{13}\! \left(x \right) = F_{1}\! \left(x \right)+F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = x
F_{17}\! \left(x \right) = F_{10}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{16}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{10}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{16}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{9}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{48}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{16}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{13}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{25}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{31}\! \left(x \right)+F_{46}\! \left(x \right)
F_{30}\! \left(x \right) = 0
F_{31}\! \left(x \right) = F_{16}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{36}\! \left(x \right)
F_{33}\! \left(x \right) = F_{16}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{14}\! \left(x \right) F_{16}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{39}\! \left(x \right)
F_{37}\! \left(x \right) = F_{30}\! \left(x \right)+F_{31}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{16}\! \left(x \right) F_{25}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{16}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{16}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)
F_{44}\! \left(x \right) = F_{16}\! \left(x \right)
F_{45}\! \left(x \right) = F_{42}\! \left(x \right)
F_{46}\! \left(x \right) = F_{16}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{25}\! \left(x \right)+F_{41}\! \left(x \right)
F_{48}\! \left(x \right) = F_{30}\! \left(x \right)+F_{49}\! \left(x \right)+F_{83}\! \left(x \right)
F_{49}\! \left(x \right) = F_{16}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{61}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{55}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{16}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{1}\! \left(x \right)+F_{52}\! \left(x \right)
F_{55}\! \left(x \right) = F_{30}\! \left(x \right)+F_{56}\! \left(x \right)+F_{59}\! \left(x \right)
F_{56}\! \left(x \right) = F_{16}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{52}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{16}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{14}\! \left(x \right)+F_{58}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{65}\! \left(x \right)
F_{62}\! \left(x \right) = F_{30}\! \left(x \right)+F_{49}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{16}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{25}\! \left(x \right)+F_{62}\! \left(x \right)
F_{65}\! \left(x \right) = F_{30}\! \left(x \right)+F_{66}\! \left(x \right)+F_{79}\! \left(x \right)+F_{81}\! \left(x \right)
F_{66}\! \left(x \right) = F_{16}\! \left(x \right) F_{67}\! \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_{71}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{16}\! \left(x \right) F_{52}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{16}\! \left(x \right) F_{58}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{76}\! \left(x \right)
F_{74}\! \left(x \right) = 2 F_{30}\! \left(x \right)+F_{66}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{16}\! \left(x \right) F_{62}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{16}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{16}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{41}\! \left(x \right)+F_{78}\! \left(x \right)
F_{81}\! \left(x \right) = F_{16}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{62}\! \left(x \right)+F_{78}\! \left(x \right)
F_{83}\! \left(x \right) = F_{16}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{24}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{87}\! \left(x \right)
F_{86}\! \left(x \right) = F_{42}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{16}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{85}\! \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_16(x)*F_4(x))
Eq(F_4(x), F_24(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_16(x)*F_8(x))
Eq(F_8(x), F_5(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_21(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_16(x))
Eq(F_12(x), F_13(x) + F_17(x))
Eq(F_13(x), F_1(x) + F_14(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_13(x)*F_16(x))
Eq(F_16(x), x)
Eq(F_17(x), F_10(x) + F_18(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_16(x)*F_20(x))
Eq(F_20(x), F_10(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_16(x)*F_23(x))
Eq(F_23(x), F_9(x))
Eq(F_24(x), F_25(x) + F_48(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_16(x)*F_27(x))
Eq(F_27(x), F_13(x) + F_28(x))
Eq(F_28(x), F_25(x) + F_29(x))
Eq(F_29(x), F_30(x) + F_31(x) + F_46(x))
Eq(F_30(x), 0)
Eq(F_31(x), F_16(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_36(x))
Eq(F_33(x), F_16(x) + F_34(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_14(x)*F_16(x))
Eq(F_36(x), F_37(x) + F_39(x))
Eq(F_37(x), F_30(x) + F_31(x) + F_38(x))
Eq(F_38(x), F_16(x)*F_25(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_16(x)*F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_16(x)*F_43(x))
Eq(F_43(x), F_44(x) + F_45(x))
Eq(F_44(x), F_16(x))
Eq(F_45(x), F_42(x))
Eq(F_46(x), F_16(x)*F_47(x))
Eq(F_47(x), F_25(x) + F_41(x))
Eq(F_48(x), F_30(x) + F_49(x) + F_83(x))
Eq(F_49(x), F_16(x)*F_50(x))
Eq(F_50(x), F_51(x) + F_61(x))
Eq(F_51(x), F_52(x) + F_55(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_16(x)*F_54(x))
Eq(F_54(x), F_1(x) + F_52(x))
Eq(F_55(x), F_30(x) + F_56(x) + F_59(x))
Eq(F_56(x), F_16(x)*F_57(x))
Eq(F_57(x), F_52(x) + F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_16(x)*F_60(x))
Eq(F_60(x), F_14(x) + F_58(x))
Eq(F_61(x), F_62(x) + F_65(x))
Eq(F_62(x), F_30(x) + F_49(x) + F_63(x))
Eq(F_63(x), F_16(x)*F_64(x))
Eq(F_64(x), F_25(x) + F_62(x))
Eq(F_65(x), F_30(x) + F_66(x) + F_79(x) + F_81(x))
Eq(F_66(x), F_16(x)*F_67(x))
Eq(F_67(x), F_68(x) + F_73(x))
Eq(F_68(x), F_69(x) + F_71(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_16(x)*F_52(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_16(x)*F_58(x))
Eq(F_73(x), F_74(x) + F_76(x))
Eq(F_74(x), 2*F_30(x) + F_66(x) + F_75(x))
Eq(F_75(x), F_16(x)*F_62(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_16(x)*F_78(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_16(x)*F_80(x))
Eq(F_80(x), F_41(x) + F_78(x))
Eq(F_81(x), F_16(x)*F_82(x))
Eq(F_82(x), F_62(x) + F_78(x))
Eq(F_83(x), F_16(x)*F_84(x))
Eq(F_84(x), F_24(x) + F_85(x))
Eq(F_85(x), F_86(x) + F_87(x))
Eq(F_86(x), F_42(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_16(x)*F_89(x))
Eq(F_89(x), F_85(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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