0213_0321_1032_1230_2130
Counting sequence:
1, 1, 2, 6, 19, 51, 128, 312, 749, 1789, 4270, 10202, 24415, 58527, 140508, 337740, 812633, 1956793, 4714746, 11365134, 27406059, 66105547, 159485208, 384833216, 928705093, 2241422005, 5410038246, 13058719522, 31522365879, 76094049847, 183693173556, 443448591892, 1070531858609, 2584404713073, 6239143384690, 15062327487382, 36363128868035, 87787353836643, 211935571667760, 511654331420104, 1235236572495261, 2982113383772013, 7199437419635614, 17380940547987946, 41961230827513615, 101303240919457999, 244567416019718924, 590437527340529756, 1425441467152144137, 3441318615831106601, 8308075303833645162, 20057462979155338654, 48422989777006840219, 116903421408707766011, 282229793740480578248, 681362937426128392784, 1644955537150793786613, 3971273769968290064677, 9587502632422463907286, 23146278216946938391602, 55880057562025725292391, 134906390574176584081511, 325692833621400193674340, 786292048456885851355684, 1898276913319280271634785, 4582845843430484950018273, 11063968541939305982238434, 26710782820187299655703846, 64485533985286202400814451, 155681850428369260116276371, 375849234175484778140687328, 907380317553380724671082584, 2190609867027357746922547277, 5288600047460709701736623069, 12767809954320544061329365134, 30824219942071289737989065210, 74416249812656995845055224511, 179656719519920412560374526207, 433729688765196316319420729148, 1047116096889740543992855177068, 2527961882249338529584661739449, 6103039860845204722588964956313, 14734041602940623718262547800538, 35571123064888776147320333661742, 85876287729338162864036230676555, 207323698517348288458232039819563, 500523684752600237202678843776632, 1208371068001517433719740521190368, 2917265820716952459503328458239909, 7042902709364273875865895337030549, 17003071239314637760091936397560774, 41049045187752855822907251868854082, 99101161614377644904760239036590359, 239251368415693885106995829845317271, 577603898444267756519031281268530068, 1394459165301474774518759673728285748, 3366522229042150762805099392515596817, 8127503623376457475151487886437187409, 19621529475777925721752854638204082514, 47370562574900783559573054827127665846, 114362654625521508665482130857233545763
Generating function in Maple syntax:
-(2*x-1)*(2*x^5+5*x^4+2*x^3-2*x+1)/(x^2+2*x-1)/(x^3+x^2+x-1)/(x-1)^2
Generating function in latex syntax:
-\frac{\left(2 x -1\right) \left(2 x^{5}+5 x^{4}+2 x^{3}-2 x +1\right)}{\left(x^{2}+2 x -1\right) \left(x^{3}+x^{2}+x -1\right) \left(x -1\right)^{2}}
Generating function in sympy syntax:
(1 - 2*x)*(2*x**5 + 5*x**4 + 2*x**3 - 2*x + 1)/((x - 1)**2*(x**2 + 2*x - 1)*(x**3 + x**2 + x - 1))
Implicit equation for the generating function in Maple syntax:
(x^2+2*x-1)*(x^3+x^2+x-1)*(x-1)^2*F(x)+(2*x-1)*(2*x^5+5*x^4+2*x^3-2*x+1) = 0
Implicit equation for the generating function in latex syntax:
\left(x^{2}+2 x -1\right) \left(x^{3}+x^{2}+x -1\right) \left(x -1\right)^{2} F \! \left(x \right)+\left(2 x -1\right) \left(2 x^{5}+5 x^{4}+2 x^{3}-2 x +1\right) = 0
Explicit closed form in Maple syntax:
1/264*(((-7*3^(1/2)-21*I)*11^(1/2)+33*I*3^(1/2)+33)*(17+3*11^(1/2)*3^(1/2))^(1/3)+33*(17+3*11^(1/2)*3^(1/2))^(2/3)*((-5/11*I+5/33*3^(1/2))*11^(1/2)+I*3^(1/2)-1))*(1/24*((17*I+3*11^(1/2))*3^(1/2)-9*I*11^(1/2)-17)*(17+3*11^(1/2)*3^(1/2))^(2/3)-1/6*I*3^(1/2)*(17+3*11^(1/2)*3^(1/2))^(1/3)-1/6*(17+3*11^(1/2)*3^(1/2))^(1/3)-1/3)^(-n)+1/264*(((21*I-7*3^(1/2))*11^(1/2)-33*I*3^(1/2)+33)*(17+3*11^(1/2)*3^(1/2))^(1/3)-33*((-5/11*I-5/33*3^(1/2))*11^(1/2)+I*3^(1/2)+1)*(17+3*11^(1/2)*3^(1/2))^(2/3))*(1/24*((-17*I+3*11^(1/2))*3^(1/2)+9*I*11^(1/2)-17)*(17+3*11^(1/2)*3^(1/2))^(2/3)+1/6*I*3^(1/2)*(17+3*11^(1/2)*3^(1/2))^(1/3)-1/6*(17+3*11^(1/2)*3^(1/2))^(1/3)-1/3)^(-n)+1/264*(14*(17+3*11^(1/2)*3^(1/2))^(1/3)*11^(1/2)*3^(1/2)-10*(17+3*11^(1/2)*3^(1/2))^(2/3)*11^(1/2)*3^(1/2)-66*(17+3*11^(1/2)*3^(1/2))^(1/3)+66*(17+3*11^(1/2)*3^(1/2))^(2/3))*(1/3*(17+3*11^(1/2)*3^(1/2))^(1/3)-1/3+17/12*(17+3*11^(1/2)*3^(1/2))^(2/3)-1/4*(17+3*11^(1/2)*3^(1/2))^(2/3)*11^(1/2)*3^(1/2))^(-n)+1/264*(-66*2^(1/2)+66)*(-1-2^(1/2))^(-n)+1/264*(66*2^(1/2)+66)*(2^(1/2)-1)^(-n)-2*n+1/2
Explicit closed form in latex syntax:
\frac{\left(\left(\left(-7 \sqrt{3}-21 \,\mathrm{I}\right) \sqrt{11}+33 \,\mathrm{I} \sqrt{3}+33\right) \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}+33 \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{2}{3}} \left(\left(-\frac{5 \,\mathrm{I}}{11}+\frac{5 \sqrt{3}}{33}\right) \sqrt{11}+\mathrm{I} \sqrt{3}-1\right)\right) \left(\frac{\left(\left(17 \,\mathrm{I}+3 \sqrt{11}\right) \sqrt{3}-9 \,\mathrm{I} \sqrt{11}-17\right) \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{2}{3}}}{24}-\frac{\mathrm{I} \sqrt{3}\, \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}}{6}-\frac{\left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}}{6}-\frac{1}{3}\right)^{-n}}{264}+\frac{\left(\left(\left(21 \,\mathrm{I}-7 \sqrt{3}\right) \sqrt{11}-33 \,\mathrm{I} \sqrt{3}+33\right) \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}-33 \left(\left(-\frac{5 \,\mathrm{I}}{11}-\frac{5 \sqrt{3}}{33}\right) \sqrt{11}+\mathrm{I} \sqrt{3}+1\right) \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{2}{3}}\right) \left(\frac{\left(\left(-17 \,\mathrm{I}+3 \sqrt{11}\right) \sqrt{3}+9 \,\mathrm{I} \sqrt{11}-17\right) \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{2}{3}}}{24}+\frac{\mathrm{I} \sqrt{3}\, \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}}{6}-\frac{\left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}}{6}-\frac{1}{3}\right)^{-n}}{264}+\frac{\left(14 \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}} \sqrt{11}\, \sqrt{3}-10 \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{2}{3}} \sqrt{11}\, \sqrt{3}-66 \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}+66 \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{2}{3}}\right) \left(\frac{\left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{1}{3}}}{3}-\frac{1}{3}+\frac{17 \left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{2}{3}}}{12}-\frac{\left(17+3 \sqrt{11}\, \sqrt{3}\right)^{\frac{2}{3}} \sqrt{11}\, \sqrt{3}}{4}\right)^{-n}}{264}+\frac{\left(-66 \sqrt{2}+66\right) \left(-1-\sqrt{2}\right)^{-n}}{264}+\frac{\left(66 \sqrt{2}+66\right) \left(\sqrt{2}-1\right)^{-n}}{264}-2 n +\frac{1}{2}
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 19
a(5) = 51
a(6) = 128
a(n+2) = -1/2*a(n)-3/2*a(n+1)+3/2*a(n+4)-1/2*a(n+5)-4*n+1, n >= 7
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) = 51
a \! \left(6\right) = 128
a \! \left(n +2\right) = -\frac{a \! \left(n \right)}{2}-\frac{3 a \! \left(n +1\right)}{2}+\frac{3 a \! \left(n +4\right)}{2}-\frac{a \! \left(n +5\right)}{2}-4 n +1, \quad n \geq 7
Specification 1
Strategy pack name: point_placements
Tree: http://www.permpal.com/tree/20487/
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[17,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[5,x]+F[9,x]
F[9,x] = F[10,x]+F[14,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[13,x]
F[12,x] = x
F[13,x] = F[1,x]+F[12,x]
F[14,x] = F[15,x]
F[15,x] = F[12,x]*F[16,x]
F[16,x] = F[9,x]
F[17,x] = F[18,x]+F[30,x]
F[18,x] = F[19,x]
F[19,x] = F[12,x]*F[20,x]
F[20,x] = F[21,x]+F[24,x]
F[21,x] = F[1,x]+F[22,x]
F[22,x] = F[23,x]
F[23,x] = F[12,x]*F[13,x]
F[24,x] = F[18,x]+F[25,x]
F[25,x] = F[26,x]
F[26,x] = F[12,x]*F[27,x]
F[27,x] = F[18,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[12,x]*F[18,x]
F[30,x] = F[31,x]+F[32,x]+F[54,x]
F[31,x] = 0
F[32,x] = F[12,x]*F[33,x]
F[33,x] = F[34,x]+F[44,x]
F[34,x] = F[35,x]+F[38,x]
F[35,x] = F[36,x]
F[36,x] = F[12,x]*F[37,x]
F[37,x] = F[1,x]+F[35,x]
F[38,x] = F[31,x]+F[39,x]+F[42,x]
F[39,x] = F[12,x]*F[40,x]
F[40,x] = F[35,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[12,x]*F[43,x]
F[43,x] = F[12,x]+F[41,x]
F[44,x] = F[45,x]+F[48,x]
F[45,x] = F[31,x]+F[32,x]+F[46,x]
F[46,x] = F[12,x]*F[47,x]
F[47,x] = F[18,x]+F[45,x]
F[48,x] = 2*F[31,x]+F[49,x]+F[52,x]
F[49,x] = F[12,x]*F[50,x]
F[50,x] = F[45,x]+F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[12,x]*F[53,x]
F[53,x] = F[28,x]+F[51,x]
F[54,x] = F[12,x]*F[55,x]
F[55,x] = F[17,x]+F[56,x]
F[56,x] = F[57,x]+F[67,x]
F[57,x] = F[31,x]+F[58,x]+F[66,x]
F[58,x] = F[12,x]*F[59,x]
F[59,x] = F[60,x]+F[63,x]
F[60,x] = F[12,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = x^2
F[63,x] = F[28,x]+F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[12,x]*F[28,x]
F[66,x] = F[12,x]*F[27,x]
F[67,x] = F[68,x]
F[68,x] = F[12,x]*F[69,x]
F[69,x] = F[56,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_{17}\! \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_{5}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{14}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \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_{9}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{30}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{24}\! \left(x \right)
F_{21}\! \left(x \right) = F_{1}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{24}\! \left(x \right) = F_{18}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{12}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{18}\! \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_{18}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{32}\! \left(x \right)+F_{54}\! \left(x \right)
F_{31}\! \left(x \right) = 0
F_{32}\! \left(x \right) = F_{12}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{44}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{38}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{12}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{1}\! \left(x \right)+F_{35}\! \left(x \right)
F_{38}\! \left(x \right) = F_{31}\! \left(x \right)+F_{39}\! \left(x \right)+F_{42}\! \left(x \right)
F_{39}\! \left(x \right) = F_{12}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{35}\! \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_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{12}\! \left(x \right)+F_{41}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{48}\! \left(x \right)
F_{45}\! \left(x \right) = F_{31}\! \left(x \right)+F_{32}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{12}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{18}\! \left(x \right)+F_{45}\! \left(x \right)
F_{48}\! \left(x \right) = 2 F_{31}\! \left(x \right)+F_{49}\! \left(x \right)+F_{52}\! \left(x \right)
F_{49}\! \left(x \right) = F_{12}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{45}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{12}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{28}\! \left(x \right)+F_{51}\! \left(x \right)
F_{54}\! \left(x \right) = F_{12}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{17}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{67}\! \left(x \right)
F_{57}\! \left(x \right) = F_{31}\! \left(x \right)+F_{58}\! \left(x \right)+F_{66}\! \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_{63}\! \left(x \right)
F_{60}\! \left(x \right) = F_{12}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = x^{2}
F_{63}\! \left(x \right) = F_{28}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{12}\! \left(x \right) F_{28}\! \left(x \right)
F_{66}\! \left(x \right) = F_{12}\! \left(x \right) F_{27}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{12}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{56}\! \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_17(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_5(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_14(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_13(x))
Eq(F_12(x), x)
Eq(F_13(x), F_1(x) + F_12(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_12(x)*F_16(x))
Eq(F_16(x), F_9(x))
Eq(F_17(x), F_18(x) + F_30(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_12(x)*F_20(x))
Eq(F_20(x), F_21(x) + F_24(x))
Eq(F_21(x), F_1(x) + F_22(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_12(x)*F_13(x))
Eq(F_24(x), F_18(x) + F_25(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_12(x)*F_27(x))
Eq(F_27(x), F_18(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_12(x)*F_18(x))
Eq(F_30(x), F_31(x) + F_32(x) + F_54(x))
Eq(F_31(x), 0)
Eq(F_32(x), F_12(x)*F_33(x))
Eq(F_33(x), F_34(x) + F_44(x))
Eq(F_34(x), F_35(x) + F_38(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_12(x)*F_37(x))
Eq(F_37(x), F_1(x) + F_35(x))
Eq(F_38(x), F_31(x) + F_39(x) + F_42(x))
Eq(F_39(x), F_12(x)*F_40(x))
Eq(F_40(x), F_35(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_12(x)*F_43(x))
Eq(F_43(x), F_12(x) + F_41(x))
Eq(F_44(x), F_45(x) + F_48(x))
Eq(F_45(x), F_31(x) + F_32(x) + F_46(x))
Eq(F_46(x), F_12(x)*F_47(x))
Eq(F_47(x), F_18(x) + F_45(x))
Eq(F_48(x), 2*F_31(x) + F_49(x) + F_52(x))
Eq(F_49(x), F_12(x)*F_50(x))
Eq(F_50(x), F_45(x) + F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_12(x)*F_53(x))
Eq(F_53(x), F_28(x) + F_51(x))
Eq(F_54(x), F_12(x)*F_55(x))
Eq(F_55(x), F_17(x) + F_56(x))
Eq(F_56(x), F_57(x) + F_67(x))
Eq(F_57(x), F_31(x) + F_58(x) + F_66(x))
Eq(F_58(x), F_12(x)*F_59(x))
Eq(F_59(x), F_60(x) + F_63(x))
Eq(F_60(x), F_12(x) + F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), x**2)
Eq(F_63(x), F_28(x) + F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_12(x)*F_28(x))
Eq(F_66(x), F_12(x)*F_27(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_12(x)*F_69(x))
Eq(F_69(x), F_56(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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