0132_0231_0321_1203_3120
Counting sequence:
1, 1, 2, 6, 19, 53, 134, 320, 737, 1655, 3648, 7930, 17059, 36409, 77242, 163108, 343157, 719787, 1505988, 3144126, 6551703, 13629261, 28308958, 58717256, 121631369, 251654303, 520089224, 1073736770, 2214586827, 4563396385, 9395233858, 19327344940, 39728438749, 81604368979, 167503713932, 343597372038, 704374623807, 1443108997557, 2954937484518, 6047313936336, 12369505794673, 25288767419591, 51677046484688, 105553116244106, 215504279020019, 439804651084553, 897201488237514, 1829587348589620, 3729543441384517, 7599824371153915, 15481123719050068, 31525197391555150, 64176294689988839, 130604389193701149, 265712378014813422, 540431955284410968, 1098878309078349657, 2233785415175711727, 4539628424389402648, 9223372036854715346, 18734974449861199643, 38046409652025883121, 77245740808658676818, 156797324626531114556, 318206335271489687469, 645636042579834224803, 1309718829233378079004, 2656331146614175342870, 5386449269523188977807, 10920472491636054458245, 22136092888451461836278, 44862481587261629422560, 90905554795240670251329, 184172292831916163216919, 373066952146701971759712, 755578637259143234063898, 1530046740449765049104707, 3097872412762487260046297, 6271302689250888843644378, 12693721105953606334265156, 25689673666810869962350613, 51983810243429054512203851, 105176546306472738199269348, 212770944252174734748112606, 430377591782807986195217719, 870426590122533005788259053, 1760195993358900078371997694, 3559077612945468290334780520, 7195526478346272847850950697, 14545795461603218230064493375, 29401075933027781528853976488, 59421121885698253195157731170, 120080183810681886665214810219, 242636247699934533880228100289, 490224255557010588860052936802, 990352031428304219919299114828, 2000511103485174524236984472957, 4040636288227481217270741185267, 8160500738969226772135026593708, 16479457802966982219457141369766, 33275828255991021789288458831583
Generating function in Maple syntax:
-(4*x^8-6*x^6+10*x^5-20*x^4+28*x^3-20*x^2+7*x-1)/(2*x-1)^2/(x-1)^4
Generating function in latex syntax:
-\frac{4 x^{8}-6 x^{6}+10 x^{5}-20 x^{4}+28 x^{3}-20 x^{2}+7 x -1}{\left(2 x -1\right)^{2} \left(x -1\right)^{4}}
Generating function in sympy syntax:
(-4*x**8 + 6*x**6 - 10*x**5 + 20*x**4 - 28*x**3 + 20*x**2 - 7*x + 1)/((x - 1)**4*(2*x - 1)**2)
Implicit equation for the generating function in Maple syntax:
(2*x-1)^2*(x-1)^4*F(x)+4*x^8-6*x^6+10*x^5-20*x^4+28*x^3-20*x^2+7*x-1 = 0
Implicit equation for the generating function in latex syntax:
\left(2 x -1\right)^{2} \left(x -1\right)^{4} F \! \left(x \right)+4 x^{8}-6 x^{6}+10 x^{5}-20 x^{4}+28 x^{3}-20 x^{2}+7 x -1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,n = 2,2,13+1/4*2^n*n+5/4*2^n-73/6*n+5/2*n^2-1/3*n^3)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ 2 & n =2 \\ 13+\frac{2^{n} n}{4}+\frac{5 \,2^{n}}{4}-\frac{73 n}{6}+\frac{5 n^{2}}{2}-\frac{n^{3}}{3} & \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) = 53
a(6) = 134
a(7) = 320
a(8) = 737
a(n+2) = -1/3*n^3+9/2*n^2-4*a(n)+4*a(n+1)-133/6*n+36, 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) = 134
a \! \left(7\right) = 320
a \! \left(8\right) = 737
a \! \left(n +2\right) = -\frac{n^{3}}{3}+\frac{9 n^{2}}{2}-4 a \! \left(n \right)+4 a \! \left(n +1\right)-\frac{133 n}{6}+36, \quad n \geq 9
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/18671/
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[18,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[12,x]+F[14,x]
F[14,x] = F[15,x]+F[16,x]+F[17,x]
F[15,x] = 0
F[16,x] = F[10,x]*F[12,x]
F[17,x] = F[12,x]*F[13,x]
F[18,x] = F[19,x]+F[34,x]
F[19,x] = F[20,x]
F[20,x] = F[12,x]*F[21,x]
F[21,x] = F[22,x]+F[28,x]
F[22,x] = F[1,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[12,x]*F[25,x]
F[25,x] = F[26,x]+F[9,x]
F[26,x] = F[12,x]+F[27,x]
F[27,x] = F[16,x]
F[28,x] = F[19,x]+F[29,x]
F[29,x] = F[30,x]
F[30,x] = F[12,x]*F[31,x]
F[31,x] = F[32,x]+F[33,x]
F[32,x] = F[23,x]
F[33,x] = F[29,x]
F[34,x] = F[15,x]+F[35,x]+F[64,x]
F[35,x] = F[12,x]*F[36,x]
F[36,x] = F[37,x]+F[44,x]
F[37,x] = F[38,x]+F[6,x]
F[38,x] = F[39,x]
F[39,x] = F[12,x]*F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[12,x]+F[42,x]
F[42,x] = F[43,x]
F[43,x] = F[12,x]*F[41,x]
F[44,x] = F[34,x]+F[45,x]
F[45,x] = 2*F[15,x]+F[46,x]+F[50,x]
F[46,x] = F[12,x]*F[47,x]
F[47,x] = F[48,x]+F[49,x]
F[48,x] = F[38,x]
F[49,x] = F[45,x]
F[50,x] = F[12,x]*F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[53,x]+F[58,x]
F[53,x] = F[54,x]
F[54,x] = F[12,x]*F[55,x]
F[55,x] = F[56,x]+F[57,x]
F[56,x] = F[12,x]
F[57,x] = F[53,x]
F[58,x] = 2*F[15,x]+F[59,x]+F[63,x]
F[59,x] = F[12,x]*F[60,x]
F[60,x] = F[61,x]+F[62,x]
F[61,x] = F[42,x]
F[62,x] = F[58,x]
F[63,x] = F[12,x]*F[52,x]
F[64,x] = F[12,x]*F[65,x]
F[65,x] = F[66,x]+F[79,x]
F[66,x] = F[19,x]+F[67,x]
F[67,x] = F[15,x]+F[68,x]+F[78,x]
F[68,x] = F[12,x]*F[69,x]
F[69,x] = F[70,x]+F[72,x]
F[70,x] = F[10,x]+F[71,x]
F[71,x] = F[43,x]
F[72,x] = F[67,x]+F[73,x]
F[73,x] = 2*F[15,x]+F[63,x]+F[74,x]
F[74,x] = F[12,x]*F[75,x]
F[75,x] = F[76,x]+F[77,x]
F[76,x] = F[71,x]
F[77,x] = F[73,x]
F[78,x] = F[12,x]*F[66,x]
F[79,x] = F[80,x]+F[93,x]
F[80,x] = F[15,x]+F[81,x]+F[92,x]
F[81,x] = F[12,x]*F[82,x]
F[82,x] = F[83,x]+F[86,x]
F[83,x] = F[12,x]+F[84,x]
F[84,x] = F[85,x]
F[85,x] = x^2
F[86,x] = F[53,x]+F[87,x]
F[87,x] = F[88,x]
F[88,x] = F[12,x]*F[89,x]
F[89,x] = F[90,x]+F[91,x]
F[90,x] = F[84,x]
F[91,x] = F[87,x]
F[92,x] = F[12,x]*F[19,x]
F[93,x] = F[15,x]+F[94,x]+F[98,x]+F[99,x]
F[94,x] = F[12,x]*F[95,x]
F[95,x] = F[96,x]+F[97,x]
F[96,x] = F[42,x]
F[97,x] = F[58,x]
F[98,x] = F[12,x]*F[67,x]
F[99,x] = F[12,x]*F[79,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_{18}\! \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_{12}\! \left(x \right)+F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)+F_{17}\! \left(x \right)
F_{15}\! \left(x \right) = 0
F_{16}\! \left(x \right) = F_{10}\! \left(x \right) F_{12}\! \left(x \right)
F_{17}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{34}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{12}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{28}\! \left(x \right)
F_{22}\! \left(x \right) = F_{1}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{12}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{9}\! \left(x \right)
F_{26}\! \left(x \right) = F_{12}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{16}\! \left(x \right)
F_{28}\! \left(x \right) = F_{19}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{12}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)
F_{32}\! \left(x \right) = F_{23}\! \left(x \right)
F_{33}\! \left(x \right) = F_{29}\! \left(x \right)
F_{34}\! \left(x \right) = F_{15}\! \left(x \right)+F_{35}\! \left(x \right)+F_{64}\! \left(x \right)
F_{35}\! \left(x \right) = F_{12}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{44}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{6}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{12}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{12}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \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_{34}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{46}\! \left(x \right)+F_{50}\! \left(x \right)
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_{38}\! \left(x \right)
F_{49}\! \left(x \right) = F_{45}\! \left(x \right)
F_{50}\! \left(x \right) = F_{12}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{58}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \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_{12}\! \left(x \right)
F_{57}\! \left(x \right) = F_{53}\! \left(x \right)
F_{58}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{59}\! \left(x \right)+F_{63}\! \left(x \right)
F_{59}\! \left(x \right) = F_{12}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{62}\! \left(x \right)
F_{61}\! \left(x \right) = F_{42}\! \left(x \right)
F_{62}\! \left(x \right) = F_{58}\! \left(x \right)
F_{63}\! \left(x \right) = F_{12}\! \left(x \right) F_{52}\! \left(x \right)
F_{64}\! \left(x \right) = F_{12}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{79}\! \left(x \right)
F_{66}\! \left(x \right) = F_{19}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{15}\! \left(x \right)+F_{68}\! \left(x \right)+F_{78}\! \left(x \right)
F_{68}\! \left(x \right) = F_{12}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{72}\! \left(x \right)
F_{70}\! \left(x \right) = F_{10}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{43}\! \left(x \right)
F_{72}\! \left(x \right) = F_{67}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = 2 F_{15}\! \left(x \right)+F_{63}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{12}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{77}\! \left(x \right)
F_{76}\! \left(x \right) = F_{71}\! \left(x \right)
F_{77}\! \left(x \right) = F_{73}\! \left(x \right)
F_{78}\! \left(x \right) = F_{12}\! \left(x \right) F_{66}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{93}\! \left(x \right)
F_{80}\! \left(x \right) = F_{15}\! \left(x \right)+F_{81}\! \left(x \right)+F_{92}\! \left(x \right)
F_{81}\! \left(x \right) = F_{12}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)+F_{86}\! \left(x \right)
F_{83}\! \left(x \right) = F_{12}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = x^{2}
F_{86}\! \left(x \right) = F_{53}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{12}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{91}\! \left(x \right)
F_{90}\! \left(x \right) = F_{84}\! \left(x \right)
F_{91}\! \left(x \right) = F_{87}\! \left(x \right)
F_{92}\! \left(x \right) = F_{12}\! \left(x \right) F_{19}\! \left(x \right)
F_{93}\! \left(x \right) = F_{15}\! \left(x \right)+F_{94}\! \left(x \right)+F_{98}\! \left(x \right)+F_{99}\! \left(x \right)
F_{94}\! \left(x \right) = F_{12}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)+F_{97}\! \left(x \right)
F_{96}\! \left(x \right) = F_{42}\! \left(x \right)
F_{97}\! \left(x \right) = F_{58}\! \left(x \right)
F_{98}\! \left(x \right) = F_{12}\! \left(x \right) F_{67}\! \left(x \right)
F_{99}\! \left(x \right) = F_{12}\! \left(x \right) F_{79}\! \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_18(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_12(x) + F_14(x))
Eq(F_14(x), F_15(x) + F_16(x) + F_17(x))
Eq(F_15(x), 0)
Eq(F_16(x), F_10(x)*F_12(x))
Eq(F_17(x), F_12(x)*F_13(x))
Eq(F_18(x), F_19(x) + F_34(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_12(x)*F_21(x))
Eq(F_21(x), F_22(x) + F_28(x))
Eq(F_22(x), F_1(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_12(x)*F_25(x))
Eq(F_25(x), F_26(x) + F_9(x))
Eq(F_26(x), F_12(x) + F_27(x))
Eq(F_27(x), F_16(x))
Eq(F_28(x), F_19(x) + F_29(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_12(x)*F_31(x))
Eq(F_31(x), F_32(x) + F_33(x))
Eq(F_32(x), F_23(x))
Eq(F_33(x), F_29(x))
Eq(F_34(x), F_15(x) + F_35(x) + F_64(x))
Eq(F_35(x), F_12(x)*F_36(x))
Eq(F_36(x), F_37(x) + F_44(x))
Eq(F_37(x), F_38(x) + F_6(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_12(x)*F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_12(x) + F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_12(x)*F_41(x))
Eq(F_44(x), F_34(x) + F_45(x))
Eq(F_45(x), 2*F_15(x) + F_46(x) + F_50(x))
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_38(x))
Eq(F_49(x), F_45(x))
Eq(F_50(x), F_12(x)*F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_53(x) + F_58(x))
Eq(F_53(x), F_54(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_12(x))
Eq(F_57(x), F_53(x))
Eq(F_58(x), 2*F_15(x) + F_59(x) + F_63(x))
Eq(F_59(x), F_12(x)*F_60(x))
Eq(F_60(x), F_61(x) + F_62(x))
Eq(F_61(x), F_42(x))
Eq(F_62(x), F_58(x))
Eq(F_63(x), F_12(x)*F_52(x))
Eq(F_64(x), F_12(x)*F_65(x))
Eq(F_65(x), F_66(x) + F_79(x))
Eq(F_66(x), F_19(x) + F_67(x))
Eq(F_67(x), F_15(x) + F_68(x) + F_78(x))
Eq(F_68(x), F_12(x)*F_69(x))
Eq(F_69(x), F_70(x) + F_72(x))
Eq(F_70(x), F_10(x) + F_71(x))
Eq(F_71(x), F_43(x))
Eq(F_72(x), F_67(x) + F_73(x))
Eq(F_73(x), 2*F_15(x) + F_63(x) + F_74(x))
Eq(F_74(x), F_12(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_77(x))
Eq(F_76(x), F_71(x))
Eq(F_77(x), F_73(x))
Eq(F_78(x), F_12(x)*F_66(x))
Eq(F_79(x), F_80(x) + F_93(x))
Eq(F_80(x), F_15(x) + F_81(x) + F_92(x))
Eq(F_81(x), F_12(x)*F_82(x))
Eq(F_82(x), F_83(x) + F_86(x))
Eq(F_83(x), F_12(x) + F_84(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), x**2)
Eq(F_86(x), F_53(x) + F_87(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_12(x)*F_89(x))
Eq(F_89(x), F_90(x) + F_91(x))
Eq(F_90(x), F_84(x))
Eq(F_91(x), F_87(x))
Eq(F_92(x), F_12(x)*F_19(x))
Eq(F_93(x), F_15(x) + F_94(x) + F_98(x) + F_99(x))
Eq(F_94(x), F_12(x)*F_95(x))
Eq(F_95(x), F_96(x) + F_97(x))
Eq(F_96(x), F_42(x))
Eq(F_97(x), F_58(x))
Eq(F_98(x), F_12(x)*F_67(x))
Eq(F_99(x), F_12(x)*F_79(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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