0132_1203_2310_3021
Counting sequence:
1, 1, 2, 6, 20, 60, 162, 406, 968, 2232, 5030, 11154, 24444, 53092, 114506, 245550, 524048, 1113840, 2358990, 4980394, 10485380, 22019676, 46136882, 96468486, 201326040, 419429800, 872414582, 1811938626, 3758095628, 7784627412, 16106126490, 33285995614, 68719475744, 141733919712, 292057775006, 601295420250, 1236950579988, 2542620637900, 5222680230530, 10720238369334, 21990232553960, 45079976737176, 92358976731462, 189115999975666, 387028092975260, 791648371996740, 1618481116084202, 3307330976348046, 6755399441053488, 13792273858819792, 28147497671063150, 57420895248971274, 117093590311630244, 238690780250633532, 486388759756010706, 990791918021506150, 2017612633061979128, 4107282860161889160, 8358680908399637270, 17005592192950989474, 34587645138205405740, 70328211781017661876, 142962266571249021242, 290536219160925434046, 590295810358705647680, 1199038364791120850880, 2434970217729660809022, 4943727411754159828666, 10035028776097996074548, 20365205457375344979372, 41320706725109395615010, 83822005070936202538134, 170005193383307227687944, 344732753249484100594552, 698910239464707491621606, 1416709944860893564103250, 2871198821584744289921468, 5817955506895402903267620, 11787026741242634453379210, 23876284937388926200440814, 48357032784585166988240720, 97922991388784963151193776, 198263834416799184651806222, 401363372112056886002443626, 812398150781030805402543300, 1644139114675895677600392220, 3326963855579459488791389042, 6731298963614255244763980486, 13617340432139183023890358808, 27544165874099711116505506152, 55707301767842112370460582070, 112652543574969605015820296194, 227780967228509970581438848844, 460513694614161462262474202772, 930930909542605966724141407706, 1881668859713778017846668811550, 3802951800684688204490109607008, 7685131763883640746573763173280, 15528719852795810168334614256350, 31374352355648677687043404323354, 63382530011411470074835160258900
Generating function in Maple syntax:
(4*x^5-7*x^4+14*x^3-14*x^2+6*x-1)/(2*x-1)^2/(-1+x)^3
Generating function in latex syntax:
\frac{4 x^{5}-7 x^{4}+14 x^{3}-14 x^{2}+6 x -1}{\left(2 x -1\right)^{2} \left(-1+x \right)^{3}}
Generating function in sympy syntax:
(4*x**5 - 7*x**4 + 14*x**3 - 14*x**2 + 6*x - 1)/((x - 1)**3*(2*x - 1)**2)
Implicit equation for the generating function in Maple syntax:
(2*x-1)^2*(-1+x)^3*F(x)-4*x^5+7*x^4-14*x^3+14*x^2-6*x+1 = 0
Implicit equation for the generating function in latex syntax:
\left(2 x -1\right)^{2} \left(-1+x \right)^{3} F \! \left(x \right)-4 x^{5}+7 x^{4}-14 x^{3}+14 x^{2}-6 x +1 = 0
Explicit closed form in Maple syntax:
piecewise(n = 0,1,1/2*n*(2^n-2*n+2))
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0 \\ \frac{n \left(2^{n}-2 n +2\right)}{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) = 20
a(5) = 60
a(n+2) = -n^2-4*a(n)+4*a(n+1)+5*n-2, n >= 6
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) = 60
a \! \left(n +2\right) = -n^{2}-4 a \! \left(n \right)+4 a \! \left(n +1\right)+5 n -2, \quad n \geq 6
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/15601/
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[32,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[14,x]+F[26,x]
F[14,x] = F[15,x]
F[15,x] = F[12,x]*F[16,x]
F[16,x] = F[17,x]+F[9,x]
F[17,x] = F[18,x]+F[21,x]
F[18,x] = F[19,x]
F[19,x] = F[12,x]*F[20,x]
F[20,x] = F[1,x]+F[18,x]
F[21,x] = F[22,x]+F[23,x]+F[25,x]
F[22,x] = 0
F[23,x] = F[12,x]*F[24,x]
F[24,x] = F[10,x]+F[21,x]
F[25,x] = F[12,x]*F[17,x]
F[26,x] = F[22,x]+F[27,x]+F[31,x]
F[27,x] = F[12,x]*F[28,x]
F[28,x] = F[29,x]+F[30,x]
F[29,x] = F[10,x]
F[30,x] = F[21,x]
F[31,x] = F[12,x]*F[13,x]
F[32,x] = F[33,x]+F[43,x]
F[33,x] = F[34,x]
F[34,x] = F[12,x]*F[35,x]
F[35,x] = F[36,x]+F[37,x]
F[36,x] = F[1,x]+F[14,x]
F[37,x] = F[18,x]+F[38,x]
F[38,x] = F[22,x]+F[39,x]+F[41,x]
F[39,x] = F[12,x]*F[40,x]
F[40,x] = F[14,x]+F[38,x]
F[41,x] = F[12,x]*F[42,x]
F[42,x] = F[17,x]
F[43,x] = F[22,x]+F[44,x]+F[75,x]
F[44,x] = F[12,x]*F[45,x]
F[45,x] = F[46,x]+F[53,x]
F[46,x] = F[47,x]+F[6,x]
F[47,x] = F[48,x]
F[48,x] = F[12,x]*F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[14,x]+F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[12,x]*F[50,x]
F[53,x] = F[54,x]+F[70,x]
F[54,x] = F[22,x]+F[55,x]+F[57,x]
F[55,x] = F[12,x]*F[56,x]
F[56,x] = F[54,x]+F[6,x]
F[57,x] = F[12,x]*F[58,x]
F[58,x] = F[17,x]+F[59,x]
F[59,x] = F[60,x]+F[63,x]
F[60,x] = F[61,x]
F[61,x] = F[12,x]*F[62,x]
F[62,x] = F[14,x]+F[60,x]
F[63,x] = 2*F[22,x]+F[64,x]+F[69,x]
F[64,x] = F[12,x]*F[65,x]
F[65,x] = F[51,x]+F[66,x]
F[66,x] = 2*F[22,x]+F[64,x]+F[67,x]
F[67,x] = F[12,x]*F[68,x]
F[68,x] = F[60,x]+F[66,x]
F[69,x] = F[12,x]*F[59,x]
F[70,x] = 2*F[22,x]+F[71,x]+F[73,x]
F[71,x] = F[12,x]*F[72,x]
F[72,x] = F[47,x]+F[70,x]
F[73,x] = F[12,x]*F[74,x]
F[74,x] = F[68,x]
F[75,x] = F[12,x]*F[76,x]
F[76,x] = F[77,x]+F[87,x]
F[77,x] = F[33,x]+F[78,x]
F[78,x] = F[22,x]+F[79,x]+F[86,x]
F[79,x] = F[12,x]*F[80,x]
F[80,x] = F[81,x]+F[82,x]
F[81,x] = F[10,x]+F[51,x]
F[82,x] = F[21,x]+F[83,x]
F[83,x] = 2*F[22,x]+F[67,x]+F[84,x]
F[84,x] = F[12,x]*F[85,x]
F[85,x] = F[51,x]+F[83,x]
F[86,x] = F[12,x]*F[77,x]
F[87,x] = F[88,x]+F[93,x]
F[88,x] = F[89,x]
F[89,x] = F[12,x]*F[90,x]
F[90,x] = F[91,x]+F[92,x]
F[91,x] = F[14,x]
F[92,x] = F[60,x]
F[93,x] = 2*F[22,x]+F[94,x]+F[98,x]
F[94,x] = F[12,x]*F[95,x]
F[95,x] = F[96,x]+F[97,x]
F[96,x] = F[51,x]
F[97,x] = F[66,x]
F[98,x] = F[12,x]*F[87,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_{32}\! \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_{14}\! \left(x \right)+F_{26}\! \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_{17}\! \left(x \right)+F_{9}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{21}\! \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_{1}\! \left(x \right)+F_{18}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{23}\! \left(x \right)+F_{25}\! \left(x \right)
F_{22}\! \left(x \right) = 0
F_{23}\! \left(x \right) = F_{12}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{10}\! \left(x \right)+F_{21}\! \left(x \right)
F_{25}\! \left(x \right) = F_{12}\! \left(x \right) F_{17}\! \left(x \right)
F_{26}\! \left(x \right) = F_{22}\! \left(x \right)+F_{27}\! \left(x \right)+F_{31}\! \left(x \right)
F_{27}\! \left(x \right) = F_{12}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{30}\! \left(x \right)
F_{29}\! \left(x \right) = F_{10}\! \left(x \right)
F_{30}\! \left(x \right) = F_{21}\! \left(x \right)
F_{31}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{43}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{12}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = F_{1}\! \left(x \right)+F_{14}\! \left(x \right)
F_{37}\! \left(x \right) = F_{18}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{22}\! \left(x \right)+F_{39}\! \left(x \right)+F_{41}\! \left(x \right)
F_{39}\! \left(x \right) = F_{12}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{14}\! \left(x \right)+F_{38}\! \left(x \right)
F_{41}\! \left(x \right) = F_{12}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{17}\! \left(x \right)
F_{43}\! \left(x \right) = F_{22}\! \left(x \right)+F_{44}\! \left(x \right)+F_{75}\! \left(x \right)
F_{44}\! \left(x \right) = F_{12}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{53}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{6}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{12}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{14}\! \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_{50}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{70}\! \left(x \right)
F_{54}\! \left(x \right) = F_{22}\! \left(x \right)+F_{55}\! \left(x \right)+F_{57}\! \left(x \right)
F_{55}\! \left(x \right) = F_{12}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{54}\! \left(x \right)+F_{6}\! \left(x \right)
F_{57}\! \left(x \right) = F_{12}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{17}\! \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_{61}\! \left(x \right) = F_{12}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{14}\! \left(x \right)+F_{60}\! \left(x \right)
F_{63}\! \left(x \right) = 2 F_{22}\! \left(x \right)+F_{64}\! \left(x \right)+F_{69}\! \left(x \right)
F_{64}\! \left(x \right) = F_{12}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{51}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = 2 F_{22}\! \left(x \right)+F_{64}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{12}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{60}\! \left(x \right)+F_{66}\! \left(x \right)
F_{69}\! \left(x \right) = F_{12}\! \left(x \right) F_{59}\! \left(x \right)
F_{70}\! \left(x \right) = 2 F_{22}\! \left(x \right)+F_{71}\! \left(x \right)+F_{73}\! \left(x \right)
F_{71}\! \left(x \right) = F_{12}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{47}\! \left(x \right)+F_{70}\! \left(x \right)
F_{73}\! \left(x \right) = F_{12}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{68}\! \left(x \right)
F_{75}\! \left(x \right) = F_{12}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{87}\! \left(x \right)
F_{77}\! \left(x \right) = F_{33}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{22}\! \left(x \right)+F_{79}\! \left(x \right)+F_{86}\! \left(x \right)
F_{79}\! \left(x \right) = F_{12}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{82}\! \left(x \right)
F_{81}\! \left(x \right) = F_{10}\! \left(x \right)+F_{51}\! \left(x \right)
F_{82}\! \left(x \right) = F_{21}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = 2 F_{22}\! \left(x \right)+F_{67}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{12}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{51}\! \left(x \right)+F_{83}\! \left(x \right)
F_{86}\! \left(x \right) = F_{12}\! \left(x \right) F_{77}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)+F_{93}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{12}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{92}\! \left(x \right)
F_{91}\! \left(x \right) = F_{14}\! \left(x \right)
F_{92}\! \left(x \right) = F_{60}\! \left(x \right)
F_{93}\! \left(x \right) = 2 F_{22}\! \left(x \right)+F_{94}\! \left(x \right)+F_{98}\! \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_{51}\! \left(x \right)
F_{97}\! \left(x \right) = F_{66}\! \left(x \right)
F_{98}\! \left(x \right) = F_{12}\! \left(x \right) F_{87}\! \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_32(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_14(x) + F_26(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_12(x)*F_16(x))
Eq(F_16(x), F_17(x) + F_9(x))
Eq(F_17(x), F_18(x) + F_21(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_12(x)*F_20(x))
Eq(F_20(x), F_1(x) + F_18(x))
Eq(F_21(x), F_22(x) + F_23(x) + F_25(x))
Eq(F_22(x), 0)
Eq(F_23(x), F_12(x)*F_24(x))
Eq(F_24(x), F_10(x) + F_21(x))
Eq(F_25(x), F_12(x)*F_17(x))
Eq(F_26(x), F_22(x) + F_27(x) + F_31(x))
Eq(F_27(x), F_12(x)*F_28(x))
Eq(F_28(x), F_29(x) + F_30(x))
Eq(F_29(x), F_10(x))
Eq(F_30(x), F_21(x))
Eq(F_31(x), F_12(x)*F_13(x))
Eq(F_32(x), F_33(x) + F_43(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_12(x)*F_35(x))
Eq(F_35(x), F_36(x) + F_37(x))
Eq(F_36(x), F_1(x) + F_14(x))
Eq(F_37(x), F_18(x) + F_38(x))
Eq(F_38(x), F_22(x) + F_39(x) + F_41(x))
Eq(F_39(x), F_12(x)*F_40(x))
Eq(F_40(x), F_14(x) + F_38(x))
Eq(F_41(x), F_12(x)*F_42(x))
Eq(F_42(x), F_17(x))
Eq(F_43(x), F_22(x) + F_44(x) + F_75(x))
Eq(F_44(x), F_12(x)*F_45(x))
Eq(F_45(x), F_46(x) + F_53(x))
Eq(F_46(x), F_47(x) + F_6(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_12(x)*F_49(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_14(x) + F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_12(x)*F_50(x))
Eq(F_53(x), F_54(x) + F_70(x))
Eq(F_54(x), F_22(x) + F_55(x) + F_57(x))
Eq(F_55(x), F_12(x)*F_56(x))
Eq(F_56(x), F_54(x) + F_6(x))
Eq(F_57(x), F_12(x)*F_58(x))
Eq(F_58(x), F_17(x) + F_59(x))
Eq(F_59(x), F_60(x) + F_63(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_12(x)*F_62(x))
Eq(F_62(x), F_14(x) + F_60(x))
Eq(F_63(x), 2*F_22(x) + F_64(x) + F_69(x))
Eq(F_64(x), F_12(x)*F_65(x))
Eq(F_65(x), F_51(x) + F_66(x))
Eq(F_66(x), 2*F_22(x) + F_64(x) + F_67(x))
Eq(F_67(x), F_12(x)*F_68(x))
Eq(F_68(x), F_60(x) + F_66(x))
Eq(F_69(x), F_12(x)*F_59(x))
Eq(F_70(x), 2*F_22(x) + F_71(x) + F_73(x))
Eq(F_71(x), F_12(x)*F_72(x))
Eq(F_72(x), F_47(x) + F_70(x))
Eq(F_73(x), F_12(x)*F_74(x))
Eq(F_74(x), F_68(x))
Eq(F_75(x), F_12(x)*F_76(x))
Eq(F_76(x), F_77(x) + F_87(x))
Eq(F_77(x), F_33(x) + F_78(x))
Eq(F_78(x), F_22(x) + F_79(x) + F_86(x))
Eq(F_79(x), F_12(x)*F_80(x))
Eq(F_80(x), F_81(x) + F_82(x))
Eq(F_81(x), F_10(x) + F_51(x))
Eq(F_82(x), F_21(x) + F_83(x))
Eq(F_83(x), 2*F_22(x) + F_67(x) + F_84(x))
Eq(F_84(x), F_12(x)*F_85(x))
Eq(F_85(x), F_51(x) + F_83(x))
Eq(F_86(x), F_12(x)*F_77(x))
Eq(F_87(x), F_88(x) + F_93(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_12(x)*F_90(x))
Eq(F_90(x), F_91(x) + F_92(x))
Eq(F_91(x), F_14(x))
Eq(F_92(x), F_60(x))
Eq(F_93(x), 2*F_22(x) + F_94(x) + F_98(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_51(x))
Eq(F_97(x), F_66(x))
Eq(F_98(x), F_12(x)*F_87(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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