0132_0213_0231_1230_2130
Counting sequence:
1, 1, 2, 6, 19, 58, 165, 440, 1119, 2758, 6669, 15956, 37983, 90266, 214565, 510640, 1217215, 2906382, 6950813, 16647468, 39921983, 95840674, 230297973, 553821384, 1332704991, 3208753750, 7729250221, 18625321604, 44896019103, 108249600810, 261059691077, 629697910624, 1519113353087, 3665240282142, 8844225230141, 21342953348188, 51508657116287, 124317317936434, 300057393674389, 724260306627192, 1748234409581727, 4220041931062886, 10186943882215501, 24591180916470452, 59363808157066975, 143307802114379706, 345957422153327717, 835178665955984912, 2016226793135140415, 4867456330365890862, 11750787610146107613, 28368327863216407948, 68486035961695453631, 165337585036840297154, 399155576535841928629, 963637479109455827496, 2326408016756616836191, 5616408476626415905910, 13559134898016901355245, 32734498128675123920100, 79027770867396959685919, 190789319287528664149578, 460604968290573529570437, 1111996373564914206324416, 2684591950812878908143359, 6481168745975625954308158, 15646906384334038679995005, 37774935397783519040602300, 91196684946180708213633279, 220168120822704198372553298, 531532557656707630767917269, 1283232498266356511526542296, 3097996078449894757057101343, 7479221703687094232112725126, 18056433582865979634226283405, 43592077063502846326452517140, 105240564098039257938905519455, 254073158035916533507811700442, 613386785722542667561624939173, 1480846540586342553845253335408, 3575079489105909145680514830783, 8631004763219523586063049134414, 20837087504387681799520145058333, 50305176749680338148530402840044, 121447434959119260023435077575231, 293200034578660662049108811310050, 707847479937924191829069206467061, 1708894946097476261122080236406664, 4125637275418811144902895703210463, 9960169303506967412587203690278550, 24045975495576483693395967178245677, 58052119520947410246016466235287364, 140150212990046255078703556025401247, 338352542406189822189972891038781802, 816855291612725703031747963607862981, 1972063113252240835399666069263801888, 4760981493358406588123474604153536127, 11494026050451452440231404281606476894, 27749033495226108325755861175437141949, 66992092842833262806082282648621493532, 161733218784751821366598738504961004927
Generating function in Maple syntax:
(x^8-x^7-7*x^6+3*x^5+10*x^4-23*x^3+19*x^2-7*x+1)/(2*x-1)/(x^2+2*x-1)/(x-1)^4
Generating function in latex syntax:
\frac{x^{8}-x^{7}-7 x^{6}+3 x^{5}+10 x^{4}-23 x^{3}+19 x^{2}-7 x +1}{\left(2 x -1\right) \left(x^{2}+2 x -1\right) \left(x -1\right)^{4}}
Generating function in sympy syntax:
(x**8 - x**7 - 7*x**6 + 3*x**5 + 10*x**4 - 23*x**3 + 19*x**2 - 7*x + 1)/((x - 1)**4*(2*x - 1)*(x**2 + 2*x - 1))
Implicit equation for the generating function in Maple syntax:
-(2*x-1)*(x^2+2*x-1)*(x-1)^4*F(x)+x^8-x^7-7*x^6+3*x^5+10*x^4-23*x^3+19*x^2-7*x+1 = 0
Implicit equation for the generating function in latex syntax:
-\left(2 x -1\right) \left(x^{2}+2 x -1\right) \left(x -1\right)^{4} F \! \left(x \right)+x^{8}-x^{7}-7 x^{6}+3 x^{5}+10 x^{4}-23 x^{3}+19 x^{2}-7 x +1 = 0
Explicit closed form in Maple syntax:
piecewise(Or(n = 0,n = 1),1,1/12*(-3*2^(1/2)+6)*(-1-2^(1/2))^(-n)+1/12*(3*2^(1/2)+6)*(2^(1/2)-1)^(-n)-1/3*n^3-5/3*n+5/4*2^n-2)
Explicit closed form in latex syntax:
\left\{\begin{array}{cc}1 & n =0\text{ or } n =1 \\ \frac{\left(-3 \sqrt{2}+6\right) \left(-1-\sqrt{2}\right)^{-n}}{12}+\frac{\left(3 \sqrt{2}+6\right) \left(\sqrt{2}-1\right)^{-n}}{12}-\frac{n^{3}}{3}-\frac{5 n}{3}+\\\frac{5 \,2^{n}}{4}-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) = 19
a(5) = 58
a(6) = 165
a(7) = 440
a(8) = 1119
a(n+3) = -2*a(n)-3*a(n+1)+4*a(n+2)-2/3*n*(n^2-3*n-1), 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) = 58
a \! \left(6\right) = 165
a \! \left(7\right) = 440
a \! \left(8\right) = 1119
a \! \left(n +3\right) = -2 a \! \left(n \right)-3 a \! \left(n +1\right)+4 a \! \left(n +2\right)-\frac{2 n \left(n^{2}-3 n -1\right)}{3}, \quad n \geq 9
Specification 1
Strategy pack name: point_placements
Tree: http://permpal.com/tree/18167/
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[19,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[17,x]
F[14,x] = F[15,x]
F[15,x] = F[12,x]*F[16,x]
F[16,x] = F[1,x]+F[14,x]
F[17,x] = F[18,x]
F[18,x] = F[12,x]*F[13,x]
F[19,x] = F[20,x]+F[26,x]
F[20,x] = F[21,x]
F[21,x] = F[12,x]*F[22,x]
F[22,x] = F[16,x]+F[23,x]
F[23,x] = F[20,x]+F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[12,x]*F[23,x]
F[26,x] = F[27,x]+F[28,x]+F[66,x]
F[27,x] = 0
F[28,x] = F[12,x]*F[29,x]
F[29,x] = F[30,x]+F[42,x]
F[30,x] = F[31,x]+F[6,x]
F[31,x] = F[27,x]+F[32,x]+F[34,x]
F[32,x] = F[12,x]*F[33,x]
F[33,x] = F[10,x]+F[17,x]
F[34,x] = F[12,x]*F[35,x]
F[35,x] = F[13,x]+F[36,x]
F[36,x] = F[37,x]+F[40,x]
F[37,x] = F[38,x]
F[38,x] = F[12,x]*F[39,x]
F[39,x] = F[14,x]+F[37,x]
F[40,x] = F[41,x]
F[41,x] = F[12,x]*F[36,x]
F[42,x] = F[26,x]+F[43,x]
F[43,x] = 2*F[27,x]+F[44,x]+F[58,x]
F[44,x] = F[12,x]*F[45,x]
F[45,x] = F[46,x]+F[55,x]
F[46,x] = F[27,x]+F[47,x]+F[56,x]
F[47,x] = F[12,x]*F[48,x]
F[48,x] = F[49,x]+F[51,x]
F[49,x] = F[10,x]+F[50,x]
F[50,x] = F[18,x]+F[27,x]+F[32,x]
F[51,x] = F[46,x]+F[52,x]
F[52,x] = 2*F[27,x]+F[44,x]+F[53,x]
F[53,x] = F[12,x]*F[54,x]
F[54,x] = F[24,x]+F[55,x]
F[55,x] = F[53,x]
F[56,x] = F[12,x]*F[57,x]
F[57,x] = F[20,x]+F[46,x]
F[58,x] = F[12,x]*F[59,x]
F[59,x] = F[54,x]+F[60,x]
F[60,x] = F[61,x]+F[64,x]
F[61,x] = F[62,x]
F[62,x] = F[12,x]*F[63,x]
F[63,x] = F[24,x]+F[61,x]
F[64,x] = F[65,x]
F[65,x] = F[12,x]*F[60,x]
F[66,x] = F[12,x]*F[67,x]
F[67,x] = F[57,x]+F[68,x]
F[68,x] = F[69,x]+F[79,x]
F[69,x] = F[27,x]+F[70,x]+F[77,x]
F[70,x] = F[12,x]*F[71,x]
F[71,x] = F[72,x]+F[73,x]
F[72,x] = F[14,x]+F[37,x]
F[73,x] = F[24,x]+F[74,x]
F[74,x] = F[75,x]
F[75,x] = F[12,x]*F[76,x]
F[76,x] = F[24,x]+F[74,x]
F[77,x] = F[12,x]*F[78,x]
F[78,x] = F[20,x]+F[69,x]
F[79,x] = 2*F[27,x]+F[80,x]+F[89,x]
F[80,x] = F[12,x]*F[81,x]
F[81,x] = F[82,x]+F[84,x]
F[82,x] = F[17,x]+F[83,x]
F[83,x] = F[41,x]
F[84,x] = F[55,x]+F[85,x]
F[85,x] = F[86,x]
F[86,x] = F[12,x]*F[87,x]
F[87,x] = F[74,x]+F[88,x]
F[88,x] = F[86,x]
F[89,x] = F[12,x]*F[68,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_{19}\! \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_{17}\! \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_{1}\! \left(x \right)+F_{14}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{26}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{12}\! \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_{20}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{12}\! \left(x \right) F_{23}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{28}\! \left(x \right)+F_{66}\! \left(x \right)
F_{27}\! \left(x \right) = 0
F_{28}\! \left(x \right) = F_{12}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{42}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{6}\! \left(x \right)
F_{31}\! \left(x \right) = F_{27}\! \left(x \right)+F_{32}\! \left(x \right)+F_{34}\! \left(x \right)
F_{32}\! \left(x \right) = F_{12}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{10}\! \left(x \right)+F_{17}\! \left(x \right)
F_{34}\! \left(x \right) = F_{12}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{13}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{40}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{12}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{14}\! \left(x \right)+F_{37}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{12}\! \left(x \right) F_{36}\! \left(x \right)
F_{42}\! \left(x \right) = F_{26}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = 2 F_{27}\! \left(x \right)+F_{44}\! \left(x \right)+F_{58}\! \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_{55}\! \left(x \right)
F_{46}\! \left(x \right) = F_{27}\! \left(x \right)+F_{47}\! \left(x \right)+F_{56}\! \left(x \right)
F_{47}\! \left(x \right) = F_{12}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)+F_{51}\! \left(x \right)
F_{49}\! \left(x \right) = F_{10}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{18}\! \left(x \right)+F_{27}\! \left(x \right)+F_{32}\! \left(x \right)
F_{51}\! \left(x \right) = F_{46}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = 2 F_{27}\! \left(x \right)+F_{44}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{12}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{24}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{53}\! \left(x \right)
F_{56}\! \left(x \right) = F_{12}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{20}\! \left(x \right)+F_{46}\! \left(x \right)
F_{58}\! \left(x \right) = F_{12}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{54}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{64}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{12}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{24}\! \left(x \right)+F_{61}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{12}\! \left(x \right) F_{60}\! \left(x \right)
F_{66}\! \left(x \right) = F_{12}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{57}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{79}\! \left(x \right)
F_{69}\! \left(x \right) = F_{27}\! \left(x \right)+F_{70}\! \left(x \right)+F_{77}\! \left(x \right)
F_{70}\! \left(x \right) = F_{12}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{73}\! \left(x \right)
F_{72}\! \left(x \right) = F_{14}\! \left(x \right)+F_{37}\! \left(x \right)
F_{73}\! \left(x \right) = F_{24}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{12}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{24}\! \left(x \right)+F_{74}\! \left(x \right)
F_{77}\! \left(x \right) = F_{12}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{20}\! \left(x \right)+F_{69}\! \left(x \right)
F_{79}\! \left(x \right) = 2 F_{27}\! \left(x \right)+F_{80}\! \left(x \right)+F_{89}\! \left(x \right)
F_{80}\! \left(x \right) = F_{12}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{84}\! \left(x \right)
F_{82}\! \left(x \right) = F_{17}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{41}\! \left(x \right)
F_{84}\! \left(x \right) = F_{55}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{12}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{74}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{86}\! \left(x \right)
F_{89}\! \left(x \right) = F_{12}\! \left(x \right) F_{68}\! \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_19(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_17(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_12(x)*F_16(x))
Eq(F_16(x), F_1(x) + F_14(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_12(x)*F_13(x))
Eq(F_19(x), F_20(x) + F_26(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_12(x)*F_22(x))
Eq(F_22(x), F_16(x) + F_23(x))
Eq(F_23(x), F_20(x) + F_24(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_12(x)*F_23(x))
Eq(F_26(x), F_27(x) + F_28(x) + F_66(x))
Eq(F_27(x), 0)
Eq(F_28(x), F_12(x)*F_29(x))
Eq(F_29(x), F_30(x) + F_42(x))
Eq(F_30(x), F_31(x) + F_6(x))
Eq(F_31(x), F_27(x) + F_32(x) + F_34(x))
Eq(F_32(x), F_12(x)*F_33(x))
Eq(F_33(x), F_10(x) + F_17(x))
Eq(F_34(x), F_12(x)*F_35(x))
Eq(F_35(x), F_13(x) + F_36(x))
Eq(F_36(x), F_37(x) + F_40(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_12(x)*F_39(x))
Eq(F_39(x), F_14(x) + F_37(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_12(x)*F_36(x))
Eq(F_42(x), F_26(x) + F_43(x))
Eq(F_43(x), 2*F_27(x) + F_44(x) + F_58(x))
Eq(F_44(x), F_12(x)*F_45(x))
Eq(F_45(x), F_46(x) + F_55(x))
Eq(F_46(x), F_27(x) + F_47(x) + F_56(x))
Eq(F_47(x), F_12(x)*F_48(x))
Eq(F_48(x), F_49(x) + F_51(x))
Eq(F_49(x), F_10(x) + F_50(x))
Eq(F_50(x), F_18(x) + F_27(x) + F_32(x))
Eq(F_51(x), F_46(x) + F_52(x))
Eq(F_52(x), 2*F_27(x) + F_44(x) + F_53(x))
Eq(F_53(x), F_12(x)*F_54(x))
Eq(F_54(x), F_24(x) + F_55(x))
Eq(F_55(x), F_53(x))
Eq(F_56(x), F_12(x)*F_57(x))
Eq(F_57(x), F_20(x) + F_46(x))
Eq(F_58(x), F_12(x)*F_59(x))
Eq(F_59(x), F_54(x) + F_60(x))
Eq(F_60(x), F_61(x) + F_64(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_12(x)*F_63(x))
Eq(F_63(x), F_24(x) + F_61(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_12(x)*F_60(x))
Eq(F_66(x), F_12(x)*F_67(x))
Eq(F_67(x), F_57(x) + F_68(x))
Eq(F_68(x), F_69(x) + F_79(x))
Eq(F_69(x), F_27(x) + F_70(x) + F_77(x))
Eq(F_70(x), F_12(x)*F_71(x))
Eq(F_71(x), F_72(x) + F_73(x))
Eq(F_72(x), F_14(x) + F_37(x))
Eq(F_73(x), F_24(x) + F_74(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_12(x)*F_76(x))
Eq(F_76(x), F_24(x) + F_74(x))
Eq(F_77(x), F_12(x)*F_78(x))
Eq(F_78(x), F_20(x) + F_69(x))
Eq(F_79(x), 2*F_27(x) + F_80(x) + F_89(x))
Eq(F_80(x), F_12(x)*F_81(x))
Eq(F_81(x), F_82(x) + F_84(x))
Eq(F_82(x), F_17(x) + F_83(x))
Eq(F_83(x), F_41(x))
Eq(F_84(x), F_55(x) + F_85(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_12(x)*F_87(x))
Eq(F_87(x), F_74(x) + F_88(x))
Eq(F_88(x), F_86(x))
Eq(F_89(x), F_12(x)*F_68(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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