01324_01342_01432_03124_03142_03214_30124_30142_30214
Counting sequence:
1, 1, 2, 6, 24, 111, 546, 2769, 14342, 75607, 404702, 2194468, 12029226, 66544651, 370995194, 2082301072, 11756332950, 66719528068, 380396416182, 2177765829492, 12514051926904, 72151161172205, 417267990961124, 2419905429799560, 14069962667279478, 81999359793483122, 478930928520206104, 2802920830258643625, 16434721708983914152, 96532134071038853885, 567923038955230341774, 3346338859086280935029, 19745686602920530571912, 116670002659594896951445, 690234786430189253302136, 4088406451710654984054178, 24243893516198520145542260, 143918141820770684743805923, 855203436480759463636839814, 5086765797761629420880943529, 30283900552408620163054027570, 180451499769249233290435809937, 1076143050162367393983047793568, 6422790848018415849640428725653, 38362453906320177610442405032192, 229299646531103429257117330495832, 1371517362057699879635206304913678, 8208948276443070789666245189279645, 49164334252182036185413719298720044, 294630774720796167751734424003758679, 1766692169534586466106606213755573156, 10599579381235259908705867415452699076, 63628553999067151127832979053259222242, 382157489143124287082579315205949631104, 2296419905253656666237336814852911026428, 13806099294858013655988280745401405109185, 83041276460872361916569162400472641126710, 499704583156988736116132286802918180308951, 3008307741942430704248645857857361315645932, 18118175338837715153228223475796155770801871, 109165119196830346658563109139700109445006110, 657998388979383988793938379330841955281912385, 3967635868484981182101092210583140434263956540, 23933136716285727587053936328212355123512162679, 144418659569020867223703938819433662773650824714, 871762405545557915204970085112195155716093581101, 5264044825739559840309738308871709897664127726508, 31796792696208059733359965818417262780825049169843, 192125589442484067817426470971269050794620374918648, 1161238205825172888312374193596354603645931250364274, 7020819981154219948789956103525386130105760133968502, 42460113273280348913771486234863222099669210335797899, 256860763730562009045762093074619823220752081681713670, 1554298268691131470151021908812226765415013940154013773, 9407792414939965272892606905735057963517314975324033906, 56958006544919978062097746142658903526303856892097982264, 344931273794302310075752174560432074343740762552615807930, 2089383962446425979656222247358748185952675168779945066805, 12659282775656089245758345431183944749239719549164422495166, 76718918743720647126372426946363656375410379091012359651604, 465045922100666877630383333471673324941118096652686618854126, 2819595194568910056320514791795920901787735475383254571762774, 17099085541934503008776906808693819602533062433203215542440224, 103717476656569769756600764393214544215447209355645653310946051, 629247858106246491507475104565879970288588238789298317407105770, 3818389127341499730621766186249060841646113935802172258744935022, 23175292299413278937234172020325478500593451528781986002625521742, 140687296560218080577266897903045922689967121025950504227089517678, 854215159326836777812596567593484347760320865558043007431096050584, 5187529170729646822654641273051933604937550836292959165668238098448, 31508878021452399680717054263261255975554333697710489166432263518766, 191417974218349029323055758629828458154539317223023075524767453016389, 1163076331772306992699938336538206324185865212797790801203764741429918, 7068183807454705852054334882760032897585540121756615648886104271128649, 42961556328469487999289882892366901300219494175030477950239424090805904, 261169958314987818695502120419840610436879285840931863647414333203352989, 1587947033161155335048498504302738257559159867041460510503632294307713022, 9656438158566647652167858343207306754770328359762596980620965872221116971, 58730635097871781443740393186734848916862018386639427988489294335729208814, 357254639941152615538544548881267004136196289254931328065596252130600121788, 2173477808989569313047561290082701978837933376650873103205142630774928856564
Specification 1
Strategy pack name: row_placements_tracked_fusion
Tree: http://www.permpal.com/tree/24188/
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[7,x]
F[3,x] = F[4,x,1]
F[4,x,k[0]] = F[1,x]+F[5,x,k[0]]+F[8,x,k[0]]
F[5,x,k[0]] = F[6,x,k[0]]*F[7,x]
F[6,x,k[0]] = 1/(-1+k[0])*(F[4,x,k[0]]*k[0]-F[4,x,1])
F[7,x] = x
F[8,x,k[0]] = F[21,x,k[0]]*F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,1,k[0]]
F[10,x,k[0],k[1]] = F[11,x,k[0]*k[1],k[1]]
F[11,x,k[0],k[1]] = F[1,x]+F[12,x,k[0],k[1]]+F[27,x,k[0],k[1]]+F[58,x,k[0],k[1]]
F[12,x,k[0],k[1]] = F[13,x,k[0],k[1]]*F[7,x]
F[13,x,k[0],k[1]] = F[14,x,1,k[0],k[1]]
F[14,x,k[0],k[1],k[2]] = F[1,x]+F[15,x,k[0],k[1],k[2]]+F[17,x,k[0],k[1],k[2]]+F[22,x,k[0],k[1],k[2]]+F[55,x,k[0],k[1],k[2]]
F[15,x,k[0],k[1],k[2]] = F[16,x,k[0],k[1],k[2]]*F[7,x]
F[16,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[14,x,k[0],k[1],k[2]]*k[0]-F[14,x,1,k[1],k[2]])
F[17,x,k[0],k[1],k[2]] = F[18,x,k[0],k[1],k[2]]*F[21,x,k[0]]
F[18,x,k[0],k[1],k[2]] = (F[19,x,k[0],k[1]]*k[1]-F[19,x,k[0],k[2]]*k[2])/(-k[2]+k[1])
F[19,x,k[0],k[1]] = (F[20,x,k[0],1]*k[0]-F[20,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[20,x,k[0],k[1]] = F[11,x,k[0],k[0]*k[1]]
F[21,x,k[0]] = k[0]*x
F[22,x,k[0],k[1],k[2]] = F[21,x,k[1]]*F[23,x,k[0],k[1],k[2]]
F[23,x,k[0],k[1],k[2]] = (-F[24,x,1,k[1],k[2]]*k[1]+F[24,x,k[0]/k[1],k[1],k[2]]*k[0])/(-k[1]+k[0])
F[24,x,k[0],k[1],k[2]] = F[1,x]+F[25,x,k[0],k[1]]+F[26,x,k[0],k[1]]+F[29,x,k[0],k[1],k[2]]+F[53,x,k[0],k[1],k[2]]
F[25,x,k[0],k[1]] = F[12,x,k[0]*k[1],k[1]]
F[26,x,k[0],k[1]] = F[27,x,k[0]*k[1],k[1]]
F[27,x,k[0],k[1]] = F[21,x,k[0]]*F[28,x,k[0],k[1]]
F[28,x,k[0],k[1]] = F[24,x,1,k[0],k[1]]
F[29,x,k[0],k[1],k[2]] = F[30,x,k[0],k[1],k[2]]
F[30,x,k[0],k[1],k[2]] = F[21,x,k[1]]*F[31,x,k[1],k[2]]*F[4,x,k[1]]
F[32,x,k[0],k[1]] = F[21,x,k[0]]*F[3,x]*F[31,x,k[0],k[1]]
F[32,x,k[0],k[1]] = F[33,x,k[0],k[1]]
F[34,x,k[0],k[1]] = F[1,x]+F[33,x,k[0],k[1]]+F[36,x,k[0],k[1]]+F[39,x,k[0],k[1]]+F[42,x,k[0],k[1]]
F[34,x,k[0],k[1]] = (F[35,x,k[0]]*k[0]-F[35,x,k[1]]*k[1])/(-k[1]+k[0])
F[35,x,k[0]] = F[11,x,1,k[0]]
F[36,x,k[0],k[1]] = F[37,x,k[0],k[1]]*F[7,x]
F[37,x,k[0],k[1]] = (F[38,x,k[0]]*k[0]-F[38,x,k[1]]*k[1])/(-k[1]+k[0])
F[38,x,k[0]] = F[13,x,1,k[0]]
F[39,x,k[0],k[1]] = F[40,x,k[0],k[1]]*F[7,x]
F[40,x,k[0],k[1]] = (F[41,x,k[0]]*k[0]-F[41,x,k[1]]*k[1])/(-k[1]+k[0])
F[41,x,k[0]] = F[28,x,1,k[0]]
F[42,x,k[0],k[1]] = F[43,x,k[0],k[1]]
F[43,x,k[0],k[1]] = F[21,x,k[1]]*F[3,x]*F[44,x,k[0],k[1]]
F[44,x,k[0],k[1]] = F[45,x,k[1]]+F[52,x,k[0],k[1]]
F[45,x,k[0]] = F[46,x,k[0]]+F[51,x,k[0]]
F[46,x,k[0]] = F[1,x]+F[47,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]
F[48,x,k[0]] = F[49,x,k[0]]^2*F[21,x,k[0]]
F[49,x,k[0]] = F[1,x]+F[50,x,k[0]]
F[50,x,k[0]] = F[21,x,k[0]]*F[49,x,k[0]]
F[51,x,k[0]] = F[21,x,k[0]]*F[49,x,k[0]]
F[52,x,k[0],k[1]] = F[21,x,k[0]]*F[49,x,k[1]]
F[53,x,k[0],k[1],k[2]] = F[54,x,k[0],k[1],k[2]]
F[54,x,k[0],k[1],k[2]] = F[21,x,k[2]]*F[4,x,k[1]]*F[44,x,k[1],k[2]]
F[55,x,k[0],k[1],k[2]] = F[56,x,k[0],k[1],k[2]]
F[56,x,k[0],k[1],k[2]] = F[21,x,k[2]]*F[45,x,k[2]]*F[57,x,k[0],k[1]]
F[57,x,k[0],k[1]] = (F[4,x,k[0]]*k[0]-F[4,x,k[1]]*k[1])/(-k[1]+k[0])
F[58,x,k[0],k[1]] = F[59,x,k[0],k[1]]
F[59,x,k[0],k[1]] = F[21,x,k[1]]*F[4,x,k[0]]*F[45,x,k[1]]
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_{7}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x , 1\right)
F_{4}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{5}\! \left(x , y_{0}\right)+F_{8}\! \left(x , y_{0}\right)
F_{5}\! \left(x , y_{0}\right) = F_{6}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{6}\! \left(x , y_{0}\right) = \frac{y_{0} F_{4}\! \left(x , y_{0}\right)-F_{4}\! \left(x , 1\right)}{-1+y_{0}}
F_{7}\! \left(x \right) = x
F_{8}\! \left(x , y_{0}\right) = F_{21}\! \left(x , y_{0}\right) F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = F_{10}\! \left(x , 1, y_{0}\right)
F_{10}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{11}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{12}\! \left(x , y_{0}, y_{1}\right)+F_{27}\! \left(x , y_{0}, y_{1}\right)+F_{58}\! \left(x , y_{0}, y_{1}\right)
F_{12}\! \left(x , y_{0}, y_{1}\right) = F_{13}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{13}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , 1, y_{0}, y_{1}\right)
F_{14}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{1}\! \left(x \right)+F_{15}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{17}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{55}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{15}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{16}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{7}\! \left(x \right)
F_{16}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{0} F_{14}\! \left(x , y_{0}, y_{1}, y_{2}\right)-F_{14}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{17}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{18}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{21}\! \left(x , y_{0}\right)
F_{18}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{1} F_{19}\! \left(x , y_{0}, y_{1}\right)-y_{2} F_{19}\! \left(x , y_{0}, y_{2}\right)}{-y_{2}+y_{1}}
F_{19}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{0} F_{20}\! \left(x , y_{0}, 1\right)-y_{1} F_{20}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right)}{-y_{1}+y_{0}}
F_{20}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{21}\! \left(x , y_{0}\right) = y_{0} x
F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{1}\right) F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{-y_{1} F_{24}\! \left(x , 1, y_{1}, y_{2}\right)+y_{0} F_{24}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}\right)}{-y_{1}+y_{0}}
F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{1}\! \left(x \right)+F_{25}\! \left(x , y_{0}, y_{1}\right)+F_{26}\! \left(x , y_{0}, y_{1}\right)+F_{29}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{53}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{25}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{26}\! \left(x , y_{0}, y_{1}\right) = F_{27}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{27}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}, y_{1}\right)
F_{28}\! \left(x , y_{0}, y_{1}\right) = F_{24}\! \left(x , 1, y_{0}, y_{1}\right)
F_{29}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{1}\right) F_{31}\! \left(x , y_{1}, y_{2}\right) F_{4}\! \left(x , y_{1}\right)
F_{32}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{0}\right) F_{3}\! \left(x \right) F_{31}\! \left(x , y_{0}, y_{1}\right)
F_{32}\! \left(x , y_{0}, y_{1}\right) = F_{33}\! \left(x , y_{0}, y_{1}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{33}\! \left(x , y_{0}, y_{1}\right)+F_{36}\! \left(x , y_{0}, y_{1}\right)+F_{39}\! \left(x , y_{0}, y_{1}\right)+F_{42}\! \left(x , y_{0}, y_{1}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{0} F_{35}\! \left(x , y_{0}\right)-y_{1} F_{35}\! \left(x , y_{1}\right)}{-y_{1}+y_{0}}
F_{35}\! \left(x , y_{0}\right) = F_{11}\! \left(x , 1, y_{0}\right)
F_{36}\! \left(x , y_{0}, y_{1}\right) = F_{37}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{37}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{0} F_{38}\! \left(x , y_{0}\right)-y_{1} F_{38}\! \left(x , y_{1}\right)}{-y_{1}+y_{0}}
F_{38}\! \left(x , y_{0}\right) = F_{13}\! \left(x , 1, y_{0}\right)
F_{39}\! \left(x , y_{0}, y_{1}\right) = F_{40}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{40}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{0} F_{41}\! \left(x , y_{0}\right)-y_{1} F_{41}\! \left(x , y_{1}\right)}{-y_{1}+y_{0}}
F_{41}\! \left(x , y_{0}\right) = F_{28}\! \left(x , 1, y_{0}\right)
F_{42}\! \left(x , y_{0}, y_{1}\right) = F_{43}\! \left(x , y_{0}, y_{1}\right)
F_{43}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{1}\right) F_{3}\! \left(x \right) F_{44}\! \left(x , y_{0}, y_{1}\right)
F_{44}\! \left(x , y_{0}, y_{1}\right) = F_{45}\! \left(x , y_{1}\right)+F_{52}\! \left(x , y_{0}, y_{1}\right)
F_{45}\! \left(x , y_{0}\right) = F_{46}\! \left(x , y_{0}\right)+F_{51}\! \left(x , y_{0}\right)
F_{46}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{47}\! \left(x , y_{0}\right)
F_{47}\! \left(x , y_{0}\right) = F_{48}\! \left(x , y_{0}\right)
F_{48}\! \left(x , y_{0}\right) = F_{49}\! \left(x , y_{0}\right)^{2} F_{21}\! \left(x , y_{0}\right)
F_{49}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{50}\! \left(x , y_{0}\right)
F_{50}\! \left(x , y_{0}\right) = F_{21}\! \left(x , y_{0}\right) F_{49}\! \left(x , y_{0}\right)
F_{51}\! \left(x , y_{0}\right) = F_{21}\! \left(x , y_{0}\right) F_{49}\! \left(x , y_{0}\right)
F_{52}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{0}\right) F_{49}\! \left(x , y_{1}\right)
F_{53}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{54}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{54}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{2}\right) F_{4}\! \left(x , y_{1}\right) F_{44}\! \left(x , y_{1}, y_{2}\right)
F_{55}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{56}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{56}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{2}\right) F_{45}\! \left(x , y_{2}\right) F_{57}\! \left(x , y_{0}, y_{1}\right)
F_{57}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{0} F_{4}\! \left(x , y_{0}\right)-y_{1} F_{4}\! \left(x , y_{1}\right)}{-y_{1}+y_{0}}
F_{58}\! \left(x , y_{0}, y_{1}\right) = F_{59}\! \left(x , y_{0}, y_{1}\right)
F_{59}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{1}\right) F_{4}\! \left(x , y_{0}\right) F_{45}\! \left(x , y_{1}\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)*F_7(x))
Eq(F_3(x), F_4(x, 1))
Eq(F_4(x, k_0), F_1(x) + F_5(x, k_0) + F_8(x, k_0))
Eq(F_5(x, k_0), F_6(x, k_0)*F_7(x))
Eq(F_6(x, k_0), (k_0*F_4(x, k_0) - F_4(x, 1))/(k_0 - 1))
Eq(F_7(x), x)
Eq(F_8(x, k_0), F_21(x, k_0)*F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, 1, k_0))
Eq(F_10(x, k_0, k_1), F_11(x, k_0*k_1, k_1))
Eq(F_11(x, k_0, k_1), F_1(x) + F_12(x, k_0, k_1) + F_27(x, k_0, k_1) + F_58(x, k_0, k_1))
Eq(F_12(x, k_0, k_1), F_13(x, k_0, k_1)*F_7(x))
Eq(F_13(x, k_0, k_1), F_14(x, 1, k_0, k_1))
Eq(F_14(x, k_0, k_1, k_2), F_1(x) + F_15(x, k_0, k_1, k_2) + F_17(x, k_0, k_1, k_2) + F_22(x, k_0, k_1, k_2) + F_55(x, k_0, k_1, k_2))
Eq(F_15(x, k_0, k_1, k_2), F_16(x, k_0, k_1, k_2)*F_7(x))
Eq(F_16(x, k_0, k_1, k_2), (k_0*F_14(x, k_0, k_1, k_2) - F_14(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_17(x, k_0, k_1, k_2), F_18(x, k_0, k_1, k_2)*F_21(x, k_0))
Eq(F_18(x, k_0, k_1, k_2), (-k_1*F_19(x, k_0, k_1) + k_2*F_19(x, k_0, k_2))/(-k_1 + k_2))
Eq(F_19(x, k_0, k_1), (-k_0*F_20(x, k_0, 1) + k_1*F_20(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_20(x, k_0, k_1), F_11(x, k_0, k_0*k_1))
Eq(F_21(x, k_0), k_0*x)
Eq(F_22(x, k_0, k_1, k_2), F_21(x, k_1)*F_23(x, k_0, k_1, k_2))
Eq(F_23(x, k_0, k_1, k_2), (-k_0*F_24(x, k_0/k_1, k_1, k_2) + k_1*F_24(x, 1, k_1, k_2))/(-k_0 + k_1))
Eq(F_24(x, k_0, k_1, k_2), F_1(x) + F_25(x, k_0, k_1) + F_26(x, k_0, k_1) + F_29(x, k_0, k_1, k_2) + F_53(x, k_0, k_1, k_2))
Eq(F_25(x, k_0, k_1), F_12(x, k_0*k_1, k_1))
Eq(F_26(x, k_0, k_1), F_27(x, k_0*k_1, k_1))
Eq(F_27(x, k_0, k_1), F_21(x, k_0)*F_28(x, k_0, k_1))
Eq(F_28(x, k_0, k_1), F_24(x, 1, k_0, k_1))
Eq(F_29(x, k_0, k_1, k_2), F_30(x, k_0, k_1, k_2))
Eq(F_30(x, k_0, k_1, k_2), F_21(x, k_1)*F_31(x, k_1, k_2)*F_4(x, k_1))
Eq(F_32(x, k_0, k_1), F_21(x, k_0)*F_3(x)*F_31(x, k_0, k_1))
Eq(F_32(x, k_0, k_1), F_33(x, k_0, k_1))
Eq(F_34(x, k_0, k_1), F_1(x) + F_33(x, k_0, k_1) + F_36(x, k_0, k_1) + F_39(x, k_0, k_1) + F_42(x, k_0, k_1))
Eq(F_34(x, k_0, k_1), (-k_0*F_35(x, k_0) + k_1*F_35(x, k_1))/(-k_0 + k_1))
Eq(F_35(x, k_0), F_11(x, 1, k_0))
Eq(F_36(x, k_0, k_1), F_37(x, k_0, k_1)*F_7(x))
Eq(F_37(x, k_0, k_1), (-k_0*F_38(x, k_0) + k_1*F_38(x, k_1))/(-k_0 + k_1))
Eq(F_38(x, k_0), F_13(x, 1, k_0))
Eq(F_39(x, k_0, k_1), F_40(x, k_0, k_1)*F_7(x))
Eq(F_40(x, k_0, k_1), (-k_0*F_41(x, k_0) + k_1*F_41(x, k_1))/(-k_0 + k_1))
Eq(F_41(x, k_0), F_28(x, 1, k_0))
Eq(F_42(x, k_0, k_1), F_43(x, k_0, k_1))
Eq(F_43(x, k_0, k_1), F_21(x, k_1)*F_3(x)*F_44(x, k_0, k_1))
Eq(F_44(x, k_0, k_1), F_45(x, k_1) + F_52(x, k_0, k_1))
Eq(F_45(x, k_0), F_46(x, k_0) + F_51(x, k_0))
Eq(F_46(x, k_0), F_1(x) + F_47(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0))
Eq(F_48(x, k_0), F_21(x, k_0)*F_49(x, k_0)**2)
Eq(F_49(x, k_0), F_1(x) + F_50(x, k_0))
Eq(F_50(x, k_0), F_21(x, k_0)*F_49(x, k_0))
Eq(F_51(x, k_0), F_21(x, k_0)*F_49(x, k_0))
Eq(F_52(x, k_0, k_1), F_21(x, k_0)*F_49(x, k_1))
Eq(F_53(x, k_0, k_1, k_2), F_54(x, k_0, k_1, k_2))
Eq(F_54(x, k_0, k_1, k_2), F_21(x, k_2)*F_4(x, k_1)*F_44(x, k_1, k_2))
Eq(F_55(x, k_0, k_1, k_2), F_56(x, k_0, k_1, k_2))
Eq(F_56(x, k_0, k_1, k_2), F_21(x, k_2)*F_45(x, k_2)*F_57(x, k_0, k_1))
Eq(F_57(x, k_0, k_1), (-k_0*F_4(x, k_0) + k_1*F_4(x, k_1))/(-k_0 + k_1))
Eq(F_58(x, k_0, k_1), F_59(x, k_0, k_1))
Eq(F_59(x, k_0, k_1), F_21(x, k_1)*F_4(x, k_0)*F_45(x, k_1))
Pack JSON:
{"expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "dirs": [0, 1, 2, 3], "ignore_parent": false, "partial": false, "place_col": false, "place_row": true, "strategy_class": "RowAndColumnPlacementFactory"}]], "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.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "ignore_parent": true, "interleaving": null, "strategy_class": "FactorFactory", "tracked": false, "unions": false, "workable": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}], "iterative": false, "name": "row_placements_tracked_fusion", "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:
{"root": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "idx": 3, "original_rule": {"children": [{"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": []}, {"assumptions": [{"assumption": "TrackingAssumption", "class_module": "tilings.assumptions", "gps": [{"patt": [0], "pos": [[4, 1]]}]}, {"assumption": "TrackingAssumption", "class_module": "tilings.assumptions", "gps": [{"patt": [0], "pos": [[5, 1]]}]}], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0], "pos": [[5, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [3, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [3, 1], [5, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [4, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [4, 1], [5, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [5, 1], [5, 1]]}, {"patt": [1, 0, 2], "pos": [[2, 1], [3, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[2, 1], [3, 1], [5, 1]]}, {"patt": [1, 0, 2], "pos": [[2, 1], [4, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[2, 1], [4, 1], [5, 1]]}, {"patt": [1, 0, 2], "pos": [[2, 1], [5, 1], [5, 1]]}, {"patt": [1, 0, 2], "pos": [[3, 1], [3, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[3, 1], [3, 1], [5, 1]]}, {"patt": [1, 0, 2], "pos": [[3, 1], [4, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[3, 1], [4, 1], [5, 1]]}, {"patt": [1, 0, 2], "pos": [[3, 1], [5, 1], [5, 1]]}, {"patt": [1, 0, 2], "pos": [[4, 1], [4, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[4, 1], [4, 1], [5, 1]]}, {"patt": [1, 0, 2], "pos": [[4, 1], [5, 1], [5, 1]]}, {"patt": [1, 0, 2], "pos": [[5, 1], [5, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [4, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [4, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [5, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [4, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [4, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [5, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[3, 1], [4, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[3, 1], [4, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[3, 1], [5, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[4, 1], [4, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[4, 1], [4, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[4, 1], [5, 1], [5, 1]]}, {"patt": [1, 2, 0], "pos": [[5, 1], [5, 1], [5, 1]]}, {"patt": [2, 1, 0], "pos": [[4, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 0], "pos": [[4, 1], [4, 1], [5, 1]]}, {"patt": [2, 1, 0], "pos": [[4, 1], [5, 1], [5, 1]]}, {"patt": [2, 1, 0], "pos": [[5, 1], [5, 1], [5, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [4, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [5, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [4, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [5, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [3, 1], [4, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [3, 1], [5, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [3, 1], [3, 1], [4, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [3, 1], [3, 1], [5, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[3, 1], [3, 1], [3, 1], [4, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[3, 1], [3, 1], [3, 1], [5, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [4, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [5, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [3, 1], [4, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [3, 1], [5, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [4, 1], [4, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [4, 1], [5, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [5, 1], [5, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [3, 1], [3, 1], [4, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [3, 1], [3, 1], [5, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [3, 1], [4, 1], [4, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [3, 1], [4, 1], [5, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [3, 1], [5, 1], [5, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 1], [3, 1], [3, 1], [4, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 1], [3, 1], [3, 1], [5, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 1], [3, 1], [4, 1], [4, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 1], [3, 1], [4, 1], [5, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 1], [3, 1], [5, 1], [5, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [2, 1], [2, 1], [4, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [2, 1], [2, 1], [5, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [4, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[2, 1], [2, 1], 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