02314_02341_02431_03214_03241_20314_20341_20431_24031
Counting sequence:
1, 1, 2, 6, 24, 111, 547, 2771, 14216, 73379, 379912, 1969872, 10220717, 53042039, 275263768, 1428272276, 7409295085, 38426736275, 199240156262, 1032781278150, 5352198891902, 27730287476641, 143641942927229, 743908732234933, 3851910017689164, 19941463325013009, 103221052520319568, 534214233981597056, 2764417719622862990, 14303345800397773391, 73998291550114782381, 382789302378047997461, 1979956079589872009260, 10240290895557036568259, 52958176812209102547118, 273854897041854811158610, 1416045716966087343529024, 7321593659268252424674061, 37853641510689391548430261, 195697525974778721326295717, 1011673572309974210168669308, 5229672581960515404200867809, 27032680426317889565554460552, 139728696844473074841949724448, 722212924042642619368333541185, 3732752655377364084927356796993, 19292057621895481668894116709446, 99704384072733078825877170436250, 515272824170772838331242003905553, 2662860048559275579766358015174141, 13760947732708288004988766660416970, 71111193756169910433042893171790062, 367466609100736746726814589541941670, 1898841444944435894645361499918451047, 9811852374536921647933648868746224145, 50699692450723076902403628727742474345, 261970359984787355604522378855176800442, 1353605040104525864809050487097355600379, 6993992657127309171112205670463334724928, 36137007394056100254914068830966539219728, 186712491097442469759634839171986387696333, 964692908177975246101188901487329184490535, 4984248040832432483879926747077523598062748, 25751667679357502149259349498965884233440224, 133047434987326701681733822897755602730863997, 687390226050688098454863147769706556547321043, 3551371835595078493143140890430742659171137734, 18347847368145256620813851906693704525509288242, 94791738268291637161246001573325283313039056672, 489725203804933966475557745821651456351602888781, 2530062294691139828311089179564383162782502343537, 13070943657684543268878173132920134552985818135649, 67527365762761023015206670410407061919346335632368, 348859030087103620042867840839259718198532038580265, 1802260535905073101558205236835766297678137350338792, 9310709136660051831653931760962545483860488426214112, 48100064606286532797486987261095750952099965528258063, 248488558306271450598403606442946868596887026242286341, 1283704564849382888366222590300502246196303650516389696, 6631653650443516249935470249633870933654696086368770276, 34259163252475027946929025203423403218480322003232511255, 176982337959303331490544700043291132462676750832434481225, 914284709506484499358405887917777722606968826530581518242, 4723146581243079312336936600116706882538109206131617145626, 24399442925150974043595662574378224411634901660764935863082, 126045398018461406999638766826725292463886693350482607319699, 651137556729516057315300539661245425953102043585237068378963, 3363699834965441473155408942664830967140053203772476658083643, 17376428729368788086570032781406771254973224735995247432548368, 89764098781740832329634321003158990637381463601104102893287963, 463707100656906981223412888398516739095579947264562771630178272, 2395431694413528536820306356896124104850234130084584071645596624, 12374363297711587158728183737053070633918082935826892195131581164, 63923567913395216118821859090668249286248177333450304606442631697, 330216121754818173003360656361594528196910218172040687017673449501, 1705825889976431689428464690216564588187376208099646481349097285501, 8811915740727940961204987816144079208279359552355871547578699806522, 45520310335910937297820491568997962556976034906009015037597117984717, 235146962898561573873856227079077600439595097349331317058265442580626, 1214710679855089090023475256400544914595533766388929014192874741937422, 6274883620592604602074007606735663486093493998673075497331935279630568
Specification 1
Strategy pack name: point_placements_tracked_fusion
Tree: http://www.permpal.com/tree/24197/
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[4,x]*F[66,x]
F[4,x] = F[5,x,1]
F[5,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[6,x,k[0]] = F[7,x,k[0]]
F[7,x,k[0]] = F[14,x,k[0]]*F[8,x,k[0]]
F[8,x,k[0]] = F[48,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[0,x]*F[10,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]+F[30,x,k[0]]
F[11,x,k[0]] = F[1,x]+F[12,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[15,x,k[0]]
F[14,x,k[0]] = k[0]*x
F[15,x,k[0]] = F[11,x,k[0]]+F[16,x,k[0]]
F[16,x,k[0]] = F[12,x,k[0]]+F[17,x,k[0]]
F[17,x,k[0]] = F[18,x]+F[19,x,k[0]]+F[22,x,k[0]]
F[18,x] = 0
F[19,x,k[0]] = F[14,x,k[0]]*F[20,x,k[0]]
F[20,x,k[0]] = F[21,x,k[0]]
F[21,x,k[0]] = F[12,x,k[0]]+F[17,x,k[0]]
F[22,x,k[0]] = F[14,x,k[0]]*F[23,x,k[0]]
F[23,x,k[0]] = F[24,x,k[0]]+F[25,x,k[0]]
F[24,x,k[0]] = F[12,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]
F[26,x,k[0]] = F[27,x,k[0]]
F[27,x,k[0]] = F[14,x,k[0]]*F[28,x,k[0]]
F[28,x,k[0]] = F[29,x,k[0]]
F[29,x,k[0]] = F[12,x,k[0]]+F[26,x,k[0]]
F[30,x,k[0]] = F[31,x,k[0]]
F[31,x,k[0]] = F[14,x,k[0]]*F[32,x,k[0]]*F[39,x,k[0]]*F[43,x,k[0]]
F[32,x,k[0]] = F[1,x]+F[33,x,k[0]]
F[33,x,k[0]] = F[34,x,k[0]]
F[34,x,k[0]] = F[14,x,k[0]]*F[35,x,k[0]]
F[35,x,k[0]] = F[32,x,k[0]]+F[36,x,k[0]]
F[36,x,k[0]] = F[37,x,k[0]]+F[40,x,k[0]]
F[37,x,k[0]] = F[38,x,k[0]]
F[38,x,k[0]] = F[14,x,k[0]]*F[39,x,k[0]]
F[39,x,k[0]] = F[1,x]+F[37,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]
F[41,x,k[0]] = F[14,x,k[0]]*F[42,x,k[0]]
F[42,x,k[0]] = F[33,x,k[0]]+F[40,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]+F[45,x,k[0]]
F[44,x,k[0]] = F[11,x,k[0]]*F[39,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]
F[46,x,k[0]] = F[14,x,k[0]]*F[47,x,k[0]]
F[47,x,k[0]] = F[16,x,k[0]]+F[45,x,k[0]]
F[48,x,k[0]] = F[49,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]*F[66,x]
F[50,x,k[0]] = F[51,x,k[0]]+F[55,x,k[0]]
F[51,x,k[0]] = F[32,x,k[0]]*F[52,x,k[0]]
F[53,x,k[0]] = F[14,x,k[0]]*F[52,x,k[0]]
F[53,x,k[0]] = F[54,x,k[0]]
F[54,x,k[0]] = -k[0]*(F[6,x,1]-F[6,x,k[0]])/(-1+k[0])
F[55,x,k[0]] = F[56,x,k[0]]
F[56,x,k[0]] = F[57,x,1,k[0]]
F[57,x,k[0],k[1]] = F[58,x,k[0]*k[1],k[1]]
F[58,x,k[0],k[1]] = F[0,x]*F[59,x,k[0],k[1]]
F[59,x,k[0],k[1]] = F[60,x,k[0],k[1]]+F[72,x,k[0],k[1]]
F[60,x,k[0],k[1]] = F[61,x]*F[67,x,k[0],k[1]]
F[61,x] = F[62,x,1]
F[62,x,k[0]] = F[32,x,k[0]]+F[63,x,k[0]]
F[63,x,k[0]] = F[64,x,k[0]]
F[64,x,k[0]] = F[32,x,k[0]]*F[65,x,k[0]]*F[66,x]
F[65,x,k[0]] = 1/(-1+k[0])*(F[62,x,k[0]]*k[0]-F[62,x,1])
F[66,x] = x
F[67,x,k[0],k[1]] = F[12,x,k[1]]+F[68,x,k[0],k[1]]
F[68,x,k[0],k[1]] = F[69,x,k[0],k[1]]
F[69,x,k[0],k[1]] = F[14,x,k[0]]*F[32,x,k[0]]*F[39,x,k[0]]*F[70,x,k[1]]
F[70,x,k[0]] = F[12,x,k[0]]+F[71,x,k[0]]
F[71,x,k[0]] = F[12,x,k[0]]*F[39,x,k[0]]
F[72,x,k[0],k[1]] = F[73,x,k[1]]*F[87,x,k[0],k[1]]
F[74,x,k[0]] = F[61,x]+F[73,x,k[0]]
F[74,x,k[0]] = F[75,x,1,k[0]]
F[76,x,k[0],k[1]] = F[75,x,k[0]*k[1],k[1]]
F[76,x,k[0],k[1]] = F[77,x,k[0],k[1]]+F[81,x,k[0],k[1]]
F[77,x,k[0],k[1]] = F[78,x,k[0]*k[1],k[1]]
F[78,x,k[0],k[1]] = F[11,x,k[1]]+F[79,x,k[0],k[1]]
F[79,x,k[0],k[1]] = F[80,x,k[0],k[1]]
F[80,x,k[0],k[1]] = F[14,x,k[0]]*F[32,x,k[0]]*F[39,x,k[0]]*F[43,x,k[1]]
F[81,x,k[0],k[1]] = F[82,x,k[0],k[1]]
F[82,x,k[0],k[1]] = F[66,x]*F[83,x,k[0],k[1]]
F[83,x,k[0],k[1]] = F[84,x,k[0],k[1]]+F[86,x,k[0],k[1]]
F[84,x,k[0],k[1]] = F[32,x,k[1]]*F[85,x,k[0],k[1]]
F[85,x,k[0],k[1]] = 1/(k[0]*k[1]-1)*(F[76,x,k[0],k[1]]*k[0]*k[1]-F[76,x,1/k[1],k[1]])
F[86,x,k[0],k[1]] = F[59,x,k[0]*k[1],k[1]]
F[87,x,k[0],k[1]] = F[33,x,k[1]]+F[88,x,k[0],k[1]]
F[88,x,k[0],k[1]] = F[18,x]+F[89,x,k[0],k[1]]+F[94,x,k[0],k[1]]
F[89,x,k[0],k[1]] = F[14,x,k[0]]*F[90,x,k[0],k[1]]
F[90,x,k[0],k[1]] = F[87,x,k[0],k[1]]+F[91,x,k[0],k[1]]
F[91,x,k[0],k[1]] = F[92,x,k[0],k[1]]+F[97,x,k[0],k[1]]
F[92,x,k[0],k[1]] = F[18,x]+F[93,x,k[0],k[1]]+F[94,x,k[0],k[1]]
F[93,x,k[0],k[1]] = F[14,x,k[0]]*F[33,x,k[1]]
F[94,x,k[0],k[1]] = F[14,x,k[1]]*F[95,x,k[0],k[1]]
F[95,x,k[0],k[1]] = F[96,x,k[0],k[1]]
F[96,x,k[0],k[1]] = F[14,x,k[0]]+F[92,x,k[0],k[1]]
F[97,x,k[0],k[1]] = F[101,x,k[0],k[1]]+F[18,x]+F[98,x,k[0],k[1]]+F[99,x,k[0],k[1]]
F[98,x,k[0],k[1]] = F[14,x,k[0]]*F[88,x,k[0],k[1]]
F[99,x,k[0],k[1]] = F[100,x,k[0],k[1]]*F[14,x,k[0]]
F[100,x,k[0],k[1]] = F[91,x,k[0],k[1]]
F[101,x,k[0],k[1]] = 0
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_{4}\! \left(x \right) F_{66}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x , 1\right)
F_{5}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y\right)
F_{6}\! \left(x , y\right) = F_{7}\! \left(x , y\right)
F_{7}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{8}\! \left(x , y\right)
F_{8}\! \left(x , y\right) = F_{48}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{10}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{30}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{12}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{15}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = y x
F_{15}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{16}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x \right)+F_{19}\! \left(x , y\right)+F_{22}\! \left(x , y\right)
F_{18}\! \left(x \right) = 0
F_{19}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{21}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{17}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{23}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{24}\! \left(x , y\right)+F_{25}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{12}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{27}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{29}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{26}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{31}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{32}\! \left(x , y\right) F_{39}\! \left(x , y\right) F_{43}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{35}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{32}\! \left(x , y\right)+F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{37}\! \left(x , y\right)+F_{40}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{37}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{33}\! \left(x , y\right)+F_{40}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{39}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{16}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{49}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right) F_{66}\! \left(x \right)
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right)+F_{55}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{32}\! \left(x , y\right) F_{52}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{52}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = -\frac{y \left(F_{6}\! \left(x , 1\right)-F_{6}\! \left(x , y\right)\right)}{-1+y}
F_{55}\! \left(x , y\right) = F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{57}\! \left(x , 1, y\right)
F_{57}\! \left(x , y , z\right) = F_{58}\! \left(x , y z , z\right)
F_{58}\! \left(x , y , z\right) = F_{0}\! \left(x \right) F_{59}\! \left(x , y , z\right)
F_{59}\! \left(x , y , z\right) = F_{60}\! \left(x , y , z\right)+F_{72}\! \left(x , y , z\right)
F_{60}\! \left(x , y , z\right) = F_{61}\! \left(x \right) F_{67}\! \left(x , y , z\right)
F_{61}\! \left(x \right) = F_{62}\! \left(x , 1\right)
F_{62}\! \left(x , y\right) = F_{32}\! \left(x , y\right)+F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{32}\! \left(x , y\right) F_{65}\! \left(x , y\right) F_{66}\! \left(x \right)
F_{65}\! \left(x , y\right) = -\frac{-y F_{62}\! \left(x , y\right)+F_{62}\! \left(x , 1\right)}{-1+y}
F_{66}\! \left(x \right) = x
F_{67}\! \left(x , y , z\right) = F_{12}\! \left(x , z\right)+F_{68}\! \left(x , y , z\right)
F_{68}\! \left(x , y , z\right) = F_{69}\! \left(x , y , z\right)
F_{69}\! \left(x , y , z\right) = F_{14}\! \left(x , y\right) F_{32}\! \left(x , y\right) F_{39}\! \left(x , y\right) F_{70}\! \left(x , z\right)
F_{70}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{39}\! \left(x , y\right)
F_{72}\! \left(x , y , z\right) = F_{73}\! \left(x , z\right) F_{87}\! \left(x , y , z\right)
F_{74}\! \left(x , y\right) = F_{61}\! \left(x \right)+F_{73}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{75}\! \left(x , 1, y\right)
F_{76}\! \left(x , y , z\right) = F_{75}\! \left(x , y z , z\right)
F_{76}\! \left(x , y , z\right) = F_{77}\! \left(x , y , z\right)+F_{81}\! \left(x , y , z\right)
F_{77}\! \left(x , y , z\right) = F_{78}\! \left(x , y z , z\right)
F_{78}\! \left(x , y , z\right) = F_{11}\! \left(x , z\right)+F_{79}\! \left(x , y , z\right)
F_{79}\! \left(x , y , z\right) = F_{80}\! \left(x , y , z\right)
F_{80}\! \left(x , y , z\right) = F_{14}\! \left(x , y\right) F_{32}\! \left(x , y\right) F_{39}\! \left(x , y\right) F_{43}\! \left(x , z\right)
F_{81}\! \left(x , y , z\right) = F_{82}\! \left(x , y , z\right)
F_{82}\! \left(x , y , z\right) = F_{66}\! \left(x \right) F_{83}\! \left(x , y , z\right)
F_{83}\! \left(x , y , z\right) = F_{84}\! \left(x , y , z\right)+F_{86}\! \left(x , y , z\right)
F_{84}\! \left(x , y , z\right) = F_{32}\! \left(x , z\right) F_{85}\! \left(x , y , z\right)
F_{85}\! \left(x , y , z\right) = \frac{y z F_{76}\! \left(x , y , z\right)-F_{76}\! \left(x , \frac{1}{z}, z\right)}{y z -1}
F_{86}\! \left(x , y , z\right) = F_{59}\! \left(x , y z , z\right)
F_{87}\! \left(x , y , z\right) = F_{33}\! \left(x , z\right)+F_{88}\! \left(x , y , z\right)
F_{88}\! \left(x , y , z\right) = F_{18}\! \left(x \right)+F_{89}\! \left(x , y , z\right)+F_{94}\! \left(x , y , z\right)
F_{89}\! \left(x , y , z\right) = F_{14}\! \left(x , y\right) F_{90}\! \left(x , y , z\right)
F_{90}\! \left(x , y , z\right) = F_{87}\! \left(x , y , z\right)+F_{91}\! \left(x , y , z\right)
F_{91}\! \left(x , y , z\right) = F_{92}\! \left(x , y , z\right)+F_{97}\! \left(x , y , z\right)
F_{92}\! \left(x , y , z\right) = F_{18}\! \left(x \right)+F_{93}\! \left(x , y , z\right)+F_{94}\! \left(x , y , z\right)
F_{93}\! \left(x , y , z\right) = F_{14}\! \left(x , y\right) F_{33}\! \left(x , z\right)
F_{94}\! \left(x , y , z\right) = F_{14}\! \left(x , z\right) F_{95}\! \left(x , y , z\right)
F_{95}\! \left(x , y , z\right) = F_{96}\! \left(x , y , z\right)
F_{96}\! \left(x , y , z\right) = F_{14}\! \left(x , y\right)+F_{92}\! \left(x , y , z\right)
F_{97}\! \left(x , y , z\right) = F_{101}\! \left(x , y , z\right)+F_{18}\! \left(x \right)+F_{98}\! \left(x , y , z\right)+F_{99}\! \left(x , y , z\right)
F_{98}\! \left(x , y , z\right) = F_{14}\! \left(x , y\right) F_{88}\! \left(x , y , z\right)
F_{99}\! \left(x , y , z\right) = F_{100}\! \left(x , y , z\right) F_{14}\! \left(x , y\right)
F_{100}\! \left(x , y , z\right) = F_{91}\! \left(x , y , z\right)
F_{101}\! \left(x , y , z\right) = 0
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_4(x)*F_66(x))
Eq(F_4(x), F_5(x, 1))
Eq(F_5(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_6(x, k_0), F_7(x, k_0))
Eq(F_7(x, k_0), F_14(x, k_0)*F_8(x, k_0))
Eq(F_8(x, k_0), F_48(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_0(x)*F_10(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0) + F_30(x, k_0))
Eq(F_11(x, k_0), F_1(x) + F_12(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_15(x, k_0))
Eq(F_14(x, k_0), k_0*x)
Eq(F_15(x, k_0), F_11(x, k_0) + F_16(x, k_0))
Eq(F_16(x, k_0), F_12(x, k_0) + F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x) + F_19(x, k_0) + F_22(x, k_0))
Eq(F_18(x), 0)
Eq(F_19(x, k_0), F_14(x, k_0)*F_20(x, k_0))
Eq(F_20(x, k_0), F_21(x, k_0))
Eq(F_21(x, k_0), F_12(x, k_0) + F_17(x, k_0))
Eq(F_22(x, k_0), F_14(x, k_0)*F_23(x, k_0))
Eq(F_23(x, k_0), F_24(x, k_0) + F_25(x, k_0))
Eq(F_24(x, k_0), F_12(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0))
Eq(F_26(x, k_0), F_27(x, k_0))
Eq(F_27(x, k_0), F_14(x, k_0)*F_28(x, k_0))
Eq(F_28(x, k_0), F_29(x, k_0))
Eq(F_29(x, k_0), F_12(x, k_0) + F_26(x, k_0))
Eq(F_30(x, k_0), F_31(x, k_0))
Eq(F_31(x, k_0), F_14(x, k_0)*F_32(x, k_0)*F_39(x, k_0)*F_43(x, k_0))
Eq(F_32(x, k_0), F_1(x) + F_33(x, k_0))
Eq(F_33(x, k_0), F_34(x, k_0))
Eq(F_34(x, k_0), F_14(x, k_0)*F_35(x, k_0))
Eq(F_35(x, k_0), F_32(x, k_0) + F_36(x, k_0))
Eq(F_36(x, k_0), F_37(x, k_0) + F_40(x, k_0))
Eq(F_37(x, k_0), F_38(x, k_0))
Eq(F_38(x, k_0), F_14(x, k_0)*F_39(x, k_0))
Eq(F_39(x, k_0), F_1(x) + F_37(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0))
Eq(F_41(x, k_0), F_14(x, k_0)*F_42(x, k_0))
Eq(F_42(x, k_0), F_33(x, k_0) + F_40(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0) + F_45(x, k_0))
Eq(F_44(x, k_0), F_11(x, k_0)*F_39(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0))
Eq(F_46(x, k_0), F_14(x, k_0)*F_47(x, k_0))
Eq(F_47(x, k_0), F_16(x, k_0) + F_45(x, k_0))
Eq(F_48(x, k_0), F_49(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0)*F_66(x))
Eq(F_50(x, k_0), F_51(x, k_0) + F_55(x, k_0))
Eq(F_51(x, k_0), F_32(x, k_0)*F_52(x, k_0))
Eq(F_53(x, k_0), F_14(x, k_0)*F_52(x, k_0))
Eq(F_53(x, k_0), F_54(x, k_0))
Eq(F_54(x, k_0), -F_6(x, 1) + (k_0*F_6(x, k_0) - F_6(x, 1))/(k_0 - 1))
Eq(F_55(x, k_0), F_56(x, k_0))
Eq(F_56(x, k_0), F_57(x, 1, k_0))
Eq(F_57(x, k_0, k_1), F_58(x, k_0*k_1, k_1))
Eq(F_58(x, k_0, k_1), F_0(x)*F_59(x, k_0, k_1))
Eq(F_59(x, k_0, k_1), F_60(x, k_0, k_1) + F_72(x, k_0, k_1))
Eq(F_60(x, k_0, k_1), F_61(x)*F_67(x, k_0, k_1))
Eq(F_61(x), F_62(x, 1))
Eq(F_62(x, k_0), F_32(x, k_0) + F_63(x, k_0))
Eq(F_63(x, k_0), F_64(x, k_0))
Eq(F_64(x, k_0), F_32(x, k_0)*F_65(x, k_0)*F_66(x))
Eq(F_65(x, k_0), (k_0*F_62(x, k_0) - F_62(x, 1))/(k_0 - 1))
Eq(F_66(x), x)
Eq(F_67(x, k_0, k_1), F_12(x, k_1) + F_68(x, k_0, k_1))
Eq(F_68(x, k_0, k_1), F_69(x, k_0, k_1))
Eq(F_69(x, k_0, k_1), F_14(x, k_0)*F_32(x, k_0)*F_39(x, k_0)*F_70(x, k_1))
Eq(F_70(x, k_0), F_12(x, k_0) + F_71(x, k_0))
Eq(F_71(x, k_0), F_12(x, k_0)*F_39(x, k_0))
Eq(F_72(x, k_0, k_1), F_73(x, k_1)*F_87(x, k_0, k_1))
Eq(F_74(x, k_0), F_61(x) + F_73(x, k_0))
Eq(F_74(x, k_0), F_75(x, 1, k_0))
Eq(F_76(x, k_0, k_1), F_75(x, k_0*k_1, k_1))
Eq(F_76(x, k_0, k_1), F_77(x, k_0, k_1) + F_81(x, k_0, k_1))
Eq(F_77(x, k_0, k_1), F_78(x, k_0*k_1, k_1))
Eq(F_78(x, k_0, k_1), F_11(x, k_1) + F_79(x, k_0, k_1))
Eq(F_79(x, k_0, k_1), F_80(x, k_0, k_1))
Eq(F_80(x, k_0, k_1), F_14(x, k_0)*F_32(x, k_0)*F_39(x, k_0)*F_43(x, k_1))
Eq(F_81(x, k_0, k_1), F_82(x, k_0, k_1))
Eq(F_82(x, k_0, k_1), F_66(x)*F_83(x, k_0, k_1))
Eq(F_83(x, k_0, k_1), F_84(x, k_0, k_1) + F_86(x, k_0, k_1))
Eq(F_84(x, k_0, k_1), F_32(x, k_1)*F_85(x, k_0, k_1))
Eq(F_85(x, k_0, k_1), (k_0*k_1*F_76(x, k_0, k_1) - F_76(x, 1/k_1, k_1))/(k_0*k_1 - 1))
Eq(F_86(x, k_0, k_1), F_59(x, k_0*k_1, k_1))
Eq(F_87(x, k_0, k_1), F_33(x, k_1) + F_88(x, k_0, k_1))
Eq(F_88(x, k_0, k_1), F_18(x) + F_89(x, k_0, k_1) + F_94(x, k_0, k_1))
Eq(F_89(x, k_0, k_1), F_14(x, k_0)*F_90(x, k_0, k_1))
Eq(F_90(x, k_0, k_1), F_87(x, k_0, k_1) + F_91(x, k_0, k_1))
Eq(F_91(x, k_0, k_1), F_92(x, k_0, k_1) + F_97(x, k_0, k_1))
Eq(F_92(x, k_0, k_1), F_18(x) + F_93(x, k_0, k_1) + F_94(x, k_0, k_1))
Eq(F_93(x, k_0, k_1), F_14(x, k_0)*F_33(x, k_1))
Eq(F_94(x, k_0, k_1), F_14(x, k_1)*F_95(x, k_0, k_1))
Eq(F_95(x, k_0, k_1), F_96(x, k_0, k_1))
Eq(F_96(x, k_0, k_1), F_14(x, k_0) + F_92(x, k_0, k_1))
Eq(F_97(x, k_0, k_1), F_101(x, k_0, k_1) + F_18(x) + F_98(x, k_0, k_1) + F_99(x, k_0, k_1))
Eq(F_98(x, k_0, k_1), F_14(x, k_0)*F_88(x, k_0, k_1))
Eq(F_99(x, k_0, k_1), F_100(x, k_0, k_1)*F_14(x, k_0))
Eq(F_100(x, k_0, k_1), F_91(x, k_0, k_1))
Eq(F_101(x, k_0, k_1), 0)
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.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": "point_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, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "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": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "idx": 0, "original_rule": {"children": [{"assumptions": [{"assumption": "TrackingAssumption", "class_module": "tilings.assumptions", "gps": [{"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 0]]}]}], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 2], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 1], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [1, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [1, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [1, 1], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [2, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [3, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 1], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [2, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [3, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [2, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 0], [1, 0], [3, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 0], [2, 0], [3, 0]]}, {"patt": [2, 1, 0], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 0], "pos": [[2, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 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