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2093985474560,         764759912448,         155168677888,          13492928512;\n  6:      20047612231936,       97623155216384,      207979765460992,      253192757952512,      192646663659520,       93810549260288,       28551036731392,        4965397692416,        377801998336;\n  7:     922190162669056,     5051998282447872,    12300517557264384,    17470300298723328,    15951143751008256,     9709391848439808,     3940043068932096,     1027837322330112,     156410027311104,      10578455953408;\n  8:   42420747482776576,   258213245547335680,   707279759542702080,  1148048305344675840,  1222921020910632960,   893264050056462336,   453104952927191040,   157601722757283840,   35974306281553920,    4866089738567680,    296196766695424;\n  9: 1951354384207722496, 13065590224695185408, 39764839814289694720, 72614055313050746880, 88399719511540039680, 75331934888094990336, 45854221236231733248, 19936617928796405760, 6067666326155427840, 1231120703857623040, 149875563947884544, 8293509467471872;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (46+28*x)*P(n-1,x) for n >= 1, with P(0,x) = 2116 + 2576*x + 784*x^2.","mathematica":"P[0, x_] := 2116 + 2576*x + 784*x^2;\nP[n_, x_] := P[n, x] = Expand[(46 + 28*x)*P[n - 1, x]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 2116 + 2576*x + 784*x^2; for(n = 1, N, my(i = n + 1); v[i] = (46 + 28*x)*v[i - 1]); v};\nrow(n, p) = {my(c = Vecrev(p)); c};\nT(N) = {my(v = P(N)); concat(vector(#v, i, row(i - 1, v[i])))};\nT(9)","reading":{"first_row":0,"offset":0,"reversed":false,"trim_zeros":"none","regular_triangle":false}}],"derivation":{"root":"n-7dcf11eddf2b9a8a","steps":["basis A013611","basis A007318"],"edges":["e-e460f89b751823ed","e-29137381b07f15b6"],"text":"A038321 \u2192 basis A013611 \u2192 basis A007318"},"headline":"A038321 \u2192 basis A013611 \u2192 basis A007318","chain":null}