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1242455760,       3182502960,       2507954400,        759326400,         91854000,         3674160;\n  7:    3150000000,     81407168640,     309879198720,     357270963840,     163459296000,      32920473600,      2880541440,       88179840;\n  8:  141750000000,   5946366142080,   32876034226560,   53382879809280,   34655588311680,   10339086240000,   1485124865280,    98408701440,    2380855680;\n  9: 7087500000000, 479961791366400, 3794754749184000, 8459884200096000, 7492936407264000, 3107484897350400, 651751306214400, 70140008332800, 3642709190400, 71425670400;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (5*n+5+(3*n+3)*x)*P(n-1,x) + (3*n+3)*x*d/dx P(n-1,x) for n >= 1, with P(0,x) = 1.","mathematica":"P[0, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[(5*n + 5 + (3*n + 3)*x)*P[n - 1, x] + (3*n + 3)*x*D[P[n - 1, x], x]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = (5*n + 5 + (3*n + 3)*x)*v[i - 1] + (3*n + 3)*x*deriv(v[i - 1], x)); 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-75a6475b3e851dc5","steps":["basis A013610","basis A008277"],"edges":["e-1eb90284df2d6b2d","e-70b59d99a8ea6c14"],"text":"A156992 \u2192 basis A013610 \u2192 basis A008277"},"headline":"A156992 \u2192 basis A013610 \u2192 basis A008277","chain":null}