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        2420,                484;\n  3:           85184,            202312,              95832,              10648;\n  4:         3748096,          15226640,           12884080,            3279584,             234256;\n  5:       164916224,        1087416352,         1468785120,          644204000,          103072640,           5153632;\n  6:      7256313856,       75397636160,       153176250304,       103175712640,        27778076480,        3061257408,         113379904;\n  7:    319277809664,     5135882891392,     15138258022272,     14719205897088,      5936571773440,     1082551323392,       87302526080,       2494357888;\n  8:  14048223625216,   345992382644480,   1445156129570560,   1952154325169664,   1107450003830016,   297317482818048,    39181373704704,    2414538435584,    54875873536;\n  9: 618121839509504, 23144558174290432, 134785571820387840, 246530410619215360, 189130795659294720, 70150792438239744, 13436906394024960, 1340068831749120, 65192537760768, 1207269217792;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (44+22*x)*P(n-1,x) + 22*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[(44 + 22*x)*P[n - 1, x] + 22*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] = (44 + 22*x)*v[i - 1] + 22*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-8064e72cf80883a7","steps":["basis A013609","basis A008277"],"edges":["e-290484f08292dc0a","e-6c07faaa340f4ccd"],"text":"A038325 \u2192 basis A013609 \u2192 basis A008277"},"headline":"A038325 \u2192 basis A013609 \u2192 basis A008277","chain":null}