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1728,           216;\n  4:      10000,       55536,        56592,         16416,          1296;\n  5:     100000,      948576,      1578240,        799200,        142560,         7776;\n  6:    1000000,    15777216,     40412736,      31847040,       9642240,      1166400,       46656;\n  7:   10000000,   258435456,    983743488,    1134193536,     518918400,    104509440,     9144576,     279936;\n  8:  100000000,  4194967296,  23192969472,   37659879936,   24448386816,   7293888000,  1047707136,   69424128,   1679616;\n  9: 1000000000, 67719476736, 535415132160, 1193634455040, 1057204431360, 438445840896, 91957856256, 9896297472, 513962496, 10077696;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (10+6*x)*P(n-1,x) + 6*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[(10 + 6*x)*P[n - 1, x] + 6*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] = (10 + 6*x)*v[i - 1] + 6*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-d28ad9841fc73317","steps":["basis A013610","basis A008277"],"edges":["e-1a1a6d136d357a71","e-73339d7dd53f84c4"],"text":"A038208 \u2192 basis A013610 \u2192 basis A008277"},"headline":"A038208 \u2192 basis A013610 \u2192 basis A008277","chain":null}