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  665,      315,        35;\n  4:   1120,     4550,     3850,       980,        70;\n  5:   4032,    26586,    35910,     15750,      2520,      126;\n  6:  13440,   139650,   283710,    191100,     51450,     5670,     210;\n  7:  42240,   679470,  2002770,   1947330,    785400,   143220,   11550,    330;\n  8: 126720,  3120975, 13035825,  17609130,   9989595,  2681910,  353430,  21780,   495;\n  9: 366080, 13707265, 79826175, 146006575, 112011900, 41546505, 7957950, 793650, 38610, 715;\n","recurrence_sentence":"The row polynomials satisfy n*P(n,x) = (2*n+8+(n+4)*x)*P(n-1,x) + (n+4)*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[Together[((2*n + 8 + (n + 4)*x)*P[n - 1, x] + (n + 4)*x*D[P[n - 1, x], x])/(n)]];\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] = ((2*n + 8 + (n + 4)*x)*v[i - 1] + (n + 4)*x*deriv(v[i - 1], x))/(n)); 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