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begins:\n  0:      0;\n  1:      1;\n  2:      8,       2;\n  3:     48,      24,       3;\n  4:    256,     192,      48,      4;\n  5:   1280,    1280,     480,     80,      5;\n  6:   6144,    7680,    3840,    960,    120,     6;\n  7:  28672,   43008,   26880,   8960,   1680,   168,    7;\n  8: 131072,  229376,  172032,  71680,  17920,  2688,  224,   8;\n  9: 589824, 1179648, 1032192, 516096, 161280, 32256, 4032, 288, 9;\n","recurrence_sentence":"The row polynomials satisfy (n-1)*P(n,x) = (4*n+n*x)*P(n-1,x) for n >= 2, with P(0,x) = 0, P(1,x) = 1.","mathematica":"P[0, x_] := 0;\nP[1, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[Together[((4*n + n*x)*P[n - 1, x])/(n - 1)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 0; v[2] = 1; for(n = 2, N, my(i = n + 1); v[i] = ((4*n + n*x)*v[i - 1])/(n - 1)); v};\nrow(n, p) = {my(c = Vecrev(p)); c};\nT(N) = {my(v = P(N)); concat(vector(#v, i, row(i - 1, 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