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begins:\n  0: 2;\n  1: 1,  2;\n  2: 1,  3,  2;\n  3: 1,  4,  5,   2;\n  4: 1,  5,  9,   7,   2;\n  5: 1,  6, 14,  16,   9,   2;\n  6: 1,  7, 20,  30,  25,  11,   2;\n  7: 1,  8, 27,  50,  55,  36,  13,  2;\n  8: 1,  9, 35,  77, 105,  91,  49, 15,  2;\n  9: 1, 10, 44, 112, 182, 196, 140, 64, 17, 2;\n","recurrence_sentence":"The row polynomials satisfy (n-1)*P(n,x) = (n-1+(n-1)*x)*P(n-1,x) for n >= 2, with P(0,x) = 2, P(1,x) = 1 + 2*x.","mathematica":"P[0, x_] := 2;\nP[1, x_] := 1 + 2*x;\nP[n_, x_] := P[n, x] = Expand[Together[((n - 1 + (n - 1)*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] = 2; v[2] = 1 + 2*x; for(n = 2, N, my(i = n + 1); v[i] = ((n - 1 + (n - 1)*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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