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begins:\n  0:      1;\n  1:      1,        1;\n  2:      2,        6;\n  3:      6,       36,        6;\n  4:     24,      240,      120;\n  5:    120,     1800,     1800,      120;\n  6:    720,    15120,    25200,     5040;\n  7:   5040,   141120,   352800,   141120,     5040;\n  8:  40320,  1451520,  5080320,  3386880,   362880;\n  9: 362880, 16329600, 76204800, 76204800, 16329600, 362880;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = 2*n*P(n-1,x) - (n^2-n-(n^2-n)*x)*P(n-2,x) for n >= 2, with P(0,x) = 1, P(1,x) = 1 + x.","mathematica":"P[0, x_] := 1;\nP[1, x_] := 1 + x;\nP[n_, x_] := P[n, x] = Expand[2*n*P[n - 1, x] - (n^2 - n - (n^2 - n)*x)*P[n - 2, x]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; v[2] = 1 + x; for(n = 2, N, my(i = n + 1); v[i] = 2*n*v[i - 1] - (n^2 - n - (n^2 - n)*x)*v[i - 2]); 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}},{"oeis_id":"A228955","target":"triangle","first_row":0,"oeis_offset":0,"reversed":false,"trim_zeros":"none","regular_triangle":false,"rows_shown":10,"polytool_commit":"c48629374597092cc41ef4d6273f37991516f984","triangle_example":"Triangle begins:\n  0:      1;\n  1:      1,        1;\n  2:      2,        6;\n  3:      6,       36,        6;\n  4:     24,      240,      120;\n  5:    120,     1800,     1800,      120;\n  6:    720,    15120,    25200,     5040;\n  7:   5040,   141120,   352800,   141120,     5040;\n  8:  40320,  1451520,  5080320,  3386880,   362880;\n  9: 362880, 16329600, 76204800, 76204800, 16329600, 362880;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = 2*n*P(n-1,x) - (n^2-n-(n^2-n)*x)*P(n-2,x) for n >= 2, with P(0,x) = 1, P(1,x) = 1 + x.","mathematica":"P[0, x_] := 1;\nP[1, x_] := 1 + x;\nP[n_, x_] := P[n, x] = Expand[2*n*P[n - 1, x] 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