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204800000000000;\n","recurrence_sentence":"The row polynomials satisfy (20*n+37+20*x)*P(n,x) = (340*n+969+(400*n+1480)*x+400*x^2)*P(n-1,x) for n >= 1, with P(0,x) = 969 + 1480*x + 400*x^2.","mathematica":"P[0, x_] := 969 + 1480*x + 400*x^2;\nP[n_, x_] := P[n, x] = Expand[Together[((340*n + 969 + (400*n + 1480)*x + 400*x^2)*P[n - 1, x])/(20*n + 37 + 20*x)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 969 + 1480*x + 400*x^2; for(n = 1, N, my(i = n + 1); v[i] = ((340*n + 969 + (400*n + 1480)*x + 400*x^2)*v[i - 1])/(20*n + 37 + 20*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-a5302200d285579d","steps":["basis A013611","D+1"],"edges":["e-df900b884626232f","e-bd1459b9f0777120"],"text":"A038331 \u2192 basis A013611 \u2192 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