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1240029, 11573604, 63011844, 220541454, 514596726, 800483796, 800483796, 466948881, 121060821;\n","recurrence_sentence":"The row polynomials satisfy (1+x)*P(n,x) = (3+10*x+7*x^2)*P(n-1,x) for n >= 1, with P(0,x) = 3.","mathematica":"P[0, x_] := 3;\nP[n_, x_] := P[n, x] = Expand[Together[((3 + 10*x + 7*x^2)*P[n - 1, x])/(1 + x)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 3; for(n = 1, N, my(i = n + 1); v[i] = ((3 + 10*x + 7*x^2)*v[i - 1])/(1 + 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-51b4f5e7901c2b50","steps":["basis A013611","x \u21a6 x/(x+1)"],"edges":["e-1a05d30902084644","e-e3646c640befb9d9"],"text":"A120910 \u2192 basis A013611 \u2192 x \u21a6 x/(x+1)"},"headline":"A120910 \u2192 basis A013611 \u2192 x \u21a6 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