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15315300, 22054032, 20011992, 11202048, 3544398, 486200;\n","recurrence_sentence":"The row polynomials satisfy (n+(3*n^2-4*n)*x+(n^3-2*n^2+n)*x^2)*P(n,x) = (4*n-6+(12*n^2-18*n)*x+(4*n^3+6*n^2-22*n+6)*x^2+(4*n^3-6*n^2)*x^3)*P(n-1,x) for n >= 2, with P(1,x) = 1.","mathematica":"P[1, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[Together[((4*n - 6 + (12*n^2 - 18*n)*x + (4*n^3 + 6*n^2 - 22*n + 6)*x^2 + (4*n^3 - 6*n^2)*x^3)*P[n - 1, x])/(n + (3*n^2 - 4*n)*x + (n^3 - 2*n^2 + n)*x^2)]];\nTable[CoefficientList[P[n, x], x], {n, 1, 10}] // Flatten","pari":"P(N) = {my(v = vector(N)); v[1] = 1; for(n = 2, N, my(i = n); v[i] = ((4*n - 6 + (12*n^2 - 18*n)*x + (4*n^3 + 6*n^2 - 22*n + 6)*x^2 + (4*n^3 - 6*n^2)*x^3)*v[i - 1])/(n + (3*n^2 - 4*n)*x + (n^3 - 2*n^2 + n)*x^2)); v};\nrow(n, p) = {my(c = Vecrev(p)); c};\nT(N) = {my(v = P(N)); concat(vector(#v, i, row(i, v[i])))};\nT(10)","reading":{"first_row":1,"offset":1,"reversed":false,"trim_zeros":"none","regular_triangle":false}}],"derivation":{"root":"n-a98fae1bf9eeb913","steps":["(\u03b8+1)\u00b2"],"edges":["e-0eee3767fe33ed2e"],"text":"A085880 \u2192 (\u03b8+1)\u00b2"},"headline":"A085880 \u2192 (\u03b8+1)\u00b2","chain":null}