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64012032,    17915904;\n  8:  65536,  3145728,  37158912,  198180864,  580608000, 1003290624,  1024192512,   573308928,  136048896;\n  9: 262144, 14155776, 191102976, 1189085184, 4180377600, 9029615616, 12290310144, 10319560704, 4897760256, 1007769600;\n","recurrence_sentence":"The row polynomials satisfy (4+(18*n-6)*x+9*n^2*x^2)*P(n,x) = (16+(72*n+72)*x+(36*n^2+180*n+108)*x^2+(54*n^2+108*n+54)*x^3)*P(n-1,x) for n >= 1, with P(0,x) = 1.","mathematica":"P[0, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[Together[((16 + (72*n + 72)*x + (36*n^2 + 180*n + 108)*x^2 + (54*n^2 + 108*n + 54)*x^3)*P[n - 1, x])/(4 + (18*n - 6)*x + 9*n^2*x^2)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = ((16 + (72*n + 72)*x + (36*n^2 + 180*n + 108)*x^2 + (54*n^2 + 108*n + 54)*x^3)*v[i - 1])/(4 + (18*n - 6)*x + 9*n^2*x^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}}],"derivation":{"root":"n-d28ad9841fc73317","steps":["basis A013610","(\u03b8+1)\u00b2"],"edges":["e-1a1a6d136d357a71","e-6b0441242239f9fb"],"text":"A038208 \u2192 basis A013610 \u2192 (\u03b8+1)\u00b2"},"headline":"A038208 \u2192 basis A013610 \u2192 (\u03b8+1)\u00b2","chain":null}