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v[1] = 2; for(n = 1, N, my(i = n + 1); v[i] = ((4*n^2 + 10*n + 6 + (17*n^2 + 36*n + 15)*x + (26*n^2 + 44*n + 6)*x^2 + (17*n^2 + 20*n - 9)*x^3 + (4*n^2 + 2*n - 6)*x^4)*v[i - 1] - ((2*n + 3)*x + (10*n + 15)*x^2 + (18*n + 27)*x^3 + (14*n + 21)*x^4 + (4*n + 6)*x^5)*deriv(v[i - 1], x))/(n^2 + 4*n + 3 + (2*n^2 + 8*n + 6)*x + (n^2 + 4*n + 3)*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-c963abfc0266d66c","steps":["x \u21a6 x+1","x \u21a6 x/(x+1)"],"edges":["e-454321f2b34b0823","e-d378dcf6d5eaf801"],"text":"A108838 \u2192 x \u21a6 x+1 \u2192 x \u21a6 x/(x+1)"},"headline":"A108838 \u2192 x \u21a6 x+1 \u2192 x \u21a6 x/(x+1)","chain":null}