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v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = ((6*n - 3 + (27*n - 17)*x + (45*n - 34)*x^2 + (33*n - 29)*x^3 + (9*n - 9)*x^4)*v[i - 1] - (4 + 24*x + 57*x^2 + 67*x^3 + 39*x^4 + 9*x^5)*deriv(v[i - 1], x))/(1 + 2*x + 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-f277d949034445ba","steps":["x \u21a6 x+1 (shift +1)","x \u21a6 x+1","x \u21a6 x/(x+1)"],"edges":["e-236d0fb15dc6eca0","e-8abcc7766de04335","e-accb69f4c493a0d1"],"text":"A008278 \u2192 x \u21a6 x+1 (shift +1) \u2192 x \u21a6 x+1 \u2192 x \u21a6 x/(x+1)"},"headline":"A008278 \u2192 x \u21a6 x+1 (shift +1) \u2192 x \u21a6 x+1 \u2192 x \u21a6 x/(x+1)","chain":null}