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v[1] = 1; for(n = 2, N, my(i = n); v[i] = ((4*n^3 - 10*n^2 + 8*n - 2 + (44*n^3 - 138*n^2 + 140*n - 44)*x + (147*n^3 - 530*n^2 + 613*n - 210)*x^2 + (232*n^3 - 946*n^2 + 1214*n - 440)*x^3 + (194*n^3 - 888*n^2 + 1244*n - 470)*x^4 + (84*n^3 - 428*n^2 + 646*n - 252)*x^5 + (15*n^3 - 84*n^2 + 135*n - 54)*x^6)*v[i - 1] + ((8*n^2 - 18*n + 8)*x - (2*n^2 - 8*n + 4)*x^2 - (118*n^2 - 320*n + 150)*x^3 - (292*n^2 - 840*n + 400)*x^4 - (308*n^2 - 950*n + 460)*x^5 - (154*n^2 - 512*n + 252)*x^6 - (30*n^2 - 108*n + 54)*x^7)*deriv(v[i - 1], x) - ((5*n - 3)*x^2 + (10*n - 6)*x^3 - (25*n - 15)*x^4 - (100*n - 60)*x^5 - (125*n - 75)*x^6 - (70*n - 42)*x^7 - (15*n - 9)*x^8)*deriv(deriv(v[i - 1], x), x))/(4*n^3 - 10*n^2 + 8*n - 2 + (12*n^3 - 30*n^2 + 24*n - 6)*x + (12*n^3 - 30*n^2 + 24*n - 6)*x^2 + (4*n^3 - 10*n^2 + 8*n - 2)*x^3)); 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-5c0c5bce3aee8449","steps":["\u03b8+1","x \u21a6 x/(x+1)"],"edges":["e-79b5bc170ae8a162","e-a0182e39ebd03d88"],"text":"A391045 \u2192 \u03b8+1 \u2192 x \u21a6 x/(x+1)"},"headline":"A391045 \u2192 \u03b8+1 \u2192 x \u21a6 x/(x+1)","chain":null}