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v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = ((45*n^2 - 144*n + 101 + (300*n^2 - 960*n + 669)*x + (832*n^2 - 2647*n + 1830)*x^2 + (1228*n^2 - 3867*n + 2650)*x^3 + (1017*n^2 - 3159*n + 2145)*x^4 + (448*n^2 - 1369*n + 921)*x^5 + (82*n^2 - 246*n + 164)*x^6)*v[i - 1] - (60*n - 130 + (500*n - 1073)*x + (1763*n - 3743)*x^2 + (3416*n - 7170)*x^3 + (3934*n - 8160)*x^4 + (2696*n - 5525)*x^5 + (1019*n - 2063)*x^6 + (164*n - 328)*x^7)*deriv(v[i - 1], x) + (20 + 200*x + 861*x^2 + 2087*x^3 + 3120*x^4 + 2950*x^5 + 1725*x^6 + 571*x^7 + 82*x^8)*deriv(deriv(v[i - 1], x), x))/(n + 3*n*x + 3*n*x^2 + n*x^3)); 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-ed9434bfd889c409","steps":["x \u21a6 x+1","x \u21a6 x/(x+1)"],"edges":["e-0f7951445df45664","e-0b9b6f1c3976edb4"],"text":"A081579 \u2192 x \u21a6 x+1 \u2192 x \u21a6 x/(x+1)"},"headline":"A081579 \u2192 x \u21a6 x+1 \u2192 x \u21a6 x/(x+1)","chain":null}