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v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = ((29*n^2 - 86*n + 60 + (188*n^2 - 571*n + 396)*x + (510*n^2 - 1569*n + 1080)*x^2 + (740*n^2 - 2285*n + 1560)*x^3 + (605*n^2 - 1861*n + 1260)*x^4 + (264*n^2 - 804*n + 540)*x^5 + (48*n^2 - 144*n + 96)*x^6)*v[i - 1] - (39*n - 80 + (316*n - 652)*x + (1090*n - 2252)*x^2 + (2076*n - 4280)*x^3 + (2359*n - 4840)*x^4 + (1600*n - 3260)*x^5 + (600*n - 1212)*x^6 + (96*n - 192)*x^7)*deriv(v[i - 1], x) + (13 + 127*x + 536*x^2 + 1278*x^3 + 1885*x^4 + 1763*x^5 + 1022*x^6 + 336*x^7 + 48*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-d5c14b9fec875ecc","steps":["x \u21a6 x+1","x \u21a6 x/(x+1)"],"edges":["e-03e3acc3469b904b","e-caaca3a784e4932b"],"text":"A121574 \u2192 x \u21a6 x+1 \u2192 x \u21a6 x/(x+1)"},"headline":"A121574 \u2192 x \u21a6 x+1 \u2192 x \u21a6 x/(x+1)","chain":null}