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v[1] = 1; v[2] = 1 + 5*x; for(n = 3, N, my(i = n); v[i] = (((2*n - 10)*x - (n^2 - 13*n + 37)*x^2 - (n^2 - 7*n + 9)*x^3 + (6*n^2 - 58*n + 131)*x^4 + (14*n^2 - 116*n + 227)*x^5 + (11*n^2 - 83*n + 150)*x^6 + (3*n^2 - 21*n + 36)*x^7)*v[i - 2] - (2*x - (2*n - 16)*x^2 - (4*n - 22)*x^3 + (10*n - 56)*x^4 + (40*n - 194)*x^5 + (50*n - 224)*x^6 + (28*n - 118)*x^7 + (6*n - 24)*x^8)*deriv(v[i - 2], x) - (x^2 + 3*x^3 - 3*x^4 - 25*x^5 - 45*x^6 - 39*x^7 - 17*x^8 - 3*x^9)*deriv(deriv(v[i - 2], x), x) + (1 - (2*n - 12)*x - (4*n - 26)*x^2 + 16*x^3 + (4*n - 3)*x^4 + (2*n - 4)*x^5)*v[i - 1] + (2*x + 6*x^2 + 4*x^3 - 4*x^4 - 6*x^5 - 2*x^6)*deriv(v[i - 1], x))/(1 + 3*x + 3*x^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-3cb22164e2f83fe1","steps":["(\u03b8+1)\u00b2","x \u21a6 x/(x+1)"],"edges":["e-72cd2be7747bf330","e-9656de5fdacccbee"],"text":"A008277 \u2192 (\u03b8+1)\u00b2 \u2192 x \u21a6 x/(x+1)"},"headline":"A008277 \u2192 (\u03b8+1)\u00b2 \u2192 x \u21a6 x/(x+1)","chain":null}