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  103783680,   243243000,   315242928,    214540326,    60046272;\n   9:  366080,  17571840,  207567360,  1107025920,  3243240000,  5604318720,   5721075360,  3202467840,   759960630;\n  10: 2489344, 134424576, 1814731776, 11291664384, 39697257600, 85746076416, 116709937344, 97995515904, 46509590556, 9569874600;\n","recurrence_sentence":"The row polynomials satisfy (4*n+(18*n^2-24*n)*x+(9*n^3-18*n^2+9*n)*x^2)*P(n,x) = (32*n-48+(144*n^2-216*n)*x+(72*n^3+108*n^2-396*n+108)*x^2+(108*n^3-162*n^2)*x^3)*P(n-1,x) for n >= 2, with P(1,x) = 1.","mathematica":"P[1, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[Together[((32*n - 48 + (144*n^2 - 216*n)*x + (72*n^3 + 108*n^2 - 396*n + 108)*x^2 + (108*n^3 - 162*n^2)*x^3)*P[n - 1, x])/(4*n + (18*n^2 - 24*n)*x + (9*n^3 - 18*n^2 + 9*n)*x^2)]];\nTable[CoefficientList[P[n, x], x], {n, 1, 10}] // Flatten","pari":"P(N) = {my(v = vector(N)); v[1] = 1; for(n = 2, N, my(i = n); v[i] = ((32*n - 48 + (144*n^2 - 216*n)*x + (72*n^3 + 108*n^2 - 396*n + 108)*x^2 + (108*n^3 - 162*n^2)*x^3)*v[i - 1])/(4*n + (18*n^2 - 24*n)*x + (9*n^3 - 18*n^2 + 9*n)*x^2)); 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-a98fae1bf9eeb913","steps":["basis A013610","(\u03b8+1)\u00b2"],"edges":["e-13e67b7b83b67a66","e-41888ab8eafd35af"],"text":"A085880 \u2192 basis A013610 \u2192 (\u03b8+1)\u00b2"},"headline":"A085880 \u2192 basis A013610 \u2192 (\u03b8+1)\u00b2","chain":null}