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4615105230,   11392214760,   16364242080,   15074469360,    9235096416,    3762666432,    983135232,    149485824,    10077696;\n  8:  8205571449,  50709697770,  140715706140,  230890525920,  248081505840,  182381873184,   92910198528,  32385235968,   7391990016,   997691904,   60466176;\n  9: 81226783441, 551715301164, 1700023033260, 3136835253960, 3851083744560, 3303072670464, 2019630557952, 880330415616, 268081830144, 54318781440, 6590813184, 362797056;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = -P(n-2,x) + (10+6*x)*P(n-1,x) for n >= 2, with P(0,x) = 89 + 114*x + 36*x^2, P(1,x) = 881 + 1668*x + 1044*x^2 + 216*x^3.","mathematica":"P[0, x_] := 89 + 114*x + 36*x^2;\nP[1, x_] := 881 + 1668*x + 1044*x^2 + 216*x^3;\nP[n_, x_] := P[n, x] = Expand[-P[n - 2, x] + (10 + 6*x)*P[n - 1, x]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 89 + 114*x + 36*x^2; v[2] = 881 + 1668*x + 1044*x^2 + 216*x^3; for(n = 2, N, my(i = n + 1); v[i] = -v[i - 2] + (10 + 6*x)*v[i - 1]); 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-8eb9bb3a09f0b7fd","steps":["basis A013610","basis A007318"],"edges":["e-8cd26e1d1ff01e6d","e-93941c03d72a750a"],"text":"A123519 \u2192 basis A013610 \u2192 basis A007318"},"headline":"A123519 \u2192 basis A013610 \u2192 basis A007318","chain":null}