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8: 16777216, 117440512, 381681664, 765460480, 1061552128, 1080819712, 836878336, 503504896, 238362880, 89318656, 26497792, 6189568, 1124704, 155680, 15856, 1120, 49, 1;\n 9: 134217728, 1040187392, 3774873600, 8531214336, 13466861568, 15781330944, 14241497088, 10130128896, 5764810752, 2648231424, 986257152, 297821952, 72632832, 14183232, 2185632, 259776, 22968, 1422, 55, 1;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (8+6*x+x^2)*P(n-1,x) for n >= 1, with P(0,x) = 1 + x.","mathematica":"P[0, x_] := 1 + x;\nP[n_, x_] := P[n, x] = Expand[(8 + 6*x + x^2)*P[n - 1, x]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1 + x; for(n = 1, N, my(i = n + 1); v[i] = (8 + 6*x + x^2)*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, 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