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       1;\n  1:           18,            36,             18;\n  2:          324,          1296,           1944,            1296,             324;\n  3:         5832,         34992,          87480,          116640,           87480,            34992,             5832;\n  4:       104976,        839808,        2939328,         5878656,         7348320,          5878656,          2939328,           839808,           104976;\n  5:      1889568,      18895680,       85030560,       226748160,       396809280,        476171136,        396809280,        226748160,         85030560,         18895680,          1889568;\n  6:     34012224,     408146688,     2244806784,      7482689280,     16836050880,      26937681408,      31427294976,      26937681408,      16836050880,       7482689280,       2244806784,        408146688,         34012224;\n  7:    612220032,    8571080448,    55712022912,    222848091648,    612832252032,    1225664504064,    1838496756096,    2101139149824,    1838496756096,    1225664504064,     612832252032,     222848091648,      55712022912,       8571080448,       612220032;\n  8:  11019960576,  176319369216,  1322395269120,   6171177922560,  20056328248320,   48135187795968,   88247844292608,  126068348989440,  141826892613120,  126068348989440,   88247844292608,   48135187795968,   20056328248320,    6171177922560,   1322395269120,    176319369216,    11019960576;\n  9: 198359290368, 3570467226624, 30348971426304, 161861180940288, 606979428526080, 1699542399873024, 3682341866391552, 6312586056671232, 8679805827922944, 9644228697692160, 8679805827922944, 6312586056671232, 3682341866391552, 1699542399873024, 606979428526080, 161861180940288, 30348971426304, 3570467226624, 198359290368;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (18+36*x+18*x^2)*P(n-1,x) for n >= 1, with P(0,x) = 1.","mathematica":"P[0, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[(18 + 36*x + 18*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; for(n = 1, N, my(i = n + 1); v[i] = (18 + 36*x + 18*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, v[i])))};\nT(9)","reading":{"first_row":0,"offset":0,"reversed":false,"trim_zeros":"none","regular_triangle":false}}],"derivation":{"root":"n-336459bdce627a87","steps":["x \u21a6 x+1","basis A013610"],"edges":["e-9d7e9cd87d9b797c","e-2f989d55222f21f4"],"text":"A139548 \u2192 x \u21a6 x+1 \u2192 basis A013610"},"headline":"A139548 \u2192 x \u21a6 x+1 \u2192 basis A013610","chain":null}