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1;\n  1:     3,      7;\n  2:     9,     42,      49;\n  3:    27,    189,     441,      343;\n  4:    81,    756,    2646,     4116,     2401;\n  5:   243,   2835,   13230,    30870,    36015,     16807;\n  6:   729,  10206,   59535,   185220,   324135,    302526,    117649;\n  7:  2187,  35721,  250047,   972405,  2268945,   3176523,   2470629,    823543;\n  8:  6561, 122472, 1000188,  4667544, 13613670,  25412184,  29647548,  19765032,   5764801;\n  9: 19683, 413343, 3857868, 21003948, 73513818, 171532242, 266827932, 266827932, 155649627, 40353607;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (3+7*x)*P(n-1,x) for n >= 1, with P(0,x) = 1.","mathematica":"P[0, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[(3 + 7*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] = 1; for(n = 1, N, my(i = n + 1); v[i] = (3 + 7*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-22693abd431a71f2","steps":["basis A013610","reverse"],"edges":["e-b9cdb58d54bdc029","e-e3dea0c2f6b14889"],"text":"A038255 \u2192 basis A013610 \u2192 reverse"},"headline":"A038255 \u2192 basis A013610 \u2192 reverse","chain":null}