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29376,             13824;\n  2:          83521,          471648,           998784,            940032,            331776;\n  3:        1419857,        10022520,         28298880,          39951360,          28200960,           7962624;\n  4:       24137569,       204459408,        721621440,        1358346240,        1438248960,         812187648,          191102976;\n  5:      410338673,      4055111592,      17174590272,       40410800640,       57050542080,       48325165056,        22741254144,         4586471424;\n  6:     6975757441,     78785025216,     389290712832,     1099173777408,     1939718430720,     2190740815872,      1546405281792,       623760113664,      110075314176;\n  7:   118587876497,   1506763607256,    8508782723328,    28028931323904,    59355383980032,    83795836207104,     78866669371392,     47717648695296,    16841523068928,     2641807540224;\n  8:  2015993900449,  28461090359280,  180811632870720,   680702617866240,  1681735879434240,  2849058431041536,   3351833448284160,   2704000092733440,  1431529460858880,   449107281838080,    63403380965376;\n  9: 34271896307633, 532222389718536, 3756863927424960, 15911423692623360, 44926372779171840, 88795654434127872, 125358570965827584, 126412004335288320, 89232003060203520, 41991530851860480, 11856432240525312, 1521681143169024;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (17+24*x)*P(n-1,x) for n >= 1, with P(0,x) = 289 + 816*x + 576*x^2.","mathematica":"P[0, x_] := 289 + 816*x + 576*x^2;\nP[n_, x_] := P[n, x] = Expand[(17 + 24*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] = 289 + 816*x + 576*x^2; for(n = 1, N, my(i = n + 1); v[i] = (17 + 24*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-1f2dec04776afb2b","steps":["basis A013611"],"edges":["e-5fcdd9bd1fb647dd"],"text":"A038320 \u2192 basis A013611"},"headline":"A038320 \u2192 basis A013611","chain":null}