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44688,             21952;\n  2:          130321,           768208,           1698144,           1668352,             614656;\n  3:         2476099,         18244940,          53774560,          79246720,           58392320,           17210368;\n  4:        47045881,        415984632,        1532574960,        3011375360,         3328362240,         1961981952,          481890304;\n  5:       893871739,       9220992676,       40766493936,      100128230720,       147557392640,       130471799808,        64091410432,        13492928512;\n  6:     16983563041,     200227269536,     1032751179712,     3043898213888,      5607180920320,      6610571190272,      4870947192832,      2050925133824,       377801998336;\n  7:    322687697779,    4279857886332,    25228635961536,    86751099095808,    191765587474944,    282601918384128,    277643989991424,    175354098941952,     64604141715456,     10578455953408;\n  8:   6131066257801,   90352555378120,   599180104086480,  2354672689743360,   6072576936706560,  10738872898596864,  13188089524592640,  11105759599656960,   6137393462968320,   2009906631147520,   296196766695424;\n  9: 116490258898219, 1888368407402708, 13914293528230480, 61515824019545280, 181309797110238720, 374070739301124096, 551262142127972352, 580275939082076160, 427571744586792960, 210035242954915840, 61905124239343616, 8293509467471872;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (19+28*x)*P(n-1,x) for n >= 1, with P(0,x) = 361 + 1064*x + 784*x^2.","mathematica":"P[0, x_] := 361 + 1064*x + 784*x^2;\nP[n_, x_] := P[n, x] = Expand[(19 + 28*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] = 361 + 1064*x + 784*x^2; for(n = 1, N, my(i = n + 1); v[i] = (19 + 28*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-5cf6acfdac607d6d","steps":["basis A013611"],"edges":["e-0d83dd77e9f6bf78"],"text":"A038333 \u2192 basis A013611"},"headline":"A038333 \u2192 basis A013611","chain":null}