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18874368,         1835008;\n  5:      268435456,      1879048192,      4227858432,       4697620480,       2936012800,       1056964608,       205520896,        16777216;\n  6:     4294967296,     34359738368,     90194313216,     120259084288,      93952409600,      45097156608,     13153337344,      2147483648,       150994944;\n  7:    68719476736,    618475290624,   1855425871872,    2886218022912,    2705829396480,    1623497637888,    631360192512,    154618822656,     21743271936,     1342177280;\n  8:  1099511627776,  10995116277760,  37108517437440,   65970697666560,   72155450572800,   51951924412416,  25254407700480,   8246337208320,   1739461754880,   214748364800,   11811160064;\n  9: 17592186044416, 193514046488576, 725677674332160, 1451355348664320, 1814194185830400, 1523923116097536, 888955151056896, 362838837166080, 102048422952960, 18897856102400, 2078764171264, 103079215104;\n","recurrence_sentence":"The row polynomials satisfy (2+(n+2)*x)*P(n,x) = (32+(16*n+64)*x+(8*n+24)*x^2)*P(n-1,x) for n >= 1, with P(0,x) = 256 + 512*x + 192*x^2.","mathematica":"P[0, x_] := 256 + 512*x + 192*x^2;\nP[n_, x_] := P[n, x] = Expand[Together[((32 + (16*n + 64)*x + (8*n + 24)*x^2)*P[n - 1, x])/(2 + (n + 2)*x)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 256 + 512*x + 192*x^2; for(n = 1, N, my(i = n + 1); v[i] = ((32 + (16*n + 64)*x + (8*n + 24)*x^2)*v[i - 1])/(2 + (n + 2)*x)); 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-a93042cd70c4761e","steps":["basis A013609","\u03b8+1"],"edges":["e-6efc8fa5932928ce","e-a3fc1ee28267f768"],"text":"A038330 \u2192 basis A013609 \u2192 \u03b8+1"},"headline":"A038330 \u2192 basis A013609 \u2192 \u03b8+1","chain":null}