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475136,  12386304,  149094400,  1097334784,   5510529024,   19942866944,   53530853376,   107961384960,   163741433856,    184733925376,    151145938944,     85496692736,     30534533120,      5637144576,       268435456;\n  8: 2162688,  65011712,  912261120,  7927234560,  47710208000,  210688278528,  705347715072,  1823347834880,  3670687088640,   5757940531200,   6986301177856,   6448893394944,   4396972769280,   2104533975040,    644245094400,   103079215104,     4294967296;\n  9: 9699328, 330301440, 5294260224, 53049556992, 372202536960, 1940587020288, 7786305945600, 24560233611264, 61667543089152, 123987652771840, 199685377622016, 256280698552320, 259128261869568, 202396038856704, 118283399331840, 49065706389504, 13142599925760, 1855425871872, 68719476736;\n","recurrence_sentence":"The row polynomials satisfy (4*n-3+2*x)*P(n,x) = (16*n+4+(64*n+24)*x+(64*n+48)*x^2+32*x^3)*P(n-1,x) for n >= 1, with P(0,x) = 1.","mathematica":"P[0, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[Together[((16*n + 4 + (64*n + 24)*x + (64*n + 48)*x^2 + 32*x^3)*P[n - 1, x])/(4*n - 3 + 2*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] = ((16*n + 4 + (64*n + 24)*x + (64*n + 48)*x^2 + 32*x^3)*v[i - 1])/(4*n - 3 + 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-08f49539099949d5","steps":["basis A013611","D+1"],"edges":["e-a6b5412d61e1c4e3","e-a7ee18b63f9c9ca5"],"text":"A034870 \u2192 basis A013611 \u2192 D+1"},"headline":"A034870 \u2192 basis A013611 \u2192 D+1","chain":null}