A364763 G.f. satisfies A(x) = 1 / (1 + x*(1 + x*A(x))^5).
1, -1, -4, 4, 51, -6, -770, -694, 12363, 25583, -198824, -701944, 3049603, 17238467, -41348631, -396817391, 391720363, 8689985437, 1902247845, -181526287908, -253530149234, 3597968506523, 9727546141524, -66671292054788, -291760189535999, 1116731578365699
Offset: 0
Keywords
Programs
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PARI
a(n) = sum(k=0, n, (-1)^k*binomial(n+1, k)*binomial(5*k, n-k))/(n+1);
Formula
a(n) = (1/(n+1)) * Sum_{k=0..n} (-1)^k * binomial(n+1,k) * binomial(5*k,n-k).