A365011 E.g.f. satisfies A(x) = 1 + x*exp(-x)*A(x)^4.
1, 1, 6, 87, 1964, 60325, 2349114, 110922091, 6159510552, 393373489257, 28407518470070, 2289019332293551, 203608076603605860, 19816972252710998989, 2094926215725519979698, 239037380421621120397395, 29281119335188021375533104, 3832665229749097186190010193
Offset: 0
Keywords
Programs
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PARI
a(n) = n!*sum(k=0, n, (-k)^(n-k)*binomial(4*k, k)/((3*k+1)*(n-k)!));
Formula
a(n) = n! * Sum_{k=0..n} (-k)^(n-k) * A002293(k)/(n-k)!.