A367181 E.g.f. satisfies A(x) = 1 + (exp(x*A(x)^3) - 1)/A(x)^2.
1, 1, 3, 22, 261, 4186, 85035, 2096242, 60793257, 2028053146, 76512294567, 3221179205410, 149713378082301, 7614267616582810, 420634056602820099, 25081994054279063506, 1605673188973569254481, 109838361160586478627226, 7995918540574019507985471
Offset: 0
Keywords
Links
- Seiichi Manyama, Table of n, a(n) for n = 0..362
Programs
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PARI
a(n) = sum(k=0, n, (3*n-2*k)!/(3*n-3*k+1)!*stirling(n, k, 2));
Formula
a(n) = Sum_{k=0..n} (3*n-2*k)!/(3*n-3*k+1)! * Stirling2(n,k).