A379912 E.g.f. A(x) satisfies A(x) = 1/(exp(-x*A(x)^3) - x*A(x)).
1, 2, 23, 541, 19585, 962901, 59969227, 4526706661, 401724516641, 40994441922169, 4729721311570411, 608827327842480825, 86507217246635276065, 13448830748996370988885, 2270847762050485928361227, 413849998079530364443224781, 80967576778854924208520130241
Offset: 0
Keywords
Links
- Seiichi Manyama, Table of n, a(n) for n = 0..314
Programs
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PARI
a(n) = n!*sum(k=0, n, (2*n+k+1)^(k-1)*binomial(2*n+k+1, n-k)/k!);
Formula
a(n) = n! * Sum_{k=0..n} (2*n+k+1)^(k-1) * binomial(2*n+k+1,n-k)/k!.