OFFSET
0,2
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..410
FORMULA
In Maple notation, a(0)=1, a(n)= sum(stirling2(n, k)*k!*LaguerreL(k, -1), k=1..n), n=1, 2... . E.g.f.: exp((exp(x)-1)/(2-exp(x)))/(2-exp(x))
a(n) ~ exp(1/(4*log(2)) - 3/4 + sqrt(2*n/log(2)) - n) * n^(n + 1/4) / (2^(5/4) * (log(2))^(n + 3/4)). - Vaclav Kotesovec, Nov 13 2017
MATHEMATICA
Flatten[{1, Table[Sum[StirlingS2[n, k]*k!*LaguerreL[k, -1], {k, 1, n}], {n, 1, 20}]}] (* Vaclav Kotesovec, Nov 13 2017 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Karol A. Penson, Apr 22 2002
STATUS
approved