OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..365
N. J. A. Sloane, Transforms
Martin Svatoš, Peter Jung, Jan Tóth, Yuyi Wang, and Ondřej Kuželka, On Discovering Interesting Combinatorial Integer Sequences, arXiv:2302.04606 [cs.LO], 2023, p. 17.
FORMULA
a(n) = A290824(n,n).
a(n) ~ exp(1/2 + n*exp(-1)) * n^n / sqrt(exp(1)-1). - Vaclav Kotesovec, Oct 06 2017
a(n) = Sum_{k=0..n} binomial(n,k)*n^(n-k)*k^k. - Fabian Pereyra, Jul 16 2024
E.g.f.: 1/((1+LambertW(-x))*(1+LambertW(LambertW(-x)))). - Fabian Pereyra, Jul 19 2024
MATHEMATICA
Table[n! * SeriesCoefficient[Exp[n*x]/(1 + LambertW[-x]), {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 06 2017 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Aug 12 2017
STATUS
approved