OFFSET
0,3
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..385
FORMULA
a(n) ~ sinh(exp(-1)) * n^n.
MATHEMATICA
CoefficientList[Series[Sinh[x]/(1+LambertW[-x]), {x, 0, 25}], x] * Range[0, 25]!
Table[(1-(-1)^n + Sum[(1-(-1)^(n-k)) * Binomial[n, k] * k^k, {k, 1, n}])/2, {n, 0, 25}]
PROG
(PARI) x='x+O('x^50); concat([0], Vec(serlaplace(sinh(x)/(1 + lambertw(-x))))) \\ G. C. Greubel, Nov 05 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Oct 16 2016
STATUS
approved