OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..100
FORMULA
a(n) ~ (exp(-2)+1)^(1/4) * n^(n-1) / ((log(sqrt(1+exp(-2)) + exp(-1)) )^(n-1/2) * exp(n-1/2)).
MATHEMATICA
CoefficientList[Series[-LambertW[-Sinh[x]], {x, 0, 20}], x]*Range[0, 20]!
PROG
(PARI) x='x+('x^30); concat([0], Vec(serlaplace(-lambertw(-sinh(x))))) \\ G. C. Greubel, Feb 19 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Feb 17 2014
STATUS
approved