A238085 Expansion of e.g.f.: -LambertW(-sinh(x)).
0, 1, 2, 10, 72, 716, 9088, 140344, 2554240, 53540368, 1270296064, 33653698464, 984753299456, 31542901202112, 1097763264864256, 41247391653500800, 1664188908529156096, 71759140177774010624, 3293251384307726942208, 160272893566770148403712
Offset: 0
Keywords
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..100
Programs
-
Mathematica
CoefficientList[Series[-LambertW[-Sinh[x]],{x,0,20}],x]*Range[0,20]! -
PARI
x='x+('x^30); concat([0], Vec(serlaplace(-lambertw(-sinh(x))))) \\ G. C. Greubel, Feb 19 2018
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)).