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A238085
Expansion of e.g.f.: -LambertW(-sinh(x)).
5
0, 1, 2, 10, 72, 716, 9088, 140344, 2554240, 53540368, 1270296064, 33653698464, 984753299456, 31542901202112, 1097763264864256, 41247391653500800, 1664188908529156096, 71759140177774010624, 3293251384307726942208, 160272893566770148403712
OFFSET
0,3
LINKS
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