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%I #20 Mar 12 2024 02:42:11
%S 0,1,2,10,72,716,9088,140344,2554240,53540368,1270296064,33653698464,
%T 984753299456,31542901202112,1097763264864256,41247391653500800,
%U 1664188908529156096,71759140177774010624,3293251384307726942208,160272893566770148403712
%N Expansion of e.g.f.: -LambertW(-sinh(x)).
%H Vincenzo Librandi, <a href="/A238085/b238085.txt">Table of n, a(n) for n = 0..100</a>
%F a(n) ~ (exp(-2)+1)^(1/4) * n^(n-1) / ((log(sqrt(1+exp(-2)) + exp(-1)) )^(n-1/2) * exp(n-1/2)).
%t CoefficientList[Series[-LambertW[-Sinh[x]],{x,0,20}],x]*Range[0,20]!
%o (PARI) x='x+('x^30); concat([0], Vec(serlaplace(-lambertw(-sinh(x))))) \\ _G. C. Greubel_, Feb 19 2018
%Y Cf. A219503, A214654, A274279, A277463, A277476.
%K nonn
%O 0,3
%A _Vaclav Kotesovec_, Feb 17 2014
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