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E.g.f.: 1/(1-sinh(x)-x).
2

%I #8 Jun 08 2021 06:41:57

%S 1,2,8,49,400,4081,49964,713665,11649936,213946513,4365604372,

%T 97988751433,2399366732888,63647177397961,1818219651069852,

%U 55651486523443537,1816920458689600288,63026617425620098465

%N E.g.f.: 1/(1-sinh(x)-x).

%F a(n) ~ n! / ((cosh(r)+1) * r^(n+1)), where r = 0.49007306848054777421543028443773199472978824305677445770838... is the root of the equation 2*(r-1)*exp(r)+exp(2*r) = 1. - _Vaclav Kotesovec_, Jun 08 2021

%t With[{nn=20},CoefficientList[Series[1/(1-Sinh[x]-x),{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Apr 10 2014 *)

%Y Cf. A006154.

%K nonn

%O 0,2

%A _Karol A. Penson_, Sep 22 2003

%E First term prepended and offset changed by _Harvey P. Dale_, Apr 10 2014