%I #8 Nov 21 2013 12:48:13
%S 2,9,61,550,6201,83894,1324177,23886552,484745029,10930266652,
%T 271107065043,7335664739264,215030576905171,6788059632853620,
%U 229590704738375917,8283076586956304128,317510426598228001881
%N E.g.f.: 1/(1-sinh(x)-x-x^2/2).
%F a(n) ~ n!/((cosh(r)+1+r)*r^(n+1)), where r = 0.4434887492889753... is the root of the equation r*(2+r)+2*sinh(r)=2. - _Vaclav Kotesovec_, Jun 27 2013
%t With[{nn=20},Rest[CoefficientList[Series[1/(1-Sinh[x]-x-x^2/2),{x,0,nn}], x]Range[0,nn]!]] (* _Harvey P. Dale_, May 21 2012 *)
%Y Cf. A006154, A088181.
%K nonn
%O 1,1
%A _Karol A. Penson_, Sep 22 2003