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E.g.f.: 1/(1-sinh(x)-x-x^2/2).
0

%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