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%I #8 Nov 01 2013 11:17:00
%S 1,2,4,6,0,-38,-96,182,896,-7118,9344,828102,-1723392,-107900726,
%T 271324928,18234006902,-59548864512,-4075490338462,16721045069824,
%U 1171273052028934,-5792347300708352,-420782912153339462
%N exp(arcsinh(x)+sin(x))=1+2*x+4/2!*x^2+6/3!*x^3-38/5!*x^5-96/6!*x^6...
%F E.g.f.: (x+sqrt(1+x^2))*exp(sin(x)). - _Vaclav Kotesovec_, Nov 01 2013
%F a(n) ~ -2 * cos(Pi*n/2 - sinh(1)) * n^(n-1) / exp(n). - _Vaclav Kotesovec_, Nov 01 2013
%t CoefficientList[Series[Exp[ArcSinh[x]+Sin[x]], {x, 0, 20}], x]* Range[0, 20]! (* _Vaclav Kotesovec_, Nov 01 2013 *)
%K sign
%O 0,2
%A Patrick Demichel (patrick.demichel(AT)hp.com)