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cos(arcsinh(x)+arctan(x))=1-4/2!*x^2+40/4!*x^4-1030/6!*x^6+51160/8!*x^8...
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%I #6 Apr 26 2013 18:10:44

%S 1,-4,40,-1030,51160,-4176250,507867100,-86130937750,19429666282000,

%T -5626346310003250,2034312191276462500,-898279284686285368750,

%U 475692945053706430375000,-297573010648301986578906250

%N cos(arcsinh(x)+arctan(x))=1-4/2!*x^2+40/4!*x^4-1030/6!*x^6+51160/8!*x^8...

%t With[{nn=30},Take[CoefficientList[Series[Cos[ArcSinh[x]+ArcTan[x]],{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, Apr 26 2013 *)

%K sign

%O 0,2

%A Patrick Demichel (patrick.demichel(AT)hp.com)