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arcsinh(arctanh(x)*sin(x))=2/2!*x^2+4/4!*x^4-10/6!*x^6+1160/8!*x^8...
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%I #6 Jun 16 2013 12:10:07

%S 2,4,-10,1160,267178,25749260,1675836318,292637394192,163260945099858,

%T 64904840292491284,19017877552509443654,7018293499345186438552,

%U 5539610614858975449636346

%N arcsinh(arctanh(x)*sin(x))=2/2!*x^2+4/4!*x^4-10/6!*x^6+1160/8!*x^8...

%t With[{nn=30},Take[CoefficientList[Series[ArcSinh[ArcTanh[x]Sin[x]],{x,0,nn}],x] Range[0,nn]!,{3,-1,2}]] (* _Harvey P. Dale_, Jun 16 2013 *)

%K sign

%O 0,1

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