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arctan(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4-82/6!*x^6+3096/8!*x^8...
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%I #6 Nov 05 2014 08:12:17

%S 2,-4,-82,3096,256122,-30668460,856747110,523284711600,39637940511090,

%T -50848285138290900,19464791037179683230,1825136551296140381640,

%U 99500526939660052179690,-1613956014788908960338116220,2918159856709476758087519928150

%N arctan(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4-82/6!*x^6+3096/8!*x^8...

%t With[{nn=30},Take[CoefficientList[Series[ArcTan[ArcTan[x]ArcSin[x]],{x,0,nn}],x] Range[0,nn]!,{3,-1,2}]] (* _Harvey P. Dale_, Nov 05 2014 *)

%K sign

%O 0,1

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

%E Definition clarified by and more terms from _Harvey P. Dale_, Nov 05 2014