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arctan(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4-112/6!*x^6-8832/8!*x^8...
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%I #6 Sep 16 2019 18:04:35

%S 2,8,-112,-8832,-27648,71731200,8459581440,-999488716800,

%T -609228538183680,-30947990077440000,82287312014325841920,

%U 35793618716907672698880,-9141042424973375790120960

%N arctan(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4-112/6!*x^6-8832/8!*x^8...

%t With[{nn=30},Take[CoefficientList[Series[ArcTan[ArcSin[x]^2],{x,0,nn}],x] Range[0,nn]!,{3,-1,2}]] (* _Harvey P. Dale_, Sep 16 2019 *)

%K sign

%O 0,1

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