%I #6 Jan 12 2017 14:56:21

%S 1,5,93,4545,443065,72439325,17846988885,6173626900441,

%T 2852644920170097,1696726612682937781,1262481961197490093645,

%U 1148731484660194718055025,1254736888520332652127806761

%N arcsin(sec(x)*arcsin(x))=x+5/3!*x^3+93/5!*x^5+4545/7!*x^7+443065/9!*x^9...

%t With[{nn=30},Take[CoefficientList[Series[ArcSin[Sec[x]ArcSin[x]],{x,0,nn}],x] Range[0,nn-1]!,{2,-1,2}]] (* _Harvey P. Dale_, Jan 12 2017 *)

%K nonn

%O 0,2

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