%I #6 Apr 08 2018 21:20:56
%S 1,-1,9,-249,11953,-992401,115133433,-19289685193,4104153335777,
%T -1154213252748193,390283459641717353,-165544701587974757145,
%U 81456402896849322863505,-48584594120969426596224305
%N sech(arctan(arcsin(x)))=1-1/2!*x^2+9/4!*x^4-249/6!*x^6+11953/8!*x^8...
%t With[{nn=30},Take[CoefficientList[Series[Sech[ArcTan[ArcSin[x]]],{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, Apr 08 2018 *)
%K sign
%O 0,3
%A Patrick Demichel (patrick.demichel(AT)hp.com)