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%I #6 Oct 09 2017 11:15:09
%S 1,1,5,109,3177,227961,15773229,2521786149,294715261521,
%T 91106569198449,14283819393505749,8353531761471301725,
%U 1366332291998753348025,1671117489759750577634025,171277162439935833445571325,660477991317304143815464418325
%N sec(arcsin(arcsinh(x)))=1+1/2!*x^2+5/4!*x^4+109/6!*x^6+3177/8!*x^8...
%t With[{nn=30},Take[CoefficientList[Series[Sec[ArcSin[ArcSinh[x]]],{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, Oct 09 2017 *)
%K nonn
%O 0,3
%A Patrick Demichel (patrick.demichel(AT)hp.com)
%E More terms from _Harvey P. Dale_, Oct 09 2017