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sech(arcsin(x)-arctan(x))=1-90/6!*x^6+2520/8!*x^8-368550/10!*x^10...
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%I #6 Mar 22 2023 17:52:04

%S 1,0,0,-90,2520,-368550,36798300,-8485126650,1746971226000,

%T -623950950372750,216093789514102500,-111905269600936061250,

%U 58297381976449590975000,-41488228251938936311593750

%N sech(arcsin(x)-arctan(x))=1-90/6!*x^6+2520/8!*x^8-368550/10!*x^10...

%t With[{nn=30},Take[CoefficientList[Series[Sech[ArcSin[x]-ArcTan[x]],{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, Mar 22 2023 *)

%K sign

%O 0,4

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