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sec(tan(x)*arcsin(x))=1+12/4!*x^4+360/6!*x^6+24080/8!*x^8...
0

%I #6 Apr 21 2024 17:27:52

%S 1,0,12,360,24080,2520000,388466496,82494828416,23101056559360,

%T 8247662229497856,3656849221865495552,1971359917831265798144,

%U 1269841106398055675924480,963238435991748310206791680

%N sec(tan(x)*arcsin(x))=1+12/4!*x^4+360/6!*x^6+24080/8!*x^8...

%t With[{nn=30},Take[CoefficientList[Series[Sec[Tan[x]ArcSin[x]],{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, Apr 21 2024 *)

%K nonn

%O 0,3

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