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sech(tan(x)*sin(x))=1-12/4!*x^4-120/6!*x^6+4368/8!*x^8...
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%I #6 Jan 31 2016 09:39:25

%S 1,0,-12,-120,4368,327360,-762432,-2379861120,-176278202112,

%T 34929443235840,10554181240931328,-234919154252175360,

%U -852275452306594394112,-157606057918154970808320

%N sech(tan(x)*sin(x))=1-12/4!*x^4-120/6!*x^6+4368/8!*x^8...

%t With[{nn=30},Take[CoefficientList[Series[Sech[Tan[x]Sin[x]],{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, Jan 31 2016 *)

%K sign

%O 0,3

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