%I #6 Jan 12 2016 10:58:59
%S 1,0,12,0,17360,-241920,186158016,-11413642240,7726026430720,
%T -1212323504480256,892608906281741312,-274005660019568705536,
%U 234514059257417538031616,-119571044071522301122641920
%N sec(arctan(x)*tan(x))=1+12/4!*x^4+17360/8!*x^8-241920/10!*x^10...
%t With[{nn=30},Take[CoefficientList[Series[Sec[ArcTan[x]Tan[x]],{x,0,nn}], x] Range[0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, Jan 12 2016 *)
%K sign
%O 0,3
%A Patrick Demichel (patrick.demichel(AT)hp.com)