A012332 - OEIS

%I #6 Jun 04 2021 15:17:07

%S 1,0,-12,0,-560,-120960,-8243136,-1217216000,-240101205760,

%T -60353491365888,-19412164057951232,-7711037038987132928,

%U -3710008156348784881664,-2126287045304329433743360

%N cos(arcsin(x)*sin(x))=1-12/4!*x^4-560/8!*x^8-120960/10!*x^10...

%t With[{nn=30},Take[CoefficientList[Series[Cos[ArcSin[x]Sin[x]],{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, Jun 04 2021 *)

%K sign

%O 0,3

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