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sec(arcsinh(x)*arcsin(x)) = 1+12/4!*x^4+13328/8!*x^8+117619392/12!*x^12...
0

%I #8 Nov 21 2013 12:46:01

%S 1,12,13328,117619392,4062867095808,388601301012237312,

%T 83771183547685073326080,35504181228757953494366208000,

%U 26841389346007019483917993990225920,33654478025536204699103406849552997416960,66134661422427811384963352725241987600886005760

%N sec(arcsinh(x)*arcsin(x)) = 1+12/4!*x^4+13328/8!*x^8+117619392/12!*x^12...

%t With[{nn=40},Take[CoefficientList[Series[Sec[ArcSinh[x]ArcSin[x]],{x,0,nn}], x]Range[0,nn]!,{1,-1,4}]] (* _Harvey P. Dale_, Apr 09 2012 *)

%K nonn

%O 0,2

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

%E More terms from Harvey P. Dale, Apr 09 2012