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 A013096 cos(arcsinh(x)+tan(x))=1-4/2!*x^2+8/4!*x^4-214/6!*x^6+8632/8!*x^8... 0

%I

%S 1,-4,8,-214,8632,-381754,56522540,-6087452310,1458087413200,

%T -333863833250482,114840891055289940,-44663949601714088046,

%U 21870152705694370672888,-12543311598815172475041226

%N cos(arcsinh(x)+tan(x))=1-4/2!*x^2+8/4!*x^4-214/6!*x^6+8632/8!*x^8...

%F a(n) ~ (-1)^n * 2^(2*n) * n^(2*n-1) * sinh(Pi/2+tanh(1)) / exp(2*n). - _Vaclav Kotesovec_, Nov 01 2013

%t Table[n!*SeriesCoefficient[Cos[ArcSinh[x]+Tan[x]],{x,0,n}],{n,0,40,2}] (* _Vaclav Kotesovec_, Nov 01 2013 *)

%t With[{nn=30},Take[CoefficientList[Series[Cos[ArcSinh[x]+Tan[x]],{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, Jun 18 2017 *)

%K sign

%O 0,2

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

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Last modified March 30 14:19 EDT 2023. Contains 361622 sequences. (Running on oeis4.)