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A013094 tan(arcsinh(x)+tan(x))=2*x+17/3!*x^3+617/5!*x^5+48303/7!*x^7... 1

%I #10 Nov 01 2013 12:47:52

%S 2,17,617,48303,6522881,1347329463,394859190065,155788454490063,

%T 79615692221453953,51158770289333605479,40370803594653993695153,

%U 38380940325618664357898303,43267817873570429233783437313

%N tan(arcsinh(x)+tan(x))=2*x+17/3!*x^3+617/5!*x^5+48303/7!*x^7...

%H Vaclav Kotesovec, <a href="/A013094/b013094.txt">Table of n, a(n) for n = 0..200</a>

%F Limit n->infinity (a(n)/(2*n+1)!)^(1/(2*n+1)) = 1.37072091851392158... - _Vaclav Kotesovec_, Nov 01 2013

%t With[{nn=30},Take[CoefficientList[Series[Tan[ArcSinh[x]+Tan[x]],{x,0,nn}],x] Range[ 0,nn-1]!,{2,-1,2}]] (* _Harvey P. Dale_, May 01 2013 *)

%K nonn

%O 0,1

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

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Last modified December 1 18:36 EST 2023. Contains 367500 sequences. (Running on oeis4.)