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A012635 sin(arcsinh(x)*cos(x))=x-5/3!*x^3+65/5!*x^5-2221/7!*x^7+119873/9!*x^9... 0

%I

%S 1,-5,65,-2221,119873,-9786229,1171166529,-194493711517,

%T 42939774236801,-12195226930738277,4336542878659585857,

%U -1888009822588324263693,987916087242245073188545

%N sin(arcsinh(x)*cos(x))=x-5/3!*x^3+65/5!*x^5-2221/7!*x^7+119873/9!*x^9...

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

%t Table[n!*SeriesCoefficient[Sin[ArcSinh[x]*Cos[x]],{x,0,n}],{n,1,41,2}] (* _Vaclav Kotesovec_, Nov 01 2013 *)

%K sign

%O 0,2

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

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Last modified May 25 02:26 EDT 2022. Contains 354047 sequences. (Running on oeis4.)