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A012035 sin(sin(arcsinh(x))) = x-3/3!*x^3+41/5!*x^5-1291/7!*x^7+73169/9!*x^9... 0

%I #9 Oct 30 2013 16:56:58

%S 1,-3,41,-1291,73169,-6551251,852920953,-152425617371,35839758063521,

%T -10733139641944739,3990221478883366601,-1803635523024068325803,

%U 974372554797510153337201

%N sin(sin(arcsinh(x))) = x-3/3!*x^3+41/5!*x^5-1291/7!*x^7+73169/9!*x^9...

%F a(n) ~ (-1)^n * 2^(2*n+1) * n^(2*n) * cosh(sinh(Pi/2)) * cosh(Pi/2) / exp(2*n). - _Vaclav Kotesovec_, Oct 30 2013

%t Table[n!*SeriesCoefficient[Sin[Sin[ArcSinh[x]]],{x,0,n}],{n,1,40,2}] (* _Vaclav Kotesovec_, Oct 30 2013 *)

%K sign

%O 0,2

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

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Last modified April 25 05:49 EDT 2024. Contains 371964 sequences. (Running on oeis4.)