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A009044 Expansion of cos(sin(x))/cosh(x), even terms only. 1

%I #17 Jul 24 2018 02:58:22

%S 1,-2,16,-248,6336,-244480,13409408,-999327488,97590304768,

%T -12120423043072,1867576863899648,-349745166753398784,

%U 78248003933970006016,-20613585750577859067904,6315933020629432945606656

%N Expansion of cos(sin(x))/cosh(x), even terms only.

%H G. C. Greubel, <a href="/A009044/b009044.txt">Table of n, a(n) for n = 0..242</a>

%F a(n) ~ (2*n)! * (-1)^n * cosh(sinh(Pi/2)) * 4^(n+1) / Pi^(2*n+1). - _Vaclav Kotesovec_, Jan 22 2015

%t nn = 20; Table[(CoefficientList[Series[Cos[Sin[x]]*Sech[x], {x, 0, 2*nn}], x] * Range[0, 2*nn]!)[[n]], {n, 1, 2*nn+1, 2}] (* _Vaclav Kotesovec_, Jan 22 2015 *)

%o (PARI) x='x+O('x^50); v=Vec(serlaplace(cos(sin(x))/cosh(x))); vector(#v\2,n,v[2*n-1]) \\ _G. C. Greubel_, Jul 23 2018

%K sign

%O 0,2

%A _R. H. Hardin_

%E Extended with signs by _Olivier GĂ©rard_, Mar 15 1997

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Last modified April 19 11:31 EDT 2024. Contains 371792 sequences. (Running on oeis4.)