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A009796 Expansion of tanh(sin(x))*tan(x). 1

%I #15 Apr 02 2017 12:31:43

%S 0,2,-4,198,-4488,365834,-26333836,3548101326,-521011775760,

%T 109600356362258,-26637313430995732,8227982193974569686,

%U -2954555247298219357848,1270556471466981784144154

%N Expansion of tanh(sin(x))*tan(x).

%F a(n) ~ (2*n)! * (-1)^(n+1) * 4 * Pi / ((4 + Pi^2) * (log((Pi + sqrt(4 + Pi^2))/2))^(2*n+1)). - _Vaclav Kotesovec_, Jan 24 2015

%t Tanh[ Sin[ x ] ]*Tan[ x ] (* Even Part *)

%t nn = 20; Table[(CoefficientList[Series[Tan[x]*Tanh[Sin[x]], {x, 0, 2*nn}], x] * Range[0, 2*nn]!)[[n]], {n, 1, 2*nn+1, 2}] (* _Vaclav Kotesovec_, Jan 24 2015 *)

%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 May 9 08:36 EDT 2024. Contains 372346 sequences. (Running on oeis4.)