%I #12 Jan 23 2015 14:35:50

%S 0,2,12,358,19352,1709194,222722596,40122780142,9543330683696,

%T 2895895566420498,1091590070839432764,500335689476146083190,

%U 274027979513688992336584,176734166480671985581245594

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

%F a(n) ~ (2*n)! * 8 * Pi / ((4+Pi^2)^(3/2) * arctan(Pi/2)^(2*n+1)). - _Vaclav Kotesovec_, Jan 23 2015

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

%t nn = 20; Table[(CoefficientList[Series[Sin[x]*Tan[Tan[x]], {x, 0, 2*nn}], x] * Range[0, 2*nn]!)[[n]], {n, 1, 2*nn+1, 2}] (* _Vaclav Kotesovec_, Jan 23 2015 *)

%K nonn

%O 0,2

%A _R. H. Hardin_

%E Extended and signs tested Mar 15 1997 by _Olivier Gérard_.