A009735 - OEIS

%I #12 Jan 23 2015 14:59:30

%S 0,1,2,5,8,21,48,377,1728,13129,61184,537965,3107840,34399197,

%T 235484928,2946509729,22794670080,323564702737,2824580218880,

%U 44888950379477,435346731352064,7640931012615717,81496599519363072

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

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

%t Tan[ x ]*Exp[ Sin[ x ] ]

%t CoefficientList[Series[E^Sin[x]*Tan[x], {x, 0, 20}], x] * Range[0, 20]! (* _Vaclav Kotesovec_, Jan 23 2015 *)

%K nonn,easy

%O 0,3

%A _R. H. Hardin_

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