A009735 Expansion of tan(x)*exp(sin(x)).

0, 1, 2, 5, 8, 21, 48, 377, 1728, 13129, 61184, 537965, 3107840, 34399197, 235484928, 2946509729, 22794670080, 323564702737, 2824580218880, 44888950379477, 435346731352064, 7640931012615717, 81496599519363072

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Formula

a(n) ~ n! * ((-1)^(n+1)*exp(-1) + exp(1)) * (2/Pi)^(n+1). - Vaclav Kotesovec, Jan 23 2015

Mathematica

Tan[ x ]*Exp[ Sin[ x ] ]
CoefficientList[Series[E^Sin[x]*Tan[x], {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jan 23 2015 *)

Crossrefs

Sequence in context: A121568 A276464 A001005 * A177245 A283511 A137095

Adjacent sequences: A009732 A009733 A009734 * A009736 A009737 A009738

Keyword

nonn,easy

Author

R. H. Hardin

Extensions

Extended and signs tested Mar 15 1997 by Olivier Gérard.

Status

approved