A009741 Expansion of tan(x)*sin(sinh(x)).

0, 2, 8, 48, 832, 34304, 1992704, 149382912, 14491045888, 1792468533248, 275860960329728, 51650706246205440, 11555611726669152256, 3044203421408056377344, 932732257836665756450816

Offset

0,2

Links

Table of n, a(n) for n=0..14.

Formula

a(n) ~ (2*n)! * 4^(n+1) * sin(sinh(Pi/2)) / Pi^(2*n+1). - Vaclav Kotesovec, Jan 23 2015

Mathematica

Tan[ x ]*Sin[ Sinh[ x ] ] (* Even Part *)
nn = 20; Table[(CoefficientList[Series[Sin[Sinh[x]]*Tan[x], {x, 0, 2*nn}], x] * Range[0, 2*nn]!)[[n]], {n, 1, 2*nn+1, 2}] (* Vaclav Kotesovec, Jan 23 2015 *)

Crossrefs

Sequence in context: A192411 A179563 A079802 * A322309 A009745 A009751

Adjacent sequences: A009738 A009739 A009740 * A009742 A009743 A009744

Keyword

nonn

Author

R. H. Hardin

Extensions

Extended and signs tested Mar 15 1997 by Olivier Gérard.

Status

approved