A088181 E.g.f.: 1/(1-sinh(x)-x).

1, 2, 8, 49, 400, 4081, 49964, 713665, 11649936, 213946513, 4365604372, 97988751433, 2399366732888, 63647177397961, 1818219651069852, 55651486523443537, 1816920458689600288, 63026617425620098465

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Formula

a(n) ~ n! / ((cosh(r)+1) * r^(n+1)), where r = 0.49007306848054777421543028443773199472978824305677445770838... is the root of the equation 2*(r-1)*exp(r)+exp(2*r) = 1. - Vaclav Kotesovec, Jun 08 2021

Mathematica

With[{nn=20}, CoefficientList[Series[1/(1-Sinh[x]-x), {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Apr 10 2014 *)

Crossrefs

Cf. A006154.

Sequence in context: A364592 A183070 A032116 * A058864 A332237 A136226

Adjacent sequences: A088178 A088179 A088180 * A088182 A088183 A088184

Keyword

nonn

Author

Karol A. Penson, Sep 22 2003

Extensions

First term prepended and offset changed by Harvey P. Dale, Apr 10 2014

Status

approved