A088189 - OEIS

%I #5 Jun 27 2013 05:43:36

%S 2,10,73,712,8681,127004,2167789,42287088,928006801,22628305012,

%T 606939739253,17759375280200,562952693773081,19217673118604172,

%U 702899000556953437,27422924828816762848,1136746326170994466337

%N E.g.f. : 1/(1-sinh(x)-x-x^2).

%F a(n) ~ n!/((cosh(r)+1+2*r)*r^(n+1)), where r = 0.41010884430143... is the root of the equation r+r^2+sinh(r)=1. - _Vaclav Kotesovec_, Jun 27 2013

%t CoefficientList[Series[1/(1-Sinh[x]-x-x^2), {x, 0, 20}], x]* Range[0, 20]! (* _Vaclav Kotesovec_, Jun 27 2013 *)

%Y Cf. A006154, A088181.

%K nonn

%O 0,1

%A _Karol A. Penson_, Sep 22 2003