A027392 - OEIS

%I #13 Jun 01 2014 02:14:22

%S 1,5,35,295,2855,30899,367345,4736765,65621105,969466645,15182851451,

%T 250823689055,4352985062935,79083190500995,1499493878690105,

%U 29595296385870949,606610493947464545,12885821188298643365

%N Number of labeled servers of dimension 5.

%H Vincenzo Librandi, <a href="/A027392/b027392.txt">Table of n, a(n) for n = 0..200</a>

%H R. Donaghey, <a href="http://dx.doi.org/10.1016/0097-3165(76)90060-1">Binomial self-inverse sequences and tangent coefficients</a>, J. Combin. Theory, Series A, 21 (1976), 155-163.

%F E.g.f.: exp( (x*(300 + 300*x + 200*x^2 + 75*x^3 + 12*x^4))/60 ).

%t Table[n!*SeriesCoefficient[E^((x * (300 + 300 * x + 200 * x^2 + 75 * x^3 + 12 * x^4))/60), {x, 0, n}], {n, 0, 20}] (* _Vincenzo Librandi_, Dec 31 2012 *)

%K nonn

%O 0,2

%A _Olivier Gérard_