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Number of labeled servers of dimension 14.
1

%I #14 Jun 01 2014 03:12:11

%S 1,14,287,7294,217049,7331702,275462383,11345500934,506714842193,

%T 24333314152798,1247903186686079,67963075644539726,

%U 3912399735781945513,237116383434817605446,15077800699956919811471

%N Number of labeled servers of dimension 14.

%H Vincenzo Librandi, <a href="/A027401/b027401.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( sum( ((1+x)^i-1)/i, i=1..14 ) ).

%t Table[n!*SeriesCoefficient[E^(Sum[((1+x)^i - 1)/i, {i, 1, 14}]), {x, 0, n}], {n, 0, 20}] (* _Vincenzo Librandi_, Dec 31 2012 *)

%K nonn

%O 0,2

%A _Olivier GĂ©rard_