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Number of labeled servers of dimension 8.
1

%I #16 Jun 01 2014 02:15:41

%S 1,8,92,1296,21204,391392,7994736,178242624,4292944992,110800827648,

%T 3044857866624,88617231585792,2719329626619648,87650060321746944,

%U 2957815082168303616,104203601012012802048,3822969716887701993984

%N Number of labeled servers of dimension 8.

%H Vincenzo Librandi, <a href="/A027395/b027395.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(k=1..8, ((1+x)^k-1)/k ) ).

%t Table[n!*SeriesCoefficient[E^(Sum[((1 + x)^i - 1)/i, {i, 1, 8}]), {x, 0, n}], {n, 0, 20}] (* _Vincenzo Librandi_, Dec 31 2012 *)

%K nonn

%O 0,2

%A _Olivier GĂ©rard_