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Number of labeled servers of dimension 19.
1

%I #14 Jun 01 2014 10:08:28

%S 1,19,532,18544,758974,35337226,1833202384,104409838312,6456768305884,

%T 429818796312724,30587559391254736,2313781261593170464,

%U 185160727825248627112,15612253234853491025464

%N Number of labeled servers of dimension 19.

%H Vincenzo Librandi, <a href="/A027406/b027406.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..19 ) ).

%t Table[n!*SeriesCoefficient[E^(Sum[((1+x)^i - 1)/i, {i, 1, 19}]), {x, 0, n}], {n, 0, 20}] (* _Vincenzo Librandi_, Jan 01 2013 *)

%K nonn

%O 0,2

%A _Olivier GĂ©rard_