A027401 Number of labeled servers of dimension 14.

1, 14, 287, 7294, 217049, 7331702, 275462383, 11345500934, 506714842193, 24333314152798, 1247903186686079, 67963075644539726, 3912399735781945513, 237116383434817605446, 15077800699956919811471

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

R. Donaghey, Binomial self-inverse sequences and tangent coefficients, J. Combin. Theory, Series A, 21 (1976), 155-163.

Formula

E.g.f.: exp( sum( ((1+x)^i-1)/i, i=1..14 ) ).

Mathematica

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

Crossrefs

Sequence in context: A053101 A205746 A281607 * A259432 A233069 A181192

Adjacent sequences: A027398 A027399 A027400 * A027402 A027403 A027404

Keyword

nonn

Author

Olivier Gérard

Status

approved