A027395 Number of labeled servers of dimension 8.

1, 8, 92, 1296, 21204, 391392, 7994736, 178242624, 4292944992, 110800827648, 3044857866624, 88617231585792, 2719329626619648, 87650060321746944, 2957815082168303616, 104203601012012802048, 3822969716887701993984

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(k=1..8, ((1+x)^k-1)/k ) ).

Mathematica

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

Crossrefs

Sequence in context: A194042 A231618 A346768 * A277307 A255520 A305967

Adjacent sequences: A027392 A027393 A027394 * A027396 A027397 A027398

Keyword

nonn

Author

Olivier Gérard

Status

approved