A092918 Number of connected hypergraphs (without multiple edges and without empty edges) on n labeled vertices.

2, 4, 96, 31840, 2147156736, 9223372011084915712, 170141183460469231602560095199828453376, 57896044618658097711785492504343953923912733397452774312021795134847892828160

Offset

1,1

Links

Table of n, a(n) for n=1..8.

Goran Kilibarda and Vladeta Jovovic, Enumeration of some classes of T_0-hypergraphs, arXiv:1411.4187 [math.CO], 2014.

Formula

E.g.f.: log(Sum(2^(2^n-1)*x^n/n!, n=0..infinity)).

Crossrefs

Sequence in context: A007534 A299784 A009379 * A018428 A128773 A101068

Adjacent sequences: A092915 A092916 A092917 * A092919 A092920 A092921

Keyword

nonn

Author

Goran Kilibarda and Vladeta Jovovic, Apr 16 2004

Status

approved