login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A091073
Number of transitive relations on n unlabeled points.
4
1, 2, 8, 39, 242, 1895, 19051, 246895, 4145108, 90325655, 2555630036, 93810648902, 4461086120602, 274339212258846, 21775814889230580, 2226876304576948549
OFFSET
0,2
COMMENTS
a(13)-a(15) are from Brinkmann's and McKay's paper. - Vladeta Jovovic, Jan 07 2006
LINKS
Gunnar Brinkmann and Brendan D. McKay, Counting unlabelled topologies and transitive relations.
Gunnar Brinkmann and Brendan D. McKay, Counting Unlabelled Topologies and Transitive Relations, Journal of Integer Sequences, Vol. 8 (2005), Article 05.2.1.
G. Pfeiffer, Counting Transitive Relations, preprint, 2004.
G. Pfeiffer, Counting Transitive Relations, Journal of Integer Sequences, Vol. 7 (2004), Article 04.3.2.
CROSSREFS
Cf. A079265 (antisymmetric transitive relations), A001930 (reflexive transitive relations), A000112 (partial orders), A006905 (labeled transitive relations).
Sequence in context: A308207 A307709 A217945 * A266468 A326963 A306781
KEYWORD
hard,nonn,nice
AUTHOR
Goetz Pfeiffer (goetz.pfeiffer(AT)nuigalway.ie), Jan 21 2004
EXTENSIONS
More terms from Vladeta Jovovic, Jan 07 2006
STATUS
approved