|
Search: id:A006905
|
|
|
| A006905 |
|
Number of transitive relations on n labeled nodes.
(Formerly M2065)
|
|
+0
5
|
|
| 1, 2, 13, 171, 3994, 154303, 9415189, 878222530, 122207703623, 24890747921947, 7307450299510288, 3053521546333103057, 1797003559223770324237, 1476062693867019126073312, 1679239558149570229156802997, 2628225174143857306623695576671, 5626175867513779058707006016592954
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
REFERENCES
|
D. Ford and J. McKay, personal communication, 1991.
Klaska (1997), Transitivity and Partial Order, Mathematica Bohemica, 122 (1), 75-82. Based on a correspondence between transitive relations and partial orders, the author obtains a formula and calculates the first 14 terms - Jeff McSweeney (jmcsween(AT)mtsu.edu), May 13, 2000
|
|
LINKS
|
S. R. Finch, Transitive relations, topologies and partial orders
G. Pfeiffer, Counting Transitive Relations, Journal of Integer Sequences, Vol. 7 (2004), Article 04.3.2.
|
|
CROSSREFS
|
Cf. A000595, A001173. See A091073 for unlabeled case.
Sequence in context: A132521 A078363 A088316 this_sequence A119400 A137610 A073178
Adjacent sequences: A006902 A006903 A006904 this_sequence A006906 A006907 A006908
|
|
KEYWORD
|
nonn,nice
|
|
AUTHOR
|
Simon Plouffe, njas
|
|
EXTENSIONS
|
More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Mar 28 2003
2 more terms from Charles R. Greathouse IV Aug 30 2006
|
|
|
Search completed in 0.002 seconds
|
