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A007007 Valence of graph of maximal intersecting families of sets.
(Formerly M2361)
4
0, 1, 3, 4, 10, 15, 35, 56, 126, 210, 462, 792, 1716, 3003, 6435, 11440, 24310, 43758, 92378, 167960, 352716, 646646, 1352078, 2496144, 5200300, 9657700, 20058300, 37442160, 77558760, 145422675, 300540195, 565722720, 1166803110, 2203961430 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Jan C. Bioch and Toshihide Ibaraki, Generating and approximating nondominated coteries, IEEE Transactions on parallel and distributed systems 6 (1995), 905-914.
D. E. Loeb and A. Meyerowitz, The maximal intersecting family of sets graph, in H. Barcelo and G. Kalai, editors, Proceedings of the Conference on Jerusalem Combinatorics 1993. AMS series Contemporary Mathematics, 1994.
A. Meyerowitz, Maximal intersecting families, European J. Combin. 16 (1995), no. 5, 491-501.
FORMULA
Equals A037952 except for n=1 [Loeb & Meyerowitz, theorem 16]. - Andrey Zabolotskiy, Sep 19 2017
CROSSREFS
Sequence in context: A054184 A307057 A188022 * A037952 A281903 A093512
KEYWORD
nonn,nice
AUTHOR
EXTENSIONS
More terms from Andrey Zabolotskiy, Sep 19 2017
STATUS
approved

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Last modified March 19 01:22 EDT 2024. Contains 370952 sequences. (Running on oeis4.)