A007007 - OEIS

%I M2361 #25 Sep 19 2017 10:17:38

%S 0,1,3,4,10,15,35,56,126,210,462,792,1716,3003,6435,11440,24310,43758,

%T 92378,167960,352716,646646,1352078,2496144,5200300,9657700,20058300,

%U 37442160,77558760,145422675,300540195,565722720,1166803110,2203961430

%N Valence of graph of maximal intersecting families of sets.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Jan C. Bioch and Toshihide Ibaraki, <a href="http://dx.doi.org/10.1109/71.466629">Generating and approximating nondominated coteries</a>, IEEE Transactions on parallel and distributed systems 6 (1995), 905-914.

%H D. E. Loeb and A. Meyerowitz, <a href="/A007007/a007007.pdf">The maximal intersecting family of sets graph</a>, in H. Barcelo and G. Kalai, editors, Proceedings of the Conference on Jerusalem Combinatorics 1993. AMS series Contemporary Mathematics, 1994.

%H A. Meyerowitz, <a href="http://dx.doi.org/10.1016/0195-6698(95)90004-7">Maximal intersecting families</a>, European J. Combin. 16 (1995), no. 5, 491-501.

%F Equals A037952 except for n=1 [Loeb & Meyerowitz, theorem 16]. - _Andrey Zabolotskiy_, Sep 19 2017

%Y Cf. A001206, A007006, A007008.

%K nonn,nice

%O 1,3

%A _Daniel E. Loeb_

%E More terms from _Andrey Zabolotskiy_, Sep 19 2017