cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A260813 Number of trivalent bipartite connected simple graphs with 2n nodes and girth at least 8.

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%I A260813 #24 Jun 03 2023 12:02:07
%S A260813 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,3,10,101,2510,79605,2607595,
%T A260813 81716416,2472710752
%N A260813 Number of trivalent bipartite connected simple graphs with 2n nodes and girth at least 8.
%C A260813 The null graph on 0 vertices is vacuously connected, 3-regular, and bipartite; since it is acyclic, it has infinite girth.
%H A260813 G. Brinkmann, <a href="http://dx.doi.org/10.1002/(SICI)1097-0118(199610)23:2&lt;139::AID-JGT5&gt;3.0.CO;2-U">Fast generation of cubic graphs</a>, Journal of Graph Theory, 23(2):139-149, 1996.
%H A260813 G. Brinkmann, J. Goedgebeur and B.D. McKay, <a href="https://arxiv.org/abs/2101.00943">The Minimality of the Georges-Kelmans Graph</a>, arXiv:2101.00943 [math.CO], 2021.
%H A260813 House of Graphs, <a href="https://houseofgraphs.org/meta-directory/cubic#cubic_bipartite">Cubic bipartite graphs</a>
%Y A260813 Connected 3-regular simple graphs with girth at least g: A185131 (triangle); chosen g: A002851 (g=3), A014371 (g=4), A014372 (g=5), A014374 (g=6), A014375 (g=7), A014376 (g=8).
%Y A260813 Connected bipartite trivalent simple graphs with girth at least g: A006823 (g=4), A260811 (g=6), this sequence (g=8).
%K A260813 nonn,more,hard
%O A260813 0,19
%A A260813 _Dylan Thurston_, Jul 31 2015
%E A260813 a(23)-a(24) from the House-of-Graphs added by _R. J. Mathar_, Sep 29 2017
%E A260813 a(25)-a(26) from _Jan Goedgebeur_, Aug 17 2021