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.

A006823 Number of connected trivalent bipartite graphs with 2n nodes.

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%I A006823 M1450 #41 Feb 16 2025 08:32:31
%S A006823 1,1,2,5,13,38,149,703,4132,29579,245627,2291589,23466857,259974248,
%T A006823 3087698618,39075020582,524492748500,7439833931266,111179110620163,
%U A006823 1745593888011626,28726140345832290,494406533261250407,8881990236308687928,166255686198172837111,3237191621055524796848,65467841616499410561220
%N A006823 Number of connected trivalent bipartite graphs with 2n nodes.
%D A006823 CRC Handbook of Combinatorial Designs, 1996, p. 648.
%D A006823 I. A. Faradzev, Constructive enumeration of combinatorial objects, pp. 131-135 of Problèmes combinatoires et théorie des graphes (Orsay, 9-13 Juillet 1976). Colloq. Internat. du C.N.R.S., No. 260, Centre Nat. Recherche Scient., Paris, 1978.
%D A006823 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A006823 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 A006823 Nicolas Gastineau and Olivier Togni, <a href="http://arxiv.org/abs/1403.7495">S-Packing Colorings of Cubic Graphs</a>, arXiv:1403:7495 [cs.DM], 2016.
%H A006823 Jan Goedgebeur and Patric R. J. Ostergard, <a href="https://arxiv.org/abs/2105.01363">Switching 3-Edge-Colorings of Cubic Graphs</a>, arXiv:2105:01363 [math.CO], May 2021. See Table 2.
%H A006823 H. Gropp, <a href="http://dx.doi.org/10.1016/0012-365X(94)00372-P">On tactical configurations, regular bipartite graphs and (v,k,even)-designs</a>, Discr. Math., 155 (1996), 81-98.
%H A006823 House of Graphs, <a href="https://houseofgraphs.org/meta-directory/cubic#cubic_bipartite">Cubic bipartite graphs</a>
%H A006823 M. Meringer, <a href="http://www.mathe2.uni-bayreuth.de/markus/reggraphs.html">Tables of Regular Graphs</a>
%H A006823 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BicubicGraph.html">Bicubic Graph</a> [From _Eric W. Weisstein_, Jul 28 2009]
%Y A006823 Column 3 of A008326.
%Y A006823 Cf. A006824, A008325 (Euler transform).
%K A006823 nonn,hard,nice
%O A006823 3,3
%A A006823 _N. J. A. Sloane_ and _Brendan McKay_
%E A006823 Terms a(17) and beyond from _Andrew Howroyd_, Apr 03 2020