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.

A374842 Number of 7-regular labeled graphs on 2n nodes.

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%I A374842 #33 Aug 03 2024 17:58:27
%S A374842 1,0,0,0,1,286884,480413921130,1803595358964773088,
%T A374842 15138592322753242235338875,271849772205948458085090804526392,
%U A374842 9883018890803233316233360724489799227748,689121157937951859333538097288863665976145304960
%N A374842 Number of 7-regular labeled graphs on 2n nodes.
%C A374842 These entries are generated by a linear recurrence.
%H A374842 Marni Mishna, <a href="/A374842/b374842.txt">Table of n, a(n) for n = 0..89</a>
%H A374842 Frédéric Chyzak and Marni Mishna, <a href="https://arxiv.org/abs/2406.04753">Differential equations satisfied by generating functions of 5-, 6-, and 7-regular labelled graphs: a reduction-based approach</a>, arXiv:2406.04753 [math.CO], 2024.
%e A374842 For example, for n=4, a(4)=1 indicates that there is a single 7-regular graph on 2n=8 vertices. Specifically, this is the complete graph.
%Y A374842 Alternating terms of column k=7 of A059441.
%Y A374842 Cf. A165628 (unlabeled case).
%K A374842 nonn
%O A374842 0,6
%A A374842 _Marni Mishna_, Jul 23 2024