A338978 - OEIS

%I #58 Aug 28 2024 15:41:12

%S 1,0,0,1,3507,66462606,2977635137862,283097260184159421,

%T 52469332407700365320163,17647883828569858659972268092,

%U 10148613081040117624319536901932188,9494356410654311931931879706070629989407,13859154719468565627065764000731047706917194485

%N Number of labeled 5-regular graphs on 2n nodes.

%H Marni Mishna, <a href="/A338978/b338978.txt">Table of n, a(n) for n = 0..110</a> (first 51 terms from Brendan Mackay)

%H 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.

%H Élie de Panafieu, <a href="https://arxiv.org/abs/2408.12459">Asymptotic expansion of regular and connected regular graphs</a>, arXiv:2408.12459 [math.CO], 2024. See p. 9.

%H Atabey Kaygun, <a href="https://kaygun.tumblr.com/post/637867244800573440/counting-graphs-with-a-prescribed-degree-sequence">Counting Graphs with a Prescribed Degree Sequence</a>.

%H Atabey Kaygun, <a href="https://arxiv.org/abs/2101.02299">Enumerating Labeled Graphs that Realize a Fixed Degree Sequence</a>, arXiv:2101.02299 [math.CO], 2021.

%Y With interspersed zeros, column k=5 of A059441.

%Y Cf. A001205, A002829, A005815, A165626 (unlabeled case).

%K nonn

%O 0,5

%A _Atabey Kaygun_, Dec 18 2020