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

1, 0, 0, 0, 1, 286884, 480413921130, 1803595358964773088, 15138592322753242235338875, 271849772205948458085090804526392, 9883018890803233316233360724489799227748, 689121157937951859333538097288863665976145304960

Offset: 0

Author

Marni Mishna, Jul 23 2024

Keywords

• nonn

Comments

These entries are generated by a linear recurrence.

Examples

			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.
		

Links

• Marni Mishna, Table of n, a(n) for n = 0..89
• Frédéric Chyzak and Marni Mishna, Differential equations satisfied by generating functions of 5-, 6-, and 7-regular labelled graphs: a reduction-based approach, arXiv:2406.04753 [math.CO], 2024.

Crossrefs

Alternating terms of column k=7 of A059441.

Cf. A165628 (unlabeled case).