A362828 Number of n-tuples of permutations of [n] that pairwise commute.

1, 1, 4, 48, 2016, 130440, 30672720, 11608682400, 12055770800640, 24154259257215360, 117792549941415955200, 1161512734993746635808000, 25629823970496421449477580800, 1215203193235691517749414518195200, 123585796012441765074167804498857267200

Offset: 0

Author

Andrew Howroyd, May 08 2023

Keywords

• nonn

Comments

Two permutations x,y on [n] commute if x*y = y*x.

Links

• Andrew Howroyd, Table of n, a(n) for n = 0..50
• Tad White, Counting Free Abelian Actions, arXiv preprint arXiv:1304.2830 [math.CO], 2013.

Crossrefs

Main diagonal of A362827.

Cf. A362823.