A346687 Minimal number of generators of the monoid of n X n reflexive Boolean matrices.

1, 2, 9, 39, 1415, 482430, 1034972230

Offset

1,2

Comments

A Boolean matrix is reflexive if all entries on the main diagonal are 1.

Links

Table of n, a(n) for n=1..7.

F. Hivert, J. D. Mitchell, F. L. Smith, and W. A. Wilson, Minimal generating sets for matrix monoids, arXiv:2012.10323 [math.RA], 2020, p. 7.

Crossrefs

Cf. A346686.

Sequence in context: A151018 A096359 A020002 * A120700 A075873 A124722

Adjacent sequences: A346684 A346685 A346686 * A346688 A346689 A346690

Keyword

nonn,more,hard

Author

James Mitchell, Jul 29 2021

Status

approved