A341294 Allowable values for the total number of times we can have ab=ba in the Cayley table of a finite non-abelian group.

18, 40, 48, 70, 72, 100, 105, 108, 112, 120, 154, 160, 162, 168, 192, 208, 216, 270, 273, 280, 288, 294, 297, 300, 324, 340, 352, 360, 364, 384, 385, 400, 418, 432

Offset

1,1

Links

Table of n, a(n) for n=1..34.

B. Dolan, D. MacHale and P. MacHale, Counting Commutativities in Finite Algebraic Systems, Irish Math. Soc. Bulletin, Number 77, Summer 2016, 61-70.

Crossrefs

Cf. A341295.

Sequence in context: A043118 A039295 A043898 * A231086 A285527 A097972

Adjacent sequences: A341291 A341292 A341293 * A341295 A341296 A341297

Keyword

nonn,more

Author

Des MacHale, Feb 05 2021

Status

approved