A111341 Number of Latin squares in dimension n with first row and first column 1,2,3,...,n that are non-associative but commutative (element ij = element ji).

0, 0, 0, 0, 0, 396, 6120, 10934400, 1225559160, 130025295822240, 252282619805005440, 2209617218725251390961920, 98758655816833727741298666240

Offset

1,6

Comments

At order 6 there are commutative but non-associative Latin squares. - Artur Jasinski, Dec 08 2006

Links

Table of n, a(n) for n=1..13.

Formula

a(n) = A035481(n) - A058162(n).

Crossrefs

Sequence in context: A203934 A203927 A205330 * A092720 A230732 A034621

Adjacent sequences: A111338 A111339 A111340 * A111342 A111343 A111344

Keyword

nonn,more

Author

Artur Jasinski, Nov 06 2005

Extensions

a(5) corrected and a(8)-a(13) added by Max Alekseyev, Jul 23 2025

Status

approved