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

Author

Artur Jasinski, Nov 06 2005

Keywords

• nonn
• more

Comments

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

Formula

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

Extensions

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