A337309 Number of main classes of bachelor diagonal Latin squares of order n.

0, 0, 0, 0, 1, 2, 967, 4871991, 3292326080087

Offset: 1

Author

Eduard I. Vatutin, Aug 22 2020

Keywords

• nonn
• more
• hard

Comments

A bachelor diagonal Latin square is one with no orthogonal mate.

Links

• Eduard I. Vatutin, About the number of main classes of bachelor diagonal Latin squares of orders 1-8 (in Russian).
• Eduard I. Vatutin, Natalia N. Nikitina, Maxim O. Manzuk, First results of an experiment on studying the properties of DLS of order 9 in the volunteer distributed computing projects Gerasim@Home and RakeSearch (in Russian).
• E. I. Vatutin, Special types of diagonal Latin squares, Cloud and distributed computing systems in electronic control conference, within the National supercomputing forum (NSCF - 2022). Pereslavl-Zalessky, 2023. pp. 9-18. (in Russian)
• Index entries for sequences related to Latin squares and rectangles.

Crossrefs

Cf. A305568, A305569, A330391, A287764.

Formula

a(n) = A287764(n) - A330391(n).

Extensions

a(9) added by Eduard I. Vatutin, Dec 08 2020