A337309 - OEIS

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A337309

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

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,6

COMMENTS

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

LINKS

Table of n, a(n) for n=1..9.

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.

FORMULA

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

CROSSREFS

Cf. A305568, A305569, A330391, A287764.

Sequence in context: A332192 A258586 A176940 * A172386 A079233 A194191

Adjacent sequences: A337306 A337307 A337308 * A337310 A337311 A337312

KEYWORD

nonn,more,hard

AUTHOR

Eduard I. Vatutin, Aug 22 2020

EXTENSIONS

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

STATUS

approved