BBC Russian

Svoboda | Graniru | BBC Russia | Golosameriki | Facebook

The OEIS is supported by the many generous donors to the OEIS Foundation.

A287764

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

1, 0, 0, 1, 2, 2, 972, 4873096, 3292326155394 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,5`
	LINKS	`Table of n, a(n) for n=1..9.` `A. D. Belyshev, Discussion about properties of diagonal Latin squares (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)` `E. I. Vatutin, A. D. Belyshev, Discussion about properties of diagonal Latin squares at forum.boinc.ru (in Russian)` `E. I. Vatutin, Enumerating the diagonal Latin squares of order 8 using equivalence classes of X-based fillings of diagonals and ESODLS-schemas (in Russian)` `E. I. Vatutin, Enumerating the diagonal Latin squares of order 9 using Gerasim@Home volunteer distributed computing project, equivalence classes of X-based fillings of diagonals and ESODLS-schemas (in Russian)` `E. Vatutin, A. Belyshev, S. Kochemazov, O. Zaikin, N. Nikitina, Enumeration of isotopy classes of diagonal Latin squares of small order using volunteer computing, Supercomputing Days Russia 2018, Moscow, Moscow State University, 2018, pp. 933-942.` `Eduard Vatutin, Alexey Belyshev, Stepan Kochemazov, Oleg Zaikin, Natalia Nikitina, Enumeration of Isotopy Classes of Diagonal Latin Squares of Small Order Using Volunteer Computing, Russian Supercomputing Days (Суперкомпьютерные дни в России), 2018.` `E. Vatutin, A. Belyshev, S. Kochemazov, O. Zaikin, N. Nikitina, Enumeration of isotopy classes of diagonal Latin squares of small order using volunteer computing, Communications in Computer and Information Science. Vol. 965. Springer, 2018. pp. 578-586.` `E. I. Vatutin, A. D. Belyshev, N. N. Nikitina, and M. O. Manzuk, Use of X-based diagonal fillings and ESODLS CMS schemes for enumeration of main classes of diagonal Latin squares, Telecommunications, 2023, No. 1, pp. 2-16, DOI: 10.31044/1684-2588-2023-0-1-2-16 (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. Third independent confirmation of the previously calculated value a(9) (in Russian).` `E. I. Vatutin, N. N. Nikitina, M. O. Manzuk, A. M. Albertyan and I. I. Kurochkin, On the construction of spectra of fast-computable numerical characteristics for diagonal Latin squares of small order, Intellectual and Information Systems (Intellect - 2021). Tula, 2021. pp. 7-17. (in Russian)` `Index entries for sequences related to Latin squares and rectangles`
	CROSSREFS	`Cf. A003090, A309283, A274171.` `Sequence in context: A093596 A095304 A111819 * A260753 A079237 A262060` `Adjacent sequences: A287761 A287762 A287763 * A287765 A287766 A287767`
	KEYWORD	`nonn,hard,more`
	AUTHOR	`Eduard I. Vatutin, May 31 2017`
	EXTENSIONS	`a(9) from Eduard I. Vatutin, Jul 06 2019`
	STATUS	`approved`

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 6 00:03 EDT 2024. Contains 374957 sequences. (Running on oeis4.)