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A274806 Number of diagonal Latin squares of order n. 1
1, 0, 0, 48, 960, 92160, 862848000, 300286741708800, 1835082219864832081920 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

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

E. I. Vatutin, O. S. Zaikin, A. D. Zhuravlev, M. O. Manzuk, S. E. Kochemazov and V. S. Titov, Using grid systems for enumerating combinatorial objects on example of diagonal Latin squares, Proceedings of Distributed Computing and grid-technologies in science and education (GRID'16), JINR, Dubna, 2016, pp. 114-115.

E. I. Vatutin, S. E. Kochemazov, O. S. Zaikin, Applying Volunteer and Parallel Computing for Enumerating Diagonal Latin Squares of Order 9, Parallel Computational Technologies. PCT 2017. Communications in Computer and Information Science, vol. 753, pp. 114-129. doi: 10.1007/978-3-319-67035-5_9

Vatutin E. I., Zaikin O. S., Zhuravlev A. D., Manzuk M. O., Kochemazov S. E., Titov V. S., The effect of filling cells order to the rate of generation of diagonal Latin squares. Information-measuring and diagnosing control systems (Diagnostics - 2016). Kursk: SWSU, 2016. pp. 33-39. (in Russian)

E. I. Vatutin, V. S. Titov, O. S. Zaikin, S. E. Kochemazov, S. U. Valyaev, A. D. Zhuravlev, M. O. Manzuk, Using grid systems for enumerating combinatorial objects with example of diagonal Latin squares, Information technologies and mathematical modeling of systems (2016), pp. 154-157, (in Russian)

Eduard I. Vatutin, a(9) value fixed

Vatutin E.I., Zaikin O.S., Zhuravlev A.D., Manzyuk M.O., Kochemazov S.E., Titov V.S., Using grid systems for enumerating combinatorial objects on example of diagonal Latin squares. CEUR Workshop proceedings. Selected Papers of the 7th International Conference Distributed Computing and Grid-technologies in Science and Education. 2017. Vol. 1787. pp. 486-490. urn:nbn:de:0074-1787-5.

Index entries for sequences related to Latin squares and rectangles

FORMULA

a(n) = A274171(n) * n!.

CROSSREFS

Cf. A000315, A000479, A274171.

Sequence in context: A233674 A293778 A089903 * A292045 A272778 A160068

Adjacent sequences:  A274803 A274804 A274805 * A274807 A274808 A274809

KEYWORD

nonn,more

AUTHOR

Eduard I. Vatutin, Jul 07 2016

EXTENSIONS

a(9) from Vatutin et al. (2016) added by Max Alekseyev, Oct 05 2016

a(9) corrected by Eduard I. Vatutin, Oct 20 2016

STATUS

approved

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Last modified December 16 20:54 EST 2017. Contains 296092 sequences.