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A274171 Number of diagonal Latin squares of order n with first row 1..n. 1
1, 0, 0, 2, 8, 128, 171200, 7447587840, 5056994653507584 (list; graph; refs; listen; history; text; internal format)



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.

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 after

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.


a(n) = A274806(n)/n!.


Cf. A000315, A000479.

Sequence in context: A111179 A178173 A058891 * A184945 A058343 A267407

Adjacent sequences:  A274168 A274169 A274170 * A274172 A274173 A274174




Eduard I. Vatutin, Jul 07 2016


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

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



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Last modified June 28 08:24 EDT 2017. Contains 288813 sequences.