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A287644 Maximum number of transversals in a diagonal Latin square of order n. 3
1, 0, 0, 8, 15, 32, 133, 384 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Same as maximum number of transversals in a Latin square of order n except n = 3.

a(10) >= 5504 from Parker and Brown.

REFERENCES

J. W. Brown et al., Completion of the spectrum of orthogonal diagonal Latin squares, Lecture notes in pure and applied mathematics, volume 139 (1992), pp. 43-49.

E. T. Parker, Computer investigations of orthogonal Latin squares of order 10, Proc. Sympos. Appl. Math., volume 15 (1963), pp. 73-81.

LINKS

Table of n, a(n) for n=1..8.

Eduard I. Vatutin, Discussion about properties of diagonal Latin squares at forum.boinc.ru.

E. I. Vatutin, S. E. Kochemazov, O. S. Zaikin, Estimating of combinatorial characteristics for diagonal Latin squares, Recognition — 2017 (2017), pp. 98-100 (in Russian).

E. I. Vatutin, S. E. Kochemazov, O. S. Zaikin, S. Yu. Valyaev, Enumerating the Transversals for Diagonal Latin Squares of Small Order. CEUR Workshop Proceedings. Proceedings of the Third International Conference BOINC-based High Performance Computing: Fundamental Research and Development (BOINC:FAST 2017). Vol. 1973. Technical University of Aachen, Germany, 2017. pp. 6-14. urn:nbn:de:0074-1973-0.

Index entries for sequences related to Latin squares and rectangles

CROSSREFS

Cf. A090741, A287645, A287647, A287648.

Sequence in context: A123526 A083686 A293360 * A089954 A134020 A197602

Adjacent sequences:  A287641 A287642 A287643 * A287645 A287646 A287647

KEYWORD

nonn,more

AUTHOR

Eduard I. Vatutin, May 29 2017

EXTENSIONS

a(8) added by Eduard I. Vatutin, Oct 29 2017

STATUS

approved

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