

A287644


Maximum number of transversals in a diagonal Latin square of order n.


3




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. 4349.
E. T. Parker, Computer investigations of orthogonal Latin squares of order 10, Proc. Sympos. Appl. Math., volume 15 (1963), pp. 7381.


LINKS

Table of n, a(n) for n=1..7.
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. 98100 (in Russian).


CROSSREFS

Cf. A090741, A287645, A287647, A287648.
Sequence in context: A188558 A123526 A083686 * A089954 A134020 A197602
Adjacent sequences: A287641 A287642 A287643 * A287645 A287646 A287647


KEYWORD

nonn,more


AUTHOR

Eduard I. Vatutin, May 29 2017


STATUS

approved



