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A299787 Maximal size of main class for diagonal Latin squares of order n. 1
1, 0, 0, 48, 480, 69120, 967680, 61931520 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

a(n) <= 2^m * m! * 4 * n!, m = floor(n/2).

LINKS

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

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

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.

Index entries for sequences related to Latin squares and rectangles

FORMULA

a(n) = A299784(n)*n!.

CROSSREFS

Cf. A287764, A299783, A299784.

Sequence in context: A305571 A229505 A299785 * A168351 A198398 A211149

Adjacent sequences:  A299784 A299785 A299786 * A299788 A299789 A299790

KEYWORD

nonn,more

AUTHOR

Eduard I. Vatutin, Jan 21 2019

STATUS

approved

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Last modified July 22 05:47 EDT 2019. Contains 325213 sequences. (Running on oeis4.)