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A299784 Maximal size of main class for diagonal Latin squares of order n with first row 1..n. 3

%I

%S 1,0,0,2,4,96,192,1536

%N Maximal size of main class for diagonal Latin squares of order n with first row 1..n.

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

%H E. Vatutin, A. Belyshev, S. Kochemazov, O. Zaikin, N. Nikitina, <a href="http://evatutin.narod.ru/evatutin_co_dls_cfs_cnt.pdf">Enumeration of isotopy classes of diagonal Latin squares of small order using volunteer computing</a>, Supercomputing Days Russia 2018, Moscow, Moscow State University, 2018, pp. 933-942.

%H E. Vatutin, A. Belyshev, S. Kochemazov, O. Zaikin, N. Nikitina, <a href="https://doi.org/10.1007/978-3-030-05807-4_49">Enumeration of isotopy classes of diagonal Latin squares of small order using volunteer computing</a>, Communications in Computer and Information Science. Vol. 965. Springer, 2018. pp. 578-586.

%H <a href="https://oeis.org/index/La#Latin">Index entries for sequences related to Latin squares and rectangles</a>

%F a(n) = A299787(n)/n!.

%Y Cf. A287764, A299783.

%K nonn,more

%O 1,4

%A _Eduard I. Vatutin_, Jan 21 2019

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Last modified August 26 05:23 EDT 2019. Contains 326328 sequences. (Running on oeis4.)