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%I #40 Dec 24 2020 06:38:57
%S 1,0,0,2,4,0,320,1322496,339930624
%N Number of reduced pairs of orthogonal diagonal Latin squares of order n.
%C A pair of orthogonal diagonal Latin squares is reduced if their first rows are in natural order.
%H E. I. Vatutin, <a href="http://forum.boinc.ru/default.aspx?g=posts&m=87882#post87882">Discussion about properties of diagonal Latin squares at forum.boinc.ru</a> (in Russian)
%H E. I. Vatutin, <a href="http://forum.boinc.ru/default.aspx?g=posts&m=87885#post87885">Discussion about properties of diagonal Latin squares at forum.boinc.ru, continuation</a> (in Russian)
%H Eduard I. Vatutin, Stepan E. Kochemazov, Oleq S. Zaikin, Maxim O. Manzuk, Natalia N. Nikitina, Vitaly S. Titov, <a href="https://doi.org/10.25045/jpit.v10.i2.01">Central symmetry properties for diagonal Latin squares</a>, Problems of Information Technology (2019) No. 2, 3-8.
%H E. I. Vatutin, S. E. Kochemazov, O. S. Zaikin, M. O. Manzuk, V. S. Titov, <a href="http://evatutin.narod.ru/evatutin_co_ls_odls_cnt_1_7.pdf">Combinatorial characteristics estimating for pairs of orthogonal diagonal Latin squares</a>, Multicore processors, parallel programming, FPGA, signal processing systems (2017), pp. 104-111 (in Russian).
%H Eduard I. Vatutin, Natalia N. Nikitina, Maxim O. Manzuk, <a href="https://vk.com/wall162891802_1485">First results of an experiment on studying the properties of DLS of order 9 in the volunteer distributed computing projects Gerasim@Home and RakeSearch</a> (in Russian).
%H Eduard I. Vatutin, Natalia N. Nikitina, Maxim O. Manzuk, <a href="https://vk.com/wall162891802_1496">Additional calculated results of an experiment on studying the properties of DLS of order 9 in the volunteer distributed computing projects Gerasim@Home and RakeSearch</a> (in Russian).
%H <a href="/index/La#Latin">Index entries for sequences related to Latin squares and rectangles</a>
%F a(n) = A339926(n) / (n!)^2. - _Eduard I. Vatutin_, Dec 24 2020
%Y Cf. A266166, A339926.
%K nonn,more
%O 1,4
%A _Eduard I. Vatutin_, May 29 2017
%E a(8) added by _Eduard I. Vatutin_, Jan 02 2018
%E a(9) added by _Eduard I. Vatutin_, Dec 22 2020
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