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%I #29 Aug 08 2023 22:22:20
%S 0,0,0,0,480,92160,861557760,300261256888320,1835082185382168791040
%N Number of bachelor diagonal Latin squares of order n.
%C A bachelor diagonal Latin square is one with no orthogonal mate.
%H E. I. Vatutin, <a href="http://forum.boinc.ru/default.aspx?g=posts&m=90756#post90756">Discussion about properties of diagonal Latin squares at forum.boinc.ru</a> (in Russian)
%H E. I. Vatutin, <a href="http://evatutin.narod.ru/evatutin_dls_spec_types_list.pdf">Special types of diagonal Latin squares</a>, Cloud and distributed computing systems in electronic control conference, within the National supercomputing forum (NSCF - 2022). Pereslavl-Zalessky, 2023. pp. 9-18. (in Russian)
%H E. I. Vatutin, S. E. Kochemazov, O. S. Zaikin, I. I. Citerra, <a href="http://evatutin.narod.ru/evatutin_co_dls_bachelors_cnt.pdf">Estimation of the probability of finding orthogonal diagonal Latin squares among general diagonal Latin squares</a>, Recognition - 2018. Kursk: SWSU, 2018. pp. 72-74. (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) = A305568(n) * n!.
%F a(n) = A274806(n) - A305571(n).
%Y Cf. A266177, A305568, A305571.
%K nonn,more,hard
%O 1,5
%A _Eduard I. Vatutin_, Jun 05 2018
%E a(9) added by _Eduard I. Vatutin_, Dec 22 2020
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