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%I #17 Aug 08 2023 22:22:10
%S 0,0,0,0,1,2,967,4871991,3292326080087
%N Number of main classes of bachelor diagonal Latin squares of order n.
%C A bachelor diagonal Latin square is one with no orthogonal mate.
%H Eduard I. Vatutin, <a href="https://vk.com/wall162891802_1295">About the number of main classes of bachelor diagonal Latin squares of orders 1-8</a> (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 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 <a href="https://oeis.org/index/La#Latin">Index entries for sequences related to Latin squares and rectangles</a>.
%F a(n) = A287764(n) - A330391(n).
%Y Cf. A305568, A305569, A330391, A287764.
%K nonn,more,hard
%O 1,6
%A _Eduard I. Vatutin_, Aug 22 2020
%E a(9) added by _Eduard I. Vatutin_, Dec 08 2020
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