cp's OEIS Frontend

A330391 Number of main classes of diagonal Latin squares of order n with at least one orthogonal diagonal mate.

%I A330391 #61 Aug 08 2023 03:22:58
%S A330391 1,0,0,1,1,0,5,1105,75307
%N A330391 Number of main classes of diagonal Latin squares of order n with at least one orthogonal diagonal mate.
%H A330391 Natalia Makarova, <a href="https://boinc.progger.info/odlk/forum_thread.php?id=173">Database CF ODLS of order n</a>
%H A330391 E. I. Vatutin, <a href="https://vk.com/wall162891802_1085">Discussion about properties of diagonal Latin squares</a> (in Russian)
%H A330391 E. I. Vatutin, <a href="http://evatutin.narod.ru/evatutin_odls_1_to_8.zip">List of all main classes of orthogonal diagonal Latin squares of orders 1-8</a>.
%H A330391 E. I. Vatutin, <a href="http://evatutin.narod.ru/evatutin_odls_9.zip">List of all main classes of orthogonal diagonal Latin squares of order 9</a>.
%H A330391 E. I. Vatutin, <a href="https://disk.yandex.ru/d/N5q5wsPeeCSVPg">List of known main classes of orthogonal diagonal Latin squares of order 11</a>.
%H A330391 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 A330391 E. Vatutin, A. Belyshev, <a href="https://www.springerprofessional.de/en/enumerating-the-orthogonal-diagonal-latin-squares-of-small-order/18659992">Enumerating the Orthogonal Diagonal Latin Squares of Small Order for Different Types of Orthogonality</a>, Communications in Computer and Information Science, Vol. 1331, Springer, 2020, pp. 586-597.
%H A330391 Eduard I. Vatutin, Natalia N. Nikitina, and 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 A330391 <a href="/index/La#Latin">Index entries for sequences related to Latin squares and rectangles</a>.
%F A330391 a(n) = A287764(n) - A337309(n).
%Y A330391 Cf. A287651, A287764, A287695, A305570, A305571, A337309.
%K A330391 nonn,more,hard
%O A330391 1,7
%A A330391 _Eduard I. Vatutin_, Feb 25 2020
%E A330391 a(9) added by _Eduard I. Vatutin_, Dec 12 2020