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%I #17 Feb 25 2024 06:08:32
%S 0,0,0,12,0,0,18,112,72
%N Maximum number of intercalates in an orthogonal diagonal Latin square of order n.
%C An intercalate is a 2 X 2 subsquare of a Latin square.
%C An orthogonal diagonal Latin square is a diagonal Latin square that has at least one orthogonal diagonal mate.
%C a(10) >= 76, a(11) >= 94, a(12) >= 324, a(13) >= 26. - _Eduard I. Vatutin_, updated Feb 25 2024
%H Eduard I. Vatutin, <a href="https://vk.com/wall162891802_1709">About the spectra of numerical characteristics of orthogonal diagonal Latin squares of orders 1-11</a> (in Russian).
%H Eduard I. Vatutin, <a href="/A360223/a360223_1.txt">Proving list (best known examples)</a>.
%H E. I. Vatutin, N. N. Nikitina, M. O. Manzuk, A. M. Albertyan, and I. I. Kurochkin, <a href="http://evatutin.narod.ru/evatutin_spectra_t_dt_i_o_small_orders_thesis.pdf">On the construction of spectra of fast-computable numerical characteristics for diagonal Latin squares of small order</a>, Intellectual and Information Systems (Intellect - 2021), Tula, 2021, pp. 7-17. (in Russian)
%H <a href="/index/La#Latin">Index entries for sequences related to Latin squares and rectangles</a>.
%Y Cf. A305570, A305571, A307164, A354050, A360221.
%K nonn,more,hard
%O 1,4
%A _Eduard I. Vatutin_, Jan 30 2023
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