This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A382952 #16 Apr 23 2025 18:14:42 %S A382952 0,0,0,12,0,0,18,112,72,53 %N A382952 Maximum number of intercalates in an extended self-orthogonal diagonal Latin square of order n. %C A382952 A self-orthogonal diagonal Latin square (SODLS) is a diagonal Latin square orthogonal to its transpose. An extended self-orthogonal diagonal Latin square (ESODLS) is a diagonal Latin square that has an orthogonal diagonal Latin square from the same main class. SODLS is a special case of ESODLS. %C A382952 Table showing minimums and maximums: %C A382952 order | 4 5 6 7 8 9 10 %C A382952 min number of intercalates | 12 0 - 0 16 0 5 %C A382952 max number of intercalates | 12 0 - 18 112 72 53 (this sequence) %H A382952 Eduard I. Vatutin, <a href="https://vk.com/wall162891802_2937">About the properties of ESODLS of orders 1-10</a> (in Russian). %H A382952 Eduard I. Vatutin, <a href="/A382952/a382952_1.txt">Proving list, minimum number of intercalates (best known examples)</a>. %H A382952 Eduard I. Vatutin, <a href="/A382952/a382952.txt">Proving list, maximum number of intercalates (best known examples)</a>. %H A382952 <a href="/index/La#Latin">Index entries for sequences related to Latin squares and rectangles</a>. %Y A382952 Cf. A092237, A307164, A309210, A309598, A309599, A360223, A382957. %K A382952 nonn,more,hard %O A382952 1,4 %A A382952 _Eduard I. Vatutin_, Apr 09 2025