cp's OEIS Frontend

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.

A382270 Maximum number of intercalates in a Brown's diagonal Latin square of order 2n.

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%I A382270 #8 Apr 01 2025 21:43:01
%S A382270 0,12,9,112,57
%N A382270 Maximum number of intercalates in a Brown's diagonal Latin square of order 2n.
%C A382270 A Brown's diagonal Latin square is a horizontally symmetric row-inverse or vertically symmetric column-inverse diagonal Latin square (see A339641).
%C A382270 Brown's diagonal Latin squares are special case of plain symmetry diagonal Latin squares that do not exist for odd orders.
%C A382270 a(6)>=252, a(7)>=385, a(8)>=960, a(9)>=329, a(10)>=356, a(11)>=497, a(12)>=1008, a(13)>=497, a(14)>=524.
%H A382270 Eduard I. Vatutin, <a href="https://vk.com/wall162891802_2895">About the spectra of numerical characteristics of Brown's diagonal Latin squares</a> (in Russian).
%H A382270 Eduard I. Vatutin, <a href="/A382270/a382270.txt">Proving list (best known examples)</a>.
%H A382270 <a href="/index/La#Latin">Index entries for sequences related to Latin squares and rectangles</a>.
%Y A382270 Cf. A092237, A307163, A307164, A339641, A345760, A368182, A379665.
%K A382270 nonn,more,hard
%O A382270 1,2
%A A382270 _Eduard I. Vatutin_, Mar 20 2025