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%I A264603 #32 Mar 16 2023 10:28:24
%S A264603 1,1,1,12,192,145164,1524901344
%N A264603 Number of structurally distinct Latin squares of order n.
%C A264603 "Structurally distinct" means that the squares cannot be made identical by means of rotation, reflection, and/or permutation of the symbols.  For other notions of distinctness, see A000479 and A040082.
%D A264603 Hendrik Willem Barink, Email to N. J. A. Sloane, Nov 22 2015
%H A264603 Hendrik Willem Barink, <a href="http://www.latinsquares5x5.wordpress.com">How many structurally different latin squares do exist?</a>
%H A264603 Gabriel Crudele, Peter Dukes, and Jonathan A. Noel, <a href="https://arxiv.org/abs/2303.04776">Six Permutation Patterns Force Quasirandomness</a>, arXiv:2303.04776 [math.CO], 2023.
%H A264603 Mathematics Stack Exchange, <a href="https://math.stackexchange.com/q/1381193">How many structurally different latin squares of order 5 exist?</a>
%H A264603 Mathematics Stack Exchange, <a href="https://math.stackexchange.com/q/2143780">How many structurally distinct Latin squares are there of order 7?</a>
%H A264603 <a href="/index/La#Latin">Index entries for sequences related to Latin squares and rectangles</a>
%Y A264603 Cf. A000479, A040082.
%K A264603 nonn,more
%O A264603 1,4
%A A264603 _N. J. A. Sloane_, Nov 23 2015
%E A264603 a(7) from MSE link, added by _Max Alekseyev_, Sep 01 2017

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