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Maximum determinant of a circulant n X n matrix whose rows are permutations of [1,2,..,n].
5

%I #15 Oct 14 2019 15:14:52

%S 1,1,3,18,160,2325,41895,961772,26978400,929587995,36843728625,

%T 1705290814194,89802671542272,5336424046419557,354379732734283200,

%U 26173529641406219400

%N Maximum determinant of a circulant n X n matrix whose rows are permutations of [1,2,..,n].

%C It is conjectured that A309985 is identical to this sequence. See Mathematics Stack Exchange link. The first rows of the corresponding circulant matrices are provided in A328029.

%H Mathematics Stack Exchange, <a href="https://math.stackexchange.com/questions/885481/maximum-determinant-of-latin-squares">Maximum determinant of Latin squares</a>, (2014), (2016).

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Circulant_matrix">Circulant matrix</a>.

%F a(n) = A309985(n) for n <= 9.

%F a(n) <= A328031(n).

%Y Cf. A309985, A328029, A328031.

%K nonn,more,hard

%O 0,3

%A _Hugo Pfoertner_, Oct 02 2019

%E a(15) from _Hugo Pfoertner_, Oct 14 2019

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