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%I #25 Oct 13 2019 14:05:49
%S 1,3,18,80,75,3087,196,1440,405,6325,726,7488,1183,11025,1800
%N a(n) is the minimum positive value of the determinants of circulant order n Latin squares.
%C These results are based upon work supported by the National Science Foundation under the grants numbered DMS-1852378 and DMS-1560019.
%H Froylan Maldonado, <a href="/A309257/a309257.sage.txt">Minimum absolute value determinant of back circulant Latin squares code</a>
%e For n=2, a(2)=3 is the minimum absolute value determinant of a back circulant Latin square of order 2. An example of one such matrix is [[2 1], [1 2]].
%e For n=5, a(5)= 75 is the minimum absolute value determinant of a back circulant Latin square of order 5. An example of one such matrix is [[1, 2, 4, 5, 3], [3, 1, 2, 4, 5], [5, 3, 1, 2, 4], [4, 5, 3, 1, 2], [2, 4, 5, 3, 1]] has determinant 75.
%o (Sage) See Maldonado link.
%Y Cf. A301371, A308853, A309088, A328062.
%K nonn,more,hard
%O 1,2
%A _Alvaro R. Belmonte_, _Eugene Fiorini_, _Peterson Lenard_, _Froylan Maldonado_, _Sabrina Traver_, _Wing Hong Tony Wong_, Jul 19 2019
%E Modified title and a(8)-a(13) from _Hugo Pfoertner_, Oct 01 2019
%E a(14) from _Hugo Pfoertner_, Oct 07 2019
%E a(15) from _Hugo Pfoertner_, Oct 13 2019