A375141 Number of even reduced Latin squares of order n.

1, 1, 1, 4, 40, 5856, 8609280

Offset

1,4

Links

Table of n, a(n) for n=1..7.

Carolin Hannusch, Python program for latin squares

Formula

a(n) + A375121(n) = A000315(n).

Example

n=4: [[1, 2, 3, 4], [2, 1, 4, 3], [3, 4, 1, 2], [4, 3, 2, 1]];
 [[1, 2, 3, 4], [2, 1, 4, 3], [3, 4, 2, 1], [4, 3, 1, 2]];
 [[1, 2, 3, 4], [2, 3, 4, 1], [3, 4, 1, 2], [4, 1, 2, 3]];
 [[1, 2, 3, 4], [2, 4, 1, 3], [3, 1, 4, 2], [4, 3, 2, 1]]

Crossrefs

Cf. A000315, A375121.

Sequence in context: A072445 A000841 A059918 * A296101 A002677 A119527

Adjacent sequences: A375138 A375139 A375140 * A375142 A375143 A375144

Keyword

nonn,more,hard

Author

Carolin Hannusch, Jul 31 2024

Status

approved