A375141 Number of even reduced Latin squares of order n.

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

Offset: 1

Author

Carolin Hannusch, Jul 31 2024

Keywords

• nonn
• more
• hard

Examples

			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]]
		

Links

• Carolin Hannusch, Python program for latin squares

Crossrefs

Cf. A000315, A375121.

Formula

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