A264603 Number of structurally distinct Latin squares of order n.

1, 1, 1, 12, 192, 145164, 1524901344

Offset: 1

Author

N. J. A. Sloane, Nov 23 2015

Keywords

• nonn
• more

Comments

"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.

References

• Hendrik Willem Barink, Email to N. J. A. Sloane, Nov 22 2015

Links

• Hendrik Willem Barink, How many structurally different latin squares do exist?
• Gabriel Crudele, Peter Dukes, and Jonathan A. Noel, Six Permutation Patterns Force Quasirandomness, arXiv:2303.04776 [math.CO], 2023.
• Mathematics Stack Exchange, How many structurally different latin squares of order 5 exist?
• Mathematics Stack Exchange, How many structurally distinct Latin squares are there of order 7?
• Index entries for sequences related to Latin squares and rectangles

Crossrefs

Cf. A000479, A040082.

Extensions

a(7) from MSE link, added by Max Alekseyev, Sep 01 2017