A264603 Number of structurally distinct Latin squares of order n.

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

Offset

1,4

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

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

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.

Sequence in context: A061065 A210356 A328261 * A296841 A342111 A296942

Adjacent sequences: A264600 A264601 A264602 * A264604 A264605 A264606

Keyword

nonn,more

Author

N. J. A. Sloane, Nov 23 2015

Extensions

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

Status

approved