A350010 a(n) is the number of equivalence classes of symmetric Latin squares of order n.

1, 1, 1, 2, 1, 6, 7, 423, 3460, 35878510, 6320290037, 4612966007179768, 15859695832489637513

Offset: 1

Author

Ian Wanless, Dec 08 2021

Keywords

• nonn
• more

Comments

Equivalence here includes permutation of the symbols as well as simultaneously applying one permutation to both the rows and columns.

Links

• Brendan D. McKay and Ian M. Wanless, Enumeration of Latin squares with conjugate symmetry, J. Combin. Des. 30 (2022), 105-130.

Crossrefs

The odd terms agree with A350009. Cf. A035481.