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

1,4

Comments

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

Links

Table of n, a(n) for n=1..13.

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.

Sequence in context: A363470 A319897 A350009 * A193734 A318390 A319511

Adjacent sequences: A350007 A350008 A350009 * A350011 A350012 A350013

Keyword

nonn,more

Author

Ian Wanless, Dec 08 2021

Status

approved