A350026 Number of species containing totally symmetric Latin squares of order n.

1, 1, 1, 2, 1, 2, 3, 13, 8, 139, 65, 25888, 24316, 92798256, 122859796

Offset

1,4

Comments

A Latin square is "totally symmetric" if all 6 of its conjugates are equal. Species are also known as "main classes" or "paratopism classes".

Links

Table of n, a(n) for n=1..15.

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

Crossrefs

Cf. A076019, A350025.

Sequence in context: A306456 A178463 A213593 * A118888 A061678 A206425

Adjacent sequences: A350023 A350024 A350025 * A350027 A350028 A350029

Keyword

nonn,more

Author

Ian Wanless, Dec 08 2021

Status

approved