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A350025 Number of totally symmetric Latin squares of order n. 1
1, 2, 3, 16, 30, 480, 1290, 163200, 471240, 386400000, 2269270080, 12238171545600, 149648961369600, 8089070513113497600, 160650421233958656000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A Latin square is "totally symmetric" if all 6 of its conjugates are equal.

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, A350026.

Sequence in context: A302837 A034382 A034383 * A072684 A344747 A073633

Adjacent sequences: A350022 A350023 A350024 * A350026 A350027 A350028

KEYWORD

nonn,more

AUTHOR

Ian Wanless, Dec 08 2021

STATUS

approved

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Last modified November 27 19:48 EST 2022. Contains 358406 sequences. (Running on oeis4.)