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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, 91361407076595590705971200 (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
Hy Ginsberg, Totally Symmetric Quasigroups of Order 16, arXiv preprint (2022). arXiv:2211.13204 [math.CO]
Brendan D. McKay and Ian M. Wanless, Enumeration of Latin squares with conjugate symmetry, J. Combin. Des. 30 (2022), 105-130.
CROSSREFS
Sequence in context: A302837 A034382 A034383 * A072684 A344747 A073633
KEYWORD
nonn,more
AUTHOR
Ian Wanless, Dec 08 2021
EXTENSIONS
a(16) from Ginsberg link via Charles R Greathouse IV, Dec 02 2022
STATUS
approved

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Last modified March 28 08:22 EDT 2024. Contains 371236 sequences. (Running on oeis4.)