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A181593 Number of isomorphism classes of self-orthogonal Latin squares of order n. 0
1, 0, 0, 6, 22, 0, 3972, 104120, 69112956, 881912947656 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,4
COMMENTS
A self-orthogonal Latin square (SOLS) is a Latin square orthogonal to its transpose. Two SOLS L and L' are isomorphic if a permutation applied to the rows, columns and symbols of L maps L to L'.
LINKS
A. P. Burger, M. P. Kidd and J. H. van Vuuren, 2010. Enumerasie van self-ortogonale Latynse vierkante van orde 10, LitNet Akademies (Natuurwetenskappe), 7(3), pp. 1-22.
A. P. Burger, M. P. Kidd and J. H. van Vuuren, Enumeration of isomorphism classes of self-orthogonal Latin squares, Ars Combinatoria, 97, pp. 143-152.
CROSSREFS
Sequence in context: A372425 A007594 A316775 * A084539 A034124 A055043
KEYWORD
hard,more,nonn
AUTHOR
Martin P Kidd, Nov 01 2010
EXTENSIONS
a(10) from Martin Kidd, Oct 20 2011
STATUS
approved

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Last modified August 29 15:31 EDT 2024. Contains 375517 sequences. (Running on oeis4.)