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A368182
a(n) is the number of distinct numbers of intercalates in Latin squares of order n.
0
1, 1, 1, 2, 2, 9, 23, 61
OFFSET
1,4
COMMENTS
a(9)>=64, a(10)>=103, a(11)>=145, a(12)>=259, a(13)>=197, a(14)>=362, a(15)>=536, a(16)>=794, a(17)>=705, a(18)>=655, a(19)>=469, a(20)>=1362. - Eduard I. Vatutin, Aug 13 2024
EXAMPLE
For n=7, a Latin square of order 7 may have 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20, 22, 26, 30, or 42 intercalates. There are 23 possibilities, so a(7)=23.
CROSSREFS
KEYWORD
nonn,more,hard
AUTHOR
Eduard I. Vatutin, Feb 15 2024
STATUS
approved