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A387854
Minimum number of filled Cayley table cells for unique identification of a semigroup of order n.
1
0, 2, 2, 3, 3, 4, 3
OFFSET
1,2
EXAMPLE
For n=1, a(1)=0 because there is only one semigroup of order 1.
For n=2 and 3, a(2)=a(3)=2 because if Cayley table cells are T[0][0]=1, T[1][1]=0 then semigroup is determined uniquely (see the program in the repository).
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Andrey Chernev, Oct 08 2025
EXTENSIONS
a(6) corrected and a(7) from Andrey Chernev, Feb 18 2026
STATUS
approved