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A118099
Number of inverse semigroups of order <= n.
0
1, 3, 8, 24, 76, 284, 1195, 5832, 32254, 201417, 1400068, 10724115, 89584802, 809190807, 7844705449
OFFSET
1,2
REFERENCES
M. V. Lawson, Inverse Semigroups: The Theory of Partial Symmetries. Singapore: World Scientific, 1999.
E. S. Lyapin, Semigroups. Providence, RI: Amer. Math. Soc., 1974.
FORMULA
a(n) = Sum_{i=1..n} A001428(i).
EXAMPLE
a(7) = 1195 = 1 + 2 + 5 + 16 + 52 + 208 + 911.
CROSSREFS
Partial sums of A001428.
Sequence in context: A148782 A148783 A084205 * A066350 A375086 A148784
KEYWORD
nonn,more
AUTHOR
Jonathan Vos Post, May 11 2006
EXTENSIONS
More terms from the data at A001428 added by Amiram Eldar, May 03 2023
STATUS
approved