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A118099 Number of inverse semigroups of order <= n. 0
1, 3, 8, 24, 76, 284, 1195 (list; graph; refs; listen; history; internal format)
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.

Weinstein, A. "Groupoids: Unifying Internal and External Symmetry." Not. Amer. Math. Soc. 43, 744-752, 1996.

LINKS

Eric Weisstein et al., Inverse Semigroup.

Index entries for sequences related to semigroups.

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 A148784 A148785

Adjacent sequences:  A118096 A118097 A118098 * A118100 A118101 A118102

KEYWORD

nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), May 11 2006

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Last modified February 13 12:17 EST 2012. Contains 205469 sequences.