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A002788
Idempotent semigroups of order n, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator).
(Formerly M1679 N0661)
2
1, 1, 2, 6, 26, 135, 875, 6749, 60601, 618111, 7033090
OFFSET
0,3
COMMENTS
An idempotent semigroup is one whose elements are all idempotents.
REFERENCES
R. J. Plemmons, There are 15973 semigroups of order 6, Math. Algor., 2 (1967), 2-17; 3 (1968), 23.
R. J. Plemmons, Construction and analysis of non-equivalent finite semigroups, pp. 223-228 of J. Leech, editor, Computational Problems in Abstract Algebra. Pergamon, Oxford, 1970.
S. Satoh, K. Yama and M. Tokizawa, Semigroups of order 8; Semigroup Forum 49, 1994.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Andreas Distler, Classification and Enumeration of Finite Semigroups, A Thesis Submitted for the Degree of PhD, University of St Andrews (2010).
R. J. Plemmons, There are 15973 semigroups of order 6 (annotated and scanned copy)
Eric Weisstein's World of Mathematics, Semigroup.
CROSSREFS
Cf. A001423. Main diagonal of A058123.
Sequence in context: A326562 A030957 A030898 * A375652 A332796 A134094
KEYWORD
nonn,nice,hard
EXTENSIONS
Additional reference and comments from Michael Somos
a(7) term from Christian G. Bower, Feb 19 2001
a(8) (from the Satoh et al. reference) sent by Tom Kelsey (tom(AT)cs.st-and.ac.uk), Jun 17 2008
a(9)-a(10) from Andreas Distler, Jan 12 2011
STATUS
approved