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A002786 Semigroups of order n with 1 idempotent, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator).
(Formerly M1522 N0596)
+0
1
1, 2, 5, 19, 132, 3107, 623615 (list; graph; listen)
OFFSET

1,2

REFERENCES

H. Juergensen and P. Wick, Die Halbgruppen von Ordnungen <= 7, Semigroup Forum, 14 (1977), 69-79.

R. J. Plemmons, There are 15973 semigroups of order 6, Math. Algor., 2 (1967), 2-17; 3 (1968), 23.

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

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to semigroups

CROSSREFS

Column 1 of A058123.

Sequence in context: A089126 A113346 A054926 this_sequence A039719 A014466 A108799

Adjacent sequences: A002783 A002784 A002785 this_sequence A002787 A002788 A002789

KEYWORD

nonn,nice,hard

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.


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