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A027851 Number of nonisomorphic semigroups of order n. 16
1, 1, 5, 24, 188, 1915, 28634, 1627672, 3684030417, 105978177936292 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

REFERENCES

A. de Vries, Formal Languages: An Introduction, http://haegar.fh-swf.de/Seminare/Genome/Archiv/languages.pdf

LINKS

Andreas Distler, Classification and Enumeration of Finite Semigroups, A Thesis Submitted for the Degree of PhD, University of St Andrews (2010).

Eric Postpischil Posting to sci.math newsgroup, May 21 1990

C. Noebauer, Home page

C. Noebauer, The Numbers of Small Rings

C. Noebauer, Thesis on the enumeration of near-rings

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

Index entries for sequences related to semigroups

CROSSREFS

a(n)=A001423(n)*2-A029851(n). Cf. A001426, A023814, A058108.

a(n)+A079173(n)=A001329(n)

Sequence in context: A009601 A009676 A192995 * A120765 A051812 A003224

Adjacent sequences:  A027848 A027849 A027850 * A027852 A027853 A027854

KEYWORD

nonn,hard,nice

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), Dec 13 1997, updated Feb 19 2001

EXTENSIONS

a(8)-a(9) from Andreas Distler (andreas(AT)mcs.st-andrews.ac.uk), Jan 13 2011

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Last modified February 17 16:49 EST 2012. Contains 206058 sequences.