login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A079201 Number of isomorphism classes of associative commutative closed binary operations on a set of order n, listed by class size. 5
1, 0, 3, 0, 0, 3, 9, 0, 0, 0, 3, 0, 0, 16, 39 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

A079194(n)+A079197(n)+A079200(n)+A079201(n)=A079171(n).

Elements per row: 1,2,4,8,16,30,... (given by A027423, number of positive divisors of n!)

First four rows: 1; 0,3; 0,0,3,9; 0,0,0,3,0,0,16,39

A023815(x) is equal to the sum of the products of each element in row x of this sequence and the corresponding element of A079210.

The sum of each row x of this sequence is given by A001426(x).

LINKS

C. van den Bosch, Closed binary operations on small sets

Index entries for sequences related to semigroups

CROSSREFS

Cf. A001426, A023815, A079194, A079197, A079200. a(n, A027423(n)) = A058105(n).

Sequence in context: A151665 A171793 * A079209 A021773 A133109 A130208

Adjacent sequences:  A079198 A079199 A079200 * A079202 A079203 A079204

KEYWORD

nonn,tabf

AUTHOR

Christian van den Bosch (cjb(AT)cjb.ie), Jan 03 2003

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 16 20:28 EST 2012. Contains 205962 sequences.