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A079208
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Number of isomorphism classes of associative non-commutative non-anti-associative anti-commutative closed binary operations on a set of order n, listed by class size.
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9
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0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| A079202(n)+A079203(n)+A079204(n)+A079205(n)+A079197(n)+A079207(n)+A079208(n)+A079209(n)+A063524(n)=A079171(n)
Elements per row: 1,2,4,8,16,30,... (given by A027423, number of positive divisors of n!)
First four rows: 0; 2,0; 2,0,0,0; 2,0,0,0,1,0,0,0
A079242(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 A079243(x).
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LINKS
| C. van den Bosch, Closed binary operations on small sets
Index entries for sequences related to semigroups
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CROSSREFS
| Cf. A079202, A079203, A079204, A079205, A079197, A079207, A079209, A079242, A079243.
Sequence in context: A193526 A160498 A089800 * A069851 A197629 A198255
Adjacent sequences: A079205 A079206 A079207 * A079209 A079210 A079211
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KEYWORD
| nonn,tabf
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AUTHOR
| Christian van den Bosch (cjb(AT)cjb.ie), Jan 03 2003
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