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A079209
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Number of isomorphism classes of associative commutative non-anti-associative non-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, 0, 3, 0, 0, 3, 9, 0, 0, 0, 3, 0, 0, 16, 39
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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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; 0,3; 0,0,3,9; 0,0,0,3,0,0,16,39
A079244(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 A079245(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, A079208, A079244, A079245.
Sequence in context: A151665 A171793 A079201 * A021773 A133109 A130208
Adjacent sequences: A079206 A079207 A079208 * A079210 A079211 A079212
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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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