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A079202 Number of isomorphism classes of non-associative non-commutative non-anti-associative non-anti-commutative closed binary operations on a set of order n, listed by class size. 9
0, 0, 0, 0, 0, 32, 2155, 0, 0, 0, 12, 60, 184, 34544, 147032271 (list; graph; refs; listen; history; internal format)
OFFSET

1,6

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; 0,0; 0,0,32,2155; 0,0,0,12,60,184,34544,147032271

A079230(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 A079231(x).

LINKS

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

Index entries for sequences related to groupoids

CROSSREFS

Cf. A079203, A079204, A079205, A079197, A079207, A079208, A079209, A079230, A079231.

Sequence in context: A159364 A202734 A202547 * A085526 A101441 A180954

Adjacent sequences:  A079199 A079200 A079201 * A079203 A079204 A079205

KEYWORD

nonn,tabf

AUTHOR

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

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Last modified February 15 05:38 EST 2012. Contains 205694 sequences.