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A079178 Number of isomorphism classes of non-anti-associative closed binary operations on a set of order n, listed by class size. +0
6
0, 2, 6, 3, 10, 78, 3229, 2, 1, 12, 30, 246, 495, 48427, 178914959 (list; graph; listen)
OFFSET

1,2

COMMENT

A079178(n)+A079181(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; 2,6; 3,10,78,3229; 2,1,12,30,246,495,48427,178914959

A079176(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 A079177(x).

LINKS

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

Index entries for sequences related to groupoids

CROSSREFS

Cf. A079176, A079177, A079179.

Adjacent sequences: A079175 A079176 A079177 this_sequence A079179 A079180 A079181

Sequence in context: A109465 A090705 A130684 this_sequence A113552 A064736 A063929

KEYWORD

nonn,tabf

AUTHOR

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

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Last modified October 5 16:50 EDT 2008. Contains 144613 sequences.


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