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A079194 Number of isomorphism classes of non-associative non-commutative closed binary operations on a set of order n, listed by class size. +0
6
0, 2, 2, 0, 8, 66, 3115, 0, 1, 14, 18, 270, 467, 48260, 178888824 (list; graph; listen)
OFFSET

1,2

COMMENT

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: 0; 2,2; 0,8,66,3115; 0,1,14,18,270,467,48260,178888824

A079192(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 A079193(x).

LINKS

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

Index entries for sequences related to groupoids

CROSSREFS

Cf. A079192, A079193, A079197, A079200, A079201.

Sequence in context: A009187 A009803 A009615 this_sequence A117739 A111810 A019265

Adjacent sequences: A079191 A079192 A079193 this_sequence A079195 A079196 A079197

KEYWORD

nonn,tabf

AUTHOR

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

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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