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A079189 Number of anti-commutative closed binary operations (groupoids) on a set of order n. +0
5
1, 8, 5832, 764411904, 32000000000000000, 669462604992000000000000000, 10090701947420325348336258984797490118656, 181258495964203522486308107281962138904949048737792 (list; graph; listen)
OFFSET

1,2

COMMENT

A079176(n)+A079179(n)=A002489(n).

Each a(n) is equal to the sum of the products of each element in row n of A079191 and the corresponding element of A079210.

LINKS

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

Index entries for sequences related to groupoids

FORMULA

(n^n)((n^2-n)^((n^2-n)/2))

CROSSREFS

Cf. A079186, A079190, A079191. a(n)=A023813(n)*A023813(n-1).

Adjacent sequences: A079186 A079187 A079188 this_sequence A079190 A079191 A079192

Sequence in context: A093937 A062030 A052497 this_sequence A114133 A115442 A090494

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

Edited and extended by Christian G. Bower (bowerc(AT)usa.net), Dec 12 2003

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


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