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A128934 Number of centrist groupoids with n elements. 0
1, 0, 0, 58, 6634, 0 (list; graph; refs; listen; history; internal format)
OFFSET

1,4

COMMENTS

Systems with a binary operation that satisfies AB.BA=B. The rule is anti-commutative. Any central groupoid is centrist.

For comparison, a central groupoid is a system with a binary operator that satisfies the equation AB.BC=B (or (AB)(BC)=B). These have the curious property that the finite systems have a square number of elements. What is the beginning of the sequence giving the number of central groupoids of order n^2?

CROSSREFS

Sequence in context: A017721 A207278 A042625 * A201988 A116103 A116115

Adjacent sequences:  A128931 A128932 A128933 * A128935 A128936 A128937

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Apr 28 2007, based on email from Richard Schroeppel (rcs(AT)CS.Arizona.EDU), Mar 15 2007.

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Last modified February 17 05:54 EST 2012. Contains 205985 sequences.