id:A111773 - OEIS Search Results

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Number of n-element binary operation tables, out of a total n^n^2 tables, that satisfy the axioms for an Average system. Not culled for isomorphism. The Average system axioms are avg(A,A)=A, avg(A,B)=avg(B,A), avg(avg(A,B),avg(C,D)) = avg(avg(A,C),avg(B,D)).

+0
2

1, 2, 10, 92, 1321, 27882, 819330 (list; graph; listen)

	OFFSET	`1,2`
	REFERENCES	`Richard Schroeppel, Posting to Math-Fun Mailing List, May 01, 2005.`
	FORMULA	`Empirically satisfies the relation a(P)=1 (mod P) for primes odd P.`
	CROSSREFS	`Cf. A111772 (non-isomorphic systems).` `Sequence in context: A095937 A108528 A108209 this_sequence A063385 A063393 A026025` `Adjacent sequences: A111770 A111771 A111772 this_sequence A111774 A111775 A111776`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Nov 21 2005`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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