

A176077


Number of isomorphism classes of homogeneous quandles of order n.


4



1, 1, 2, 3, 4, 8, 6, 15, 14, 14, 10, 61, 12, 25, 33, 142, 16, 203, 18, 266, 94, 127, 22
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OFFSET

1,3


COMMENTS

A homogeneous quandle is a quandle whose automorphism group acts transitively on the elements of the quandle.


LINKS

Table of n, a(n) for n=1..23.
David Joyce, A classifying invariant of knots, the knot quandle, J. Pure Appl. Algebra 23 (1982) 3765
Sam Nelson, Quandles and Racks
Wikipedia, Quandles.


EXAMPLE

a(2) = 1 since for order 2 there is only the trivial quandle with product x*y=x for all x,y. The trivial quandle has automorphism group S_2 which acts transitively on the two element quandle.


CROSSREFS

Cf. A181771, A181769.
Sequence in context: A222256 A223540 A300868 * A263694 A210743 A210750
Adjacent sequences: A176074 A176075 A176076 * A176078 A176079 A176080


KEYWORD

nonn,hard,more


AUTHOR

W. Edwin Clark, Dec 06 2010


EXTENSIONS

More terms from James McCarron, Aug 26 2011


STATUS

approved



