A176077 Number of isomorphism classes of homogeneous quandles of order n.

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

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) 37-65

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: A364138 A300868 A349239 * A332778 A263694 A210743

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