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

Author

W. Edwin Clark, Dec 06 2010

Keywords

• nonn
• hard
• more

Comments

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

Examples

			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.
		

Links

• 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.

Crossrefs

Cf. A181771, A181769.

Extensions

More terms from James McCarron, Aug 26 2011