A226174 The number of self-dual connected quandles of order n.

1, 0, 1, 1, 1, 2, 1, 1, 4, 1, 1, 10, 1, 0, 5, 5, 1, 8, 1, 8, 5, 0, 1, 40, 6, 0, 21, 3, 1, 18, 1, 7, 3, 0, 1

Offset: 1

Author

W. Edwin Clark, May 29 2013

Keywords

• nonn
• more
• hard

Comments

Given a quandle (Q,*) the dual quandle is (Q,o) where c = a*b if and only if a = cob. If a quandle is isomorphic to its dual quandle it is said to be self-dual.

Links

• W. Edwin Clark, Mohamed Elhamdadi, Xiang-dong Hou, Masahico Saito, Timothy Yeatman, Connected Quandles Associated with Pointed Abelian Groups
• W. E. Clark, M. Elhamdadi, M. Saito, T. Yeatman, Quandle Colorings of Knots and Applications, arXiv preprint arXiv:1312.3307, 2013

Crossrefs

Cf. A181771 (number of connected quandles of order n).

See also Index to OEIS under quandles.