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

1,6

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

Table of n, a(n) for n=1..35.

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.

Sequence in context: A005131 A105477 A325772 * A208482 A199856 A301906

Adjacent sequences: A226171 A226172 A226173 * A226175 A226176 A226177

Keyword

nonn,more,hard

Author

W. Edwin Clark, May 29 2013

Status

approved