

A226174


The number of selfdual connected quandles of order n.


0



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
(list;
graph;
refs;
listen;
history;
text;
internal format)



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 selfdual.


LINKS

Table of n, a(n) for n=1..35.
W. Edwin Clark, Mohamed Elhamdadi, Xiangdong 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 A127709 * A208482 A199856 A193554
Adjacent sequences: A226171 A226172 A226173 * A226175 A226176 A226177


KEYWORD

nonn,more,hard


AUTHOR

W. Edwin Clark, May 29 2013


STATUS

approved



