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A226174 The number of self-dual connected quandles of order n. 0

%I #11 Jan 31 2014 10:01:36

%S 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,

%T 3,0,1

%N The number of self-dual connected quandles of order n.

%C 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.

%H W. Edwin Clark, Mohamed Elhamdadi, Xiang-dong Hou, Masahico Saito, Timothy Yeatman, <a href="http://arxiv.org/abs/1107.5777">Connected Quandles Associated with Pointed Abelian Groups</a>

%H W. E. Clark, M. Elhamdadi, M. Saito, T. Yeatman, <a href="http://arxiv.org/abs/1312.3307">Quandle Colorings of Knots and Applications</a>, arXiv preprint arXiv:1312.3307, 2013

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

%Y See also Index to OEIS under quandles.

%K nonn,more,hard

%O 1,6

%A _W. Edwin Clark_, May 29 2013

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Last modified April 25 07:53 EDT 2024. Contains 371964 sequences. (Running on oeis4.)