cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A226172 The number of faithful connected quandles of order n.

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%I A226172 #14 Jan 31 2014 10:00:30
%S A226172 1,0,1,1,3,2,5,2,8,1,9,8,11,0,7,9,15,12,17,9,9,0,21,27,34,0,62,13,27,
%T A226172 20,29,8,11,0,15
%N A226172 The number of faithful connected quandles of order n.
%C A226172 Let Q be a quandle with product *. Let R_a: x ->x*a for a,x in Q. By definition R_a is an automorphism of the quandle Q. If the mapping a->R_a is an injection then the quandle is said to be faithful. A quandle is faithful precisely when the columns of the Cayley table of the quandle are distinct.
%C A226172 This sequence was computed using Leandro Vendramin's list of all connected quandles of order at most 35.
%C A226172 Warning: Vendramin's quandles are assumed to be left distributive and hence one must reverse the order of the product to get the (right distributive) quandles used by knot theorists.
%H A226172 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
%H A226172 F. J. B. J. Clauwens, <a href="http://arxiv.org/abs/1011.2456">Small Connected Quandles</a>, arxiv 1011.2456, Nov 10 2010
%H A226172 Leandro Vendramin, <a href="http://arxiv.org/abs/1105.5341">On the classification of quandles of low order</a>, arXiv:1105.5341v1 [math.GT], May 26 2011
%Y A226172 Cf. A181771 (gives the number of connected quandles of order n).
%Y A226172 See also Index to OEIS under quandles.
%K A226172 nonn,more,hard
%O A226172 1,5
%A A226172 _W. Edwin Clark_, May 29 2013