cp's OEIS Frontend

A181771 Number of isomorphism classes of connected quandles of order n.

%I A181771 #53 Nov 11 2024 20:30:13
%S A181771 1,0,1,1,3,2,5,3,8,1,9,10,11,0,7,9,15,12,17,10,9,0,21,42,34,0,65,13,
%T A181771 27,24,29,17,11,0,15,73,35,0,13,33,39,26,41,9,45,0,45
%N A181771 Number of isomorphism classes of connected quandles of order n.
%C A181771 It is not clear whether the empty quandle is connected, so the sequence starts at order 1 instead of 0.
%D A181771 Hulpke, A. Personal communication, 2014.
%D A181771 Holt, D.; Royle, G. Personal communication, 2014.
%H A181771 John J. Cannon and Derek F. Holt, <a href="http://projecteuclid.org/euclid.em/1227121384">The transitive permutation groups of degree 32</a>, Experiment. Math. 17 (2008), no. 3, 307--314.
%H A181771 A. Hulpke, <a href="http://dx.doi.org/10.1016/j.jsc.2004.08.002">Constructing transitive permutation groups</a>, J. Symbolic Comput. 39 (2005), 1-30.
%H A181771 J. McCarron, <a href="http://arxiv.org/abs/1210.2150">Connected Quandles with Order Equal to Twice an Odd Prime</a>, arXiv preprint arXiv:1210.2150 [math.GR], 2012. - From _N. J. A. Sloane_, Dec 31 2012
%H A181771 Sam Nelson, <a href="http://www1.cmc.edu/pages/faculty/VNelson/quandles.html">Quandles and Racks</a>.
%H A181771 Leandro Vendramin, <a href="http://arxiv.org/abs/1105.5341">On the classification of quandles of low order</a>, arXiv:1105.5341 [math.GT], 2011-2012.
%H A181771 Leandro Vendramin and Matías Graña, <a href="http://code.google.com/p/rig/">Rig, a GAP package for racks and quandles</a>.
%o A181771 (GAP) # (using the Rig package)
%o A181771 LoadPackage("rig");
%o A181771 for n in [1..47] do  Display(NrSmallQuandles(n));  od;
%o A181771 # _Leandro Vendramin_, Sep 14 2014
%Y A181771 Cf. A181769, A176077.
%K A181771 nonn,hard,more
%O A181771 1,5
%A A181771 _James McCarron_
%E A181771 Ninth term corrected by _James McCarron_, Dec 05 2010
%E A181771 More terms from _Leandro Vendramin_, Sep 14 2014