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Number of primitive quandles of order n, up to isomorphism. A quandle is primitive if its inner automorphism groups acts primitively on it.
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%I #54 Nov 30 2014 14:11:18

%S 1,0,1,1,3,0,5,2,3,1,9,0,11,1,3,15,0,17,0,1,0,21,0,10,0,8,2,27,0,29,6,

%T 0,0,0

%N Number of primitive quandles of order n, up to isomorphism. A quandle is primitive if its inner automorphism groups acts primitively on it.

%C Since a primitive quandle is connected, we have a(n) <= A181771(n) for all n.

%C Furthermore, since a primitive quandle is simple, we have a(n) <= A196111(n) for all n.

%H James McCarron, <a href="/A236146/b236146.txt">Table of n, a(n) for n = 1..34</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Racks_and_quandles">Racks and quandles</a>

%H James McCarron, <a href="http://arxiv.org/abs/1210.2150">Connected Quandles with Order Equal to Twice an Odd Prime</a>

%H Leandro Vendramin, <a href="http://arxiv.org/abs/1401.4574">Doubly transitive groups and cyclic quandles</a>

%F For odd primes p, a(p) = p - 2.

%Y Cf. A181771, A181769, A196111.

%K nonn,hard,more

%O 1,5

%A _James McCarron_, Feb 03 2014