

A236146


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


1



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, 0, 0, 0
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OFFSET

1,5


COMMENTS

Since a primitive quandle is connected, we have a(n) <= A181771(n) for all n.
Furthermore, since a primitive quandle is simple, we have a(n) <= A196111(n) for all n.


LINKS

James McCarron, Table of n, a(n) for n = 1..34
Wikipedia, Racks and quandles
James McCarron, Connected Quandles with Order Equal to Twice an Odd Prime
Leandro Vendramin, Doubly transitive groups and cyclic quandles


FORMULA

For odd primes p, a(p) = p  2.


CROSSREFS

Cf. A181771, A181769, A196111.
Sequence in context: A187886 A324103 A130054 * A196111 A261628 A007431
Adjacent sequences: A236143 A236144 A236145 * A236147 A236148 A236149


KEYWORD

nonn,hard,more


AUTHOR

James McCarron, Feb 03 2014


STATUS

approved



