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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 14 12:11 EDT 2021. Contains 342949 sequences. (Running on oeis4.)