A242275 Number of isomorphism classes of 2-reductive abelian/medial quandles.

1, 1, 2, 5, 15, 55, 246, 1398, 10301, 98532, 1246479, 20837171, 466087624, 13943041873, 563753074915, 30784745506212

Offset: 1

Author

David Stanovsky, Oct 01 2014

Keywords

• nonn
• hard

Comments

Both names "abelian" and "medial" refer to the identity (xy)(uv)=(xu)(yv). A quandle is called 2-reductive if all orbits are projection quandles.

Links

• P. Jedlička, A. Pilitowska, D. Stanovský, A. Zamojska-Dzienio, The structure of medial quandles, arXiv:1409.8396 [math.GR], 2014.
• David Stanovský, Calculating with quandles GAP code to calculate the numbers.

Crossrefs

Cf. A165200.