A218975 Number of connected cyclic conjugacy classes of subgroups of the alternating group.

1, 1, 0, 1, 1, 1, 2, 1, 3, 3, 4, 2, 8, 2

Offset: 0

Author

Liam Naughton, Nov 28 2012

Keywords

• nonn
• more

Comments

a(n) is also the number of connected even partitions of n in the following sense. Given a partition of n, the vertices are the parts of the partition and two vertices are connected if and only if their gcd is greater than 1. We call a partition connected if the graph is connected.

Links

• Liam Naughton and Goetz Pfeiffer, Integer sequences realized by the subgroup pattern of the symmetric group, arXiv:1211.1911 and J. Int. Seq. 16 (2013) #13.5.8
• Liam Naughton, CountingSubgroups.g
• Liam Naughton and Goetz Pfeiffer, Tomlib, The GAP table of marks library

Crossrefs

Cf. A218970