A029725 Number of distinct subgroups of alternating group A_n, counting conjugates as distinct.
1, 1, 1, 2, 10, 59, 501, 3786, 48337, 508402, 6469142, 81711572, 2019160542, 31945830446, 749115591093, 15230426073946, 617313283787616, 13472047923890487
Offset: 0
Keywords
Links
- L. Naughton, G. Pfeiffer, Integer Sequences Realized by the Subgroup Pattern of the Symmetric Group, J. Int. Seq. 16 (2013) #13.5.8
- Götz Pfeiffer, Numbers of subgroups of various families of groups
- N. J. A. Sloane, Transforms
Programs
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Magma
n := 5; &+[ Length(s):s in SubgroupLattice(Alt(n)) ];
Formula
Exponential transform of A116652. - Christian G. Bower, Feb 23 2006
Extensions
a(9)-a(13) added by Christian G. Bower, Feb 23 2006 based on Goetz Pfeiffer's web page.
a(14)-a(17) from Vaclav Kotesovec, Jul 21 2022