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

0,4

Links

Table of n, a(n) for n=0..17.

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

Formula

Exponential transform of A116652. - Christian G. Bower, Feb 23 2006

Prog

(Magma) n := 5; &+[ Length(s):s in SubgroupLattice(Alt(n)) ];

Crossrefs

Cf. A005432. Labeled version of A029726.

Sequence in context: A202482 A240605 A095993 * A246480 A303361 A026161

Adjacent sequences: A029722 A029723 A029724 * A029726 A029727 A029728

Keyword

nonn

Author

N. J. A. Sloane.

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

Status

approved