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A029726
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Number of conjugacy classes of subgroups of the alternating group A_n.
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4
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1, 1, 1, 2, 5, 9, 22, 40, 137, 223, 430, 788, 2537, 4558
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Number of even permutation groups; also number of molecular species based on even permutation groups. - Christian G. Bower (bowerc(AT)usa.net), Feb 23 2006
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LINKS
| G. Pfeiffer, Subgroups
N. J. A. Sloane, Transforms
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PROG
| (GAP 4r2) Length(ConjugacyClassesSubgroups(AlternatingGroup(n)));
(MAGMA) n := 5; #SubgroupLattice(Alt(n));
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CROSSREFS
| Cf. A000001, A000638. Unlabeled version of A029725. Euler transform of A116653.
Sequence in context: A155042 A001851 A024822 * A052962 A173565 A002935
Adjacent sequences: A029723 A029724 A029725 * A029727 A029728 A029729
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KEYWORD
| hard,nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Reiner Martin (reinermartin(AT)hotmail.com), Dec 30 2001
a(10)-a(13) added by Christian G. Bower (bowerc(AT)usa.net), Feb 23 2006 based on Goetz Pfeiffer's web page.
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