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Search: id:A029726
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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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+0
5
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| 1, 1, 1, 2, 5, 9, 22, 40, 137, 223, 430, 788, 2537, 4558
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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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
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G. Pfeiffer, Subgroups
N. J. A. Sloane, Transforms
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PROGRAM
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(GAP 4r2) Length(ConjugacyClassesSubgroups(AlternatingGroup(n)));
(MAGMA) n := 5; #SubgroupLattice(Alt(n));
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CROSSREFS
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Cf. A000001, A000638. Unlabeled version of A029725. Euler transform of A116653.
Sequence in context: A117186 A001851 A024822 this_sequence A052962 A002935 A128266
Adjacent sequences: A029723 A029724 A029725 this_sequence A029727 A029728 A029729
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KEYWORD
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hard,nonn
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AUTHOR
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njas
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EXTENSIONS
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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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