A029725 - OEIS

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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 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,4`
	LINKS	`G. Pfeiffer, Subgroups` `N. J. A. Sloane, Transforms`
	FORMULA	`Exponential transform of A116652. - Christian G. Bower (bowerc(AT)usa.net), Feb 23 2006`
	PROG	`(MAGMA) n := 5; &+[ Length(s):s in SubgroupLattice(Alt(n)) ];`
	CROSSREFS	`Cf. A005432. Labeled version of A029726.` `Sequence in context: A186758 A202482 A095993 * A026161 A025188 A114620` `Adjacent sequences: A029722 A029723 A029724 * A029726 A029727 A029728`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`
	EXTENSIONS	`a(9)-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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Last modified February 16 02:51 EST 2012. Contains 205860 sequences.