A066060 - OEIS

This site is supported by donations to The OEIS Foundation.

A066060

Number of nilpotent groups of order n.

1, 1, 1, 2, 1, 1, 1, 5, 2, 1, 1, 2, 1, 1, 1, 14, 1, 2, 1, 2, 1, 1, 1, 5, 2, 1, 5, 2, 1, 1, 1, 51, 1, 1, 1, 4, 1, 1, 1, 5, 1, 1, 1, 2, 2, 1, 1, 14, 2, 2, 1, 2, 1, 5, 1, 5, 1, 1, 1, 2, 1, 1, 2, 267, 1, 1, 1, 2, 1, 1, 1, 10, 1, 1, 2, 2, 1, 1, 1, 14, 15, 1, 1, 2, 1, 1, 1, 5, 1, 2, 1, 2, 1, 1, 1, 51, 1, 2, 2, 4, 1 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,4`
	COMMENTS	`Multiplicative with a(p^m) equal to the number of groups of order p^m.` `Nilpotent groups have the property that each proper subgroup is properly contained in its normalizer. A finite nilpotent group is the direct product of its Sylow p-subgroups. [Jonathan Vos Post, Feb 08, 2011].`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..2015 (using data from A000001)` `John Renze, Nilpotent Group.`
	CROSSREFS	`Cf. A000001, A056867, A069739.` `Sequence in context: A157249 A155586 A069739 * A008550 A064094 A090182` `Adjacent sequences: A066057 A066058 A066059 * A066061 A066062 A066063`
	KEYWORD	`nonn,nice,mult`
	AUTHOR	`Reiner Martin (reinermartin(AT)hotmail.com), Dec 29 2001`

Content is available under The OEIS End-User License Agreement .

Last modified February 13 13:36 EST 2012. Contains 205484 sequences.