A060689 - OEIS

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A060689

Number of non-Abelian groups of order n.

0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 9, 0, 3, 0, 3, 1, 1, 0, 12, 0, 1, 2, 2, 0, 3, 0, 44, 0, 1, 0, 10, 0, 1, 1, 11, 0, 5, 0, 2, 0, 1, 0, 47, 0, 3, 0, 3, 0, 12, 1, 10, 1, 1, 0, 11, 0, 1, 2, 256, 0, 3, 0, 3, 0, 3, 0, 44, 0, 1, 1, 2, 0, 5, 0, 47, 10, 1, 0, 13, 0, 1, 0, 9, 0, 8, 0, 2 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,8`
	COMMENTS	`a(n) = 0 iff n belongs to sequence A051532.`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..2015` `Index entries for sequences related to groups`
	FORMULA	`a(n) = A000001(n) - A000688(n)`
	EXAMPLE	`a(6) = 1 because the only non-Abelian group of order 6 is the symmetric group S_3.`
	MATHEMATICA	`Table[FiniteGroupCount[n]-FiniteAbelianGroupCount[n], {n, 6!}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Feb 12 2010]`
	CROSSREFS	`Cf. A000001, A000688.` `Sequence in context: A191255 A007814 A083280 * A053119 A162515 A175267` `Adjacent sequences: A060686 A060687 A060688 * A060690 A060691 A060692`
	KEYWORD	`nonn`
	AUTHOR	`Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 19 2001`
	EXTENSIONS	`Corrected by Avi Peretz (njk(AT)netvision.net.il), Apr 21 2001`

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Last modified February 15 17:46 EST 2012. Contains 205835 sequences.