A060689 Number of nonabelian 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

Offset

1,8

Comments

a(n) = 0 iff n belongs to sequence A051532.

Links

Andrey Zabolotskiy, Table of n, a(n) for n = 1..2047 [terms up to a(2015) from T. D. Noe, a(1024) corrected by Andrey Zabolotskiy]

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!}] (* Vladimir Joseph Stephan Orlovsky, Feb 12 2010 *)

Crossrefs

Cf. A000001, A000688.

Sequence in context: A225345 A335427 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

Status

approved