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A060689 Number of non-Abelian groups of order n. 10
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; text; 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!}] (* Vladimir Joseph Stephan Orlovsky, Feb 12 2010 *)

CROSSREFS

Cf. A000001, A000688.

Sequence in context: A272216 A225345 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

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Last modified July 24 12:42 EDT 2017. Contains 289760 sequences.