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A060689
Number of nonabelian groups of order n.
13
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]
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
Sequence in context: A225345 A335427 A083280 * A053119 A162515 A175267
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