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%I #21 Mar 22 2024 09:18:42
%S 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,
%T 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,
%U 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
%N Number of nonabelian groups of order n.
%C a(n) = 0 iff n belongs to sequence A051532.
%H Andrey Zabolotskiy, <a href="/A060689/b060689.txt">Table of n, a(n) for n = 1..2047</a> [terms up to a(2015) from T. D. Noe, a(1024) corrected by Andrey Zabolotskiy]
%H <a href="/index/Gre#groups">Index entries for sequences related to groups</a>
%F a(n) = A000001(n) - A000688(n).
%e a(6) = 1 because the only non-Abelian group of order 6 is the symmetric group S_3.
%t Table[FiniteGroupCount[n]-FiniteAbelianGroupCount[n],{n,6!}] (* _Vladimir Joseph Stephan Orlovsky_, Feb 12 2010 *)
%Y Cf. A000001, A000688.
%K nonn
%O 1,8
%A Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 19 2001
%E Corrected by Avi Peretz (njk(AT)netvision.net.il), Apr 21 2001
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