Search: id:A018216
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%I A018216
%S A018216 1,2,2,5,2,6,2,16,6,8,2,16,2,10,4
%N A018216 Maximal number of subgroups in a group with n elements.
%C A018216 For n >= 2 a(n)>=2 with equality iff n is prime.
%F A018216 a(n)=Maximum of {A061034(n), A083573(n)}. - Lekraj Beedassy (blekraj(AT)yahoo.com), 
               Oct 22 2004
%F A018216 (C_2)^m has A006116(m) subgroups, so this is a lower bound if n is a 
               power of 2 (e.g. a(16) >= 67). - N. J. A. Sloane (njas(AT)research.att.com), 
               Dec 01 2007
%e A018216 a(6) = 6 because there are two groups with 6 elements: C_6 with 4 subgroups 
               and S_3 with 6 subgroups.
%Y A018216 Cf. A061034.
%Y A018216 Sequence in context: A093660 A093663 A011143 this_sequence A059907 A024931 
               A029648
%Y A018216 Adjacent sequences: A018213 A018214 A018215 this_sequence A018217 A018218 
               A018219
%K A018216 nonn,nice,more
%O A018216 1,2
%A A018216 Ola Veshta (olaveshta(AT)my-deja.com), May 23 2001
%E A018216 More terms from Victoria A. Sapko (vsapko(AT)canes.gsw.edu), Jun 13 2003

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