%I A062771
%S A062771 1,6,2,8,4,12,6,16,6,24,10,16,12,36,8,32,16,36,18,32,12,60,22,32,20,72,
%T A062771 18,48,28,48,30,64,20,96,24,48,36,108,24,64,40,72,42,80,24,132,46,64,42,
%U A062771 120,32,96,52,108,40,96,36,168,58,64,60,180,36,128,48,120,66,128,44
%N A062771 Order of automorphism group of the group C_n X C_2 (where C_n is the 
               cyclic group with n elements).
%C A062771 Multiplicative with a(2) = 6, a(2^e) = 2^(e+1), e>1, a(p^e) = (p-1)*p^(e-1), 
               p>2. Christian G. Bower (bowerc(AT)usa.net) May 18, 2005.
%F A062771 For odd n: a(n) = phi(n) (sequence A000010).
%F A062771 Conjecture: a(n) = 6*phi(n) if n mod 4 = 2 and a(n) = 4*phi(n) if n mod 
               4 = 0. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 20 2001
%F A062771 Conjecture confirmed - Christian G. Bower, May 20 2005
%Y A062771 Sequence in context: A082577 A098686 A079718 this_sequence A071874 A011331 
               A155687
%Y A062771 Adjacent sequences: A062768 A062769 A062770 this_sequence A062772 A062773 
               A062774
%K A062771 nonn,mult
%O A062771 1,2
%A A062771 Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 18 2001
%E A062771 More terms from Christian G. Bower (bowerc(AT)usa.net), May 20 2005