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Search: id:A062771
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| A062771 |
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Order of automorphism group of the group C_n X C_2 (where C_n is the cyclic group with n elements). |
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+0
3
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| 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, 18, 48, 28, 48, 30, 64, 20, 96, 24, 48, 36, 108, 24, 64, 40, 72, 42, 80, 24, 132, 46, 64, 42, 120, 32, 96, 52, 108, 40, 96, 36, 168, 58, 64, 60, 180, 36, 128, 48, 120, 66, 128, 44
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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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.
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FORMULA
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For odd n: a(n) = phi(n) (sequence A000010).
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
Conjecture confirmed - Christian G. Bower, May 20 2005
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CROSSREFS
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Adjacent sequences: A062768 A062769 A062770 this_sequence A062772 A062773 A062774
Sequence in context: A082577 A098686 A079718 this_sequence A071874 A011331 A021618
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KEYWORD
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nonn,mult
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AUTHOR
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Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 18 2001
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EXTENSIONS
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More terms from Christian G. Bower (bowerc(AT)usa.net), May 20 2005
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