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Search: id:A054741
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| A054741 |
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Totient(n) < cototient(n). |
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+0
8
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| 6, 10, 12, 14, 18, 20, 22, 24, 26, 28, 30, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 105, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 130, 132, 134, 136
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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For powers of 2, the two function values are equal.
Also numbers n such that the arithmetic mean of distinct prime factors of n is not an integer. [From Ctibor O. Zizka (c.zizka(AT)email.cz), Oct 06 2008]
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FORMULA
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n such that A000010(n)<A051953(n)
a(n) seems to be asymptotic to c*n with c=1.9566...... - Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 20 2002
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EXAMPLE
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For n = 20, EulerPhi[20] = 8, Cototient[20] = 12, 8 = Phi(20) < 20-Phi(20) = 12; for n = 21, the opposite holds: Phi = 12, 21-Phi = 8.
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MATHEMATICA
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Select[ Range[300], 2EulerPhi[ # ] < # &] (from Robert G. Wilson v Jan 10 2004)
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CROSSREFS
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Cf. A000010, A051953, A005408, A036798, A089684. Complement: A115405.
Sequence in context: A056868 A069209 A060702 this_sequence A098902 A100367 A114989
Adjacent sequences: A054738 A054739 A054740 this_sequence A054742 A054743 A054744
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 26 2000
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