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Search: id:A032447
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| A032447 |
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Inverse function of phi( ). |
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+0
5
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| 1, 2, 3, 4, 6, 5, 8, 10, 12, 7, 9, 14, 18, 15, 16, 20, 24, 30, 11, 22, 13, 21, 26, 28, 36, 42, 17, 32, 34, 40, 48, 60, 19, 27, 38, 54, 25, 33, 44, 50, 66, 23, 46, 35, 39, 45, 52, 56, 70, 72, 78, 84, 90, 29, 58, 31, 62, 51, 64, 68, 80, 96, 102, 120, 37, 57, 63, 74, 76, 108, 114, 126
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Arrange integers in order of increasing phi value; the phi values themselves form A007614.
Inverse of sequence A064275 considered as a permutation of the positive integers. - Howard A. Landman (howard(AT)polyamory.org), Sep 25 2001
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REFERENCES
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Sivaramakrishnan: The many facets of Euler's Totient, I. Nieuw Arch. Wisk. 4 (1986),175-190.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
Index entries for sequences that are permutations of the natural numbers
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EXAMPLE
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phi(1)=phi(2)=1, phi(3)=phi(4)=phi(6)=2, phi(5)=phi(8)=...=4,...
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MATHEMATICA
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Last[ Transpose[ Sort[ Table[ {EulerPhi[ i ], i}, {i, 1, 200} ] ] ] ]
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CROSSREFS
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Cf. A000010, A007614.
Adjacent sequences: A032444 A032445 A032446 this_sequence A032448 A032449 A032450
Sequence in context: A053212 A118316 A080738 this_sequence A058213 A080997 A054582
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KEYWORD
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nonn,easy,nice
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AUTHOR
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Ursula Gagelmann (gagelmann(AT)altavista.net)
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EXTENSIONS
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Example corrected, more terms and program from Olivier Gerard (02/99).
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