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Search: id:A008477
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| A008477 |
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If n = Product (p_j^k_j) then a(n) = Product (k_j^p_j). |
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+0
7
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| 1, 1, 1, 4, 1, 1, 1, 9, 8, 1, 1, 4, 1, 1, 1, 16, 1, 8, 1, 4, 1, 1, 1, 9, 32, 1, 27, 4, 1, 1, 1, 25, 1, 1, 1, 32, 1, 1, 1, 9, 1, 1, 1, 4, 8, 1, 1, 16, 128, 32, 1, 4, 1, 27, 1, 9, 1, 1, 1, 4, 1, 1, 8, 36, 1, 1, 1, 4, 1, 1, 1, 72, 1
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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For any n, the sequence n, a(n), a(a(n)), a(a(a(n))), ... is eventually periodic with period <= 2 [Farrokhi]. - N. J. A. Sloane, Apr 25 2009
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REFERENCES
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M. Farrokhi, Problem 11315, Amer. Math. Monthly, 116 (2009), 470. - from N. J. A. Sloane, Apr 25 2009
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FORMULA
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Multiplicative with a(p^e) = e^p. - David W. Wilson (davidwwilson(AT)comcast.net), Aug 01, 2001.
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MATHEMATICA
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Prepend[ Array[ Times @@ Map[ Power @@ RotateLeft[ #1, 1 ]&, FactorInteger[ # ] ]&, 100, 2 ], 1 ]
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CROSSREFS
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Sequence in context: A057521 A084885 A112538 this_sequence A127707 A113196 A037291
Adjacent sequences: A008474 A008475 A008476 this_sequence A008478 A008479 A008480
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KEYWORD
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nonn,mult
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com)
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