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Search: id:A115060
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| A115060 |
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Maximum peak of aliquot sequence starting at n. |
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+0
5
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 13, 14, 15, 16, 17, 21, 19, 22, 21, 22, 23, 55, 25, 26, 27, 28, 29, 259, 31, 32, 33, 34, 35, 55, 37, 38, 39, 50, 41, 259, 43, 50, 45, 46, 47, 76, 49, 50, 51, 52, 53, 259, 55, 64, 57, 58, 59, 172
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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According to Catalan's conjecture all aliquot sequences end in a prime followed by 1, a perfect number, a friendly pair or an aliquot cycle. Some sequences seem to be open ended and keep growing forever i.e. 276. Most sequences only go down (i.e. 10 - 8 - 7 - 1), so for most cases in this sequence, a(n) = n. The first number to achieve a significantly high peak is 138
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LINKS
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W. Creyaufmueller, Aliquot Sequences.
Paul Zimmerman, Aliquot Sequences.
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EXAMPLE
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a(24)=55 because the aliquot sequence starting at 24 is: 24 - 36 - 55 - 17 - 1 so the maximum peak of this sequence is 55.
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CROSSREFS
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Cf. A098007, A003023, A098008, A098009, A098010, A044050, A007906, A037020, A063769, A005114.
Sequence in context: A061430 A065448 A069751 this_sequence A004840 A032994 A072356
Adjacent sequences: A115057 A115058 A115059 this_sequence A115061 A115062 A115063
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KEYWORD
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nonn
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AUTHOR
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Sergio Pimentel (ferdiego(AT)cox.net), Mar 06 2006
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