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Search: id:A097030
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| A097030 |
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Numbers in the cycle-attractors of length=14 if the f[x]=A063919[x]function is iterated; f[x] is the sum of unitary proper divisors. |
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14
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| 2418, 2958, 3522, 3534, 3582, 3774, 3906, 3954, 3966, 3978, 4146, 4158, 4434, 4446, 24180, 29580, 35220, 35238, 35340, 35820, 37740, 38682, 39060, 39540, 39660, 39780, 41460, 41580, 44340, 44460, 45402, 49878, 65190, 65322, 74430, 74610
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OFFSET
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1,1
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COMMENT
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This sequence collects 14-cycle-attractor elements for iteration of sum-proper-unitary-divisors. A002187 provides 1-cycle terms = unitary perfect numbers A063991 gives 2-cycle elements = unitary amicable numbers A097024 collects true 5-cycle elements i.e. terms in end-cycle of length 5 when A063919[x] function is iterated. Concerning 3-cycle elements, only {30,42,54} were encountered.
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EXAMPLE
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These 42 numbers are in 3 different 14-cycles. The first is: [2418, 2958, 3522, 3534, 3582, 3774, 3906, 3954, 3966, 3978, 4146, 4158, 4434, 4446]
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CROSSREFS
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Cf. A063919, A002187, A063991, A097024.
Adjacent sequences: A097027 A097028 A097029 this_sequence A097031 A097032 A097033
Sequence in context: A031637 A031547 A031727 this_sequence A131759 A078868 A032734
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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), Aug 30 2004
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