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A097030 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. 13
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..36.

EXAMPLE

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]

CROSSREFS

Cf. A063919, A002187, A063991, A097024.

Sequence in context: A159346 A256835 A237940 * A204367 A131759 A254901

Adjacent sequences:  A097027 A097028 A097029 * A097031 A097032 A097033

KEYWORD

nonn

AUTHOR

Labos Elemer, Aug 30 2004

STATUS

approved

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Last modified January 20 17:21 EST 2018. Contains 297960 sequences.