

A097030


Numbers in the cycleattractors of length=14 if the function f(x)=A063919(x) is iterated; f(x) is the sum of unitary proper divisors.


21



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, 74790, 98106, 101478, 117258, 117270, 117450
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OFFSET

1,1


COMMENTS

This sequence collects 14cycleattractor elements for iteration of sumproperunitarydivisors.
A002827 provides 1cycle terms = unitary perfect numbers.
A063991 gives 2cycle elements = unitary amicable numbers.
A097024 collects true 5cycle elements, i.e., terms in endcycle of length 5 when A063919(x) function is iterated.
Concerning 3cycle elements, only {30,42,54} were encountered.


LINKS

Table of n, a(n) for n=1..42.
J. O. M. Pedersen, Known Unitary Sociable Numbers of order different from four [Via Internet Archive WaybackMachine]
J. O. M. Pedersen, Order 14 cycles, 2007.


EXAMPLE

These 42 numbers are in 3 different 14cycles. The first is: [2418, 2958, 3522, 3534, 4146, 4158, 3906, 3774, 4434, 4446, 3954, 3966, 3978, 3582]. [edited by Michel Marcus, Sep 29 2018]


CROSSREFS

Cf. A063919, A002827, 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


EXTENSIONS

More terms from Michel Marcus, Sep 29 2018


STATUS

approved



