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A125737 Numbers that appear in the successive application of the sequence A125736 (sum of the neighbors integer-log). 0
21, 22, 28, 29, 33, 38, 53 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

There are two cycles (28 38 53) and (21 22 33 29), that are the attractors in this fixed point iteration.

LINKS

Table of n, a(n) for n=0..6.

EXAMPLE

nilog(28)=ilog(27)+ilog(29)=ilog(3^3)+ilog(29)=3*3+29=38.

nilog(38)=ilog(37)+ilog(39)=ilog(37)+ilog(13*3)=37+(13+3)=53.

nilog(53)=ilog(52)+ilog(54)=ilog(2^2*13)+ilog(2*3^3)=(2*2+13)+(2+3*3)=28.

MATHEMATICA

f[n_] := Plus @@ Times @@@ FactorInteger@ n; f[1] = 0; g[n_] := f[n - 1] + f[n + 1]; Union[ Nest[g, #, 31] & /@ Range[3, 500000]]

CROSSREFS

Sequence in context: A333908 A241851 A295747 * A160782 A022391 A041890

Adjacent sequences:  A125734 A125735 A125736 * A125738 A125739 A125740

KEYWORD

fini,nonn

AUTHOR

Carlos Alves, Dec 02 2006

STATUS

approved

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Last modified September 20 07:21 EDT 2020. Contains 337264 sequences. (Running on oeis4.)