

A125737


Numbers that appear in the successive application of the sequence A125736 (sum of the neighbors integerlog).


0




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



