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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 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.)