login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Numbers n whose trajectory under the iteration of k -> (sigma(k)+phi(k))/2 reaches a fraction.
5

%I #12 Sep 17 2017 19:58:14

%S 4,8,9,12,14,15,16,18,20,24,25,28,32,33,34,35,36,42,48,49,50,54,55,56,

%T 62,63,64,69,70,72,76,77,78,81,84,85,86,87,88,90,93,94,95,96,98,99,

%U 100,102,104,105,108,110,111

%N Numbers n whose trajectory under the iteration of k -> (sigma(k)+phi(k))/2 reaches a fraction.

%C It would be nice to have an independent characterization of these numbers (not involving the map in the definition).

%H Hugo Pfoertner, <a href="/A291791/b291791.txt">Table of n, a(n) for n = 1..126</a>

%Y Union of A028982 \ {1,2} and A290001. Also the complement of A289997.

%Y Cf. A000010, A000203.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Sep 03 2017

%E B-file shortened by _N. J. A. Sloane_, Sep 17 2017