A132946 - OEIS

%I #9 Jul 26 2022 01:35:16

%S 13,20,35,37,39,83,86,221,276,198,303,222,466,368,417,1439,1334,1831,

%T 7841,4710,6486,5900,4853,2240,1237,5039,4903,7927,20253,13404,24127,

%U 46007,43014,259691,607337,453941,474549,1741702,1866968,15077819,138558473,478592581

%N Trajectory of 13 under map n -> A132948(n).

%C 13 is the smallest number that does not belong to a cycle with elements <= 260000. Further numbers that do not belong to a cycle with elements <= 260000 and do not occur in the trajectory of a smaller number are 15, 32, 45, 59, 72, 76, 81, 85, 95, ... .

%C Conjecture: Sequence is not periodic.

%H Rémy Sigrist, <a href="/A132946/a132946.txt">C++ program for A132946</a>

%e a(1) = A132948(13) = 20; a(2) = A132948(20) = 35.

%o (C++) See Links section.

%Y Cf. A132947, A132948, A132949.

%K nonn

%O 0,1

%A _Klaus Brockhaus_, Sep 14 2007

%E a(35)-a(40) from _Rémy Sigrist_, Jan 02 2022

%E a(41) from _Jinyuan Wang_, Jul 25 2022