A132990 - OEIS

%I #2 Mar 30 2012 17:27:54

%S 11,16,18,31,32,33,23,21,37,79,67,83,54,63,77,65,157,115,158,155,227,

%T 239,250,176,150,96,84,62,98,87,50,46,40,29,22,20,24,30,38,41,36,76,

%U 64,52,60,47,53,121,331,202,112,307,507,453,267,190,128,90,116,107,147,122

%N Trajectory of 11 under map n -> A132988(n).

%C 11 is the smallest number that does not belong to a cycle with elements <= 200000. Further numbers that do not belong to a cycle with elements <= 200000 and do not occur in the trajectory of a smaller number are 25, 59, 73, 75, 99, 125, ... .

%C Conjecture: Sequence is not periodic.

%e a(1) = A132988(11) = 16; a(2) = A132988(16) = 18.

%Y Cf. A132988, A132989, A132991.

%K nonn

%O 0,1

%A _Klaus Brockhaus_, Sep 14 2007