A176187 - OEIS

A176187

Least period of sequence {f^(m)(n)},m=1,2,3,..., where f^(m) is the m-th iteration of A002326 (f^(1)=f), after possibly dropping some finite number of iterations

%I #4 Feb 27 2013 09:55:56

%S 1,1,1,1,1,1,1,1,1,3,1,1,1,3,3,1,1,1,3,1,1,3,1,1,3,1,1,1,3,1,3,1,1,3,

%T 1,1,3,1,3,1,3,1,1,3,1,1,1,3,1,3,3,1,1,1,3,3,3,1,1,3,3,1,3,1,3,1,3,3,

%U 1,3,1,3,3,1,1,1,3

%N Least period of sequence {f^(m)(n)},m=1,2,3,..., where f^(m) is the m-th iteration of A002326 (f^(1)=f), after possibly dropping some finite number of iterations

%C Conjecture: For every n>=0 the sequence {f^(m)(n)} is eventually periodic. Further calculations may show if there exist terms different from 1 and 3.

%e For n=0, we have: f(0)=1, f(1)=2, f(2)=4, f(4)=6, f(6)=12, f(12)=20, f(20)=20,... Thus a(1)=1.

%Y Cf. A002326

%K nonn

%O 0,10

%A _Vladimir Shevelev_, Apr 11 2010, Apr 20 2010