%I
%S 1,1,1,1,2,1,1,1,3,2,5,1,6,1,1,1,4,3,9,2,2,5,4,1,10,6,9,1,14,1,1,1,5,
%T 4,5,3,18,9,4,2,10,2,7,5,5,4,9,1,10,10,2,6,26,9,8,1,9,14,29,1,30,1,1,
%U 1,6,5,33,4,11,5,14,3,3,18,9,9,15,4,17,2,27,10,41,2,2,7,11,5,4,5,4,4,3,9,14
%N Periodlengths of the base2 MRexpansions of the reciprocals of the positive integers.
%C It appears that if p is a prime with 2 as a primitive root (A001122), then a(p)=(p1)/2. This has been confirmed for primes up to 2000. See A136042 for the definition of the MRexpansion of a positive real number.
%e In A136042 it is shown that the base2 MRexpansion of 1/5 is {3,1,3,1,3,1,3,1,...}, with periodlength 2, so a(5)=2.
%Y Cf. A001122, A136042, A135044.
%K nonn
%O 1,5
%A _John W. Layman_, Dec 12 2007
