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 A136043 Period-lengths of the base-2 MR-expansions of the reciprocals of the positive integers. 4

%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 Period-lengths of the base-2 MR-expansions 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)=(p-1)/2. This has been confirmed for primes up to 2000. See A136042 for the definition of the MR-expansion of a positive real number.

%e In A136042 it is shown that the base-2 MR-expansion of 1/5 is {3,1,3,1,3,1,3,1,...}, with period-length 2, so a(5)=2.

%Y Cf. A001122, A136042, A135044.

%K nonn

%O 1,5

%A _John W. Layman_, Dec 12 2007

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Last modified June 18 06:58 EDT 2021. Contains 345098 sequences. (Running on oeis4.)