A136043 - OEIS

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A136043

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

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, 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, 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

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OFFSET

1,5

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..95.

EXAMPLE

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.

CROSSREFS

Cf. A001122, A136042, A135044.

Sequence in context: A057774 A089355 A302126 * A336420 A254055 A373367

Adjacent sequences: A136040 A136041 A136042 * A136044 A136045 A136046

KEYWORD

nonn

AUTHOR

John W. Layman, Dec 12 2007

STATUS

approved