id:A136043 - OEIS Search Results

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

+0
5

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 (list; graph; listen)

	OFFSET	`1,5`
	COMMENT	`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.`
	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: A094899 A057774 A089355 this_sequence A096815 A124445 A124279` `Adjacent sequences: A136040 A136041 A136042 this_sequence A136044 A136045 A136046`
	KEYWORD	`nonn`
	AUTHOR	`John W. Layman (layman(AT)math.vt.edu), Dec 12 2007`

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.

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