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Search: id:A155072
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| A155072 |
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Positive integers n such that the base-2 MR-expansion of 1/n is periodic with period (n-1)/4. |
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+0
3
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| 17, 41, 97, 137, 193, 313, 401, 409, 449, 521, 569, 761, 769, 809, 857, 929, 977
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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See A136042 for the definition of the MR-expansion of a positive real number.
It appears that all terms of this sequence are primes of the form 8n+1 (A007519).
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EXAMPLE
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Applying the definition of the base-2 MR-expansion to 1/17 gives 1/17->2/17->4/17->8/17->16/17->32/17->15/17->30/17->13/17->26/17->9/17->18/17->1/17->..., which shows that the expansion begins {5,1,1,1,...} and has period 4=(17-1)/4.
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CROSSREFS
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Cf. A007519, A136042, A136043
Sequence in context: A158014 A139879 A070179 this_sequence A145991 A089637 A139961
Adjacent sequences: A155069 A155070 A155071 this_sequence A155073 A155074 A155075
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KEYWORD
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nonn
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AUTHOR
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John W. Layman (layman(AT)math.vt.edu), Jan 19 2009
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