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Search: id:A059866
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| A059866 |
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Quotient cycle length in continued fraction expansion of sqrt[2^n-1]. |
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+0
6
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| 2, 4, 2, 8, 2, 12, 2, 20, 2, 12, 2, 164, 2, 40, 2, 40, 2, 1208, 2, 660, 2, 1304, 2, 3056, 2, 2492, 2, 1080, 2, 13004, 2, 10232, 2, 11296, 2, 148736, 2, 56576, 2, 615482, 2, 44448, 2, 64, 2, 2628524, 2, 28219952, 2, 139558, 2, 3067080, 2, 2683626, 2
(list; graph; listen)
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OFFSET
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2,1
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EXAMPLE
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For n=7 and n=8 the quotient periods are: [[11], [3, 1, 2, 2, 7, 11, 7, 2, 2, 1, 3, 22]] and [[15], [1, 30]] with period lengths 12 and 2 respectively.
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MAPLE
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ith(numtheory): [seq(nops(cfrac(sqrt(2^k-1), 'periodic', 'quotients')[2]), k=2..30)];
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CROSSREFS
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Sequence in context: A094756 A110925 A073017 this_sequence A093895 A030057 A134066
Adjacent sequences: A059863 A059864 A059865 this_sequence A059867 A059868 A059869
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Feb 28 2001
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EXTENSIONS
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Corrected and extended by Naohiro Nomoto (n_nomoto(AT)yabumi.com), Nov 09 2001
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