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Search: id:A098458
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| A098458 |
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Periods of the Farey Bisection Expansions (FBE) of Sqrt[n], for n=1,2,3,... |
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+0
2
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| 1, 4, 3, 1, 8, 6, 7, 5, 1, 12, 9, 8, 20, 10, 7, 1, 16, 12, 17, 10, 14, 18, 13, 9, 1, 20, 15, 18, 32, 12, 25, 13, 14, 16, 11, 1, 24, 18, 16, 15, 32, 14, 29, 20, 20, 34, 19, 13, 1, 28
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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See A098457 for the definition of the Farey Bisection Expansion.
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LINKS
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N. J. A. Sloane, Stern-Brocot or Farey Tree
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EXAMPLE
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The FBE of Sqrt[7] is {1,1,0,1,0,1,1,1,1,0,1,0,1,1,1,1,0,1,0,1,1,..
with period 7. Thus a(7)=7.
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CROSSREFS
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Cf. A010121, A097853, A098457.
Adjacent sequences: A098455 A098456 A098457 this_sequence A098459 A098460 A098461
Sequence in context: A016698 A038763 A128007 this_sequence A139621 A123160 A039758
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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), Sep 08 2004
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