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A175561
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Period length of the decimal representation of 1/Fibonacci(n).
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1
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1, 1, 1, 1, 6, 6, 16, 2, 44, 1, 232, 84, 60, 138, 133, 144, 336, 10, 420, 396, 1580, 66, 1500, 733, 908, 84, 803, 60, 1546, 1060, 675, 1511, 1228, 1172, 325, 363, 566, 30, 1935, 420, 1237, 1402, 834, 118, 76, 1547, 1148, 1500, 985, 956, 509, 489, 614, 907
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OFFSET
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3,5
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COMMENTS
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With regard to the sequence A175550, where the period of 1/Fibonacci(n)) is concerned by the Fibonacci numbers such that gcd(Fibonacci (n),10) =1 only, this sequence is complete.
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LINKS
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Table of n, a(n) for n=3..56.
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FORMULA
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a(n) = A007732(A000045(n)).
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EXAMPLE
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a(8) = 6 because Fibonacci(8) = 21, and 1/21 = .047619 047619 047619 047619 ... => period = 6;
a(9) = 16 because Fibonacci(9) = 34, and 1/34 = .02941176470588235 2941176470588235 2941176470588235 ... => period = 16
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CROSSREFS
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Cf. A175550, A000045, A175562.
Sequence in context: A107620 A168414 A058563 * A168460 A038518 A151724
Adjacent sequences: A175558 A175559 A175560 * A175562 A175563 A175564
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KEYWORD
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nonn,base
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AUTHOR
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Michel Lagneau, Jul 02 2010
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STATUS
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approved
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