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A175562
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The periodic part of the decimal expansion of 1/Fibonacci(n) with any initial zeros placed at the end of the cycle.
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1
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0, 0, 0, 3, 0, 0, 769230, 476190, 2941176470588235, 18, 11235955056179775280898876404494382022471910, 4
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OFFSET
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1,4
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COMMENTS
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A curiosity: the six first digits (with the first digit zero) of a(11): {0,1,1,2,3,5} are the six first Fibonacci numbers!
The next number of this sequence contains 232 digits (decimal form of the period of 1/233 = .0042918454935622317596566523605150214...7210300.
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LINKS
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Table of n, a(n) for n=1..12.
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EXAMPLE
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1/Fibonacci(7) = 1/13 = .0769230769230769230... and digit-cycle is 769230, so a(7)= 769230.
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MATHEMATICA
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fc[n_] := Block[{q}, q = Last[First[RealDigits[1/Fibonacci[n]]]]; If[IntegerQ[q], q = {}]; FromDigits[q]]; Table[fc[n], {n, 40}] (* see the Mathematica program in A036275 *).
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CROSSREFS
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Cf. A036275.
Sequence in context: A009133 A180515 A009138 * A111025 A098018 A196306
Adjacent sequences: A175559 A175560 A175561 * A175563 A175564 A175565
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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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EXTENSIONS
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Name and comment corrected by T. D. Noe, Jul 06 2010
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STATUS
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approved
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