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 A175562 The periodic part of the decimal expansion of 1/Fibonacci(n) with any initial zeros placed at the end of the cycle. 2
 0, 0, 0, 3, 0, 0, 769230, 476190, 2941176470588235, 18, 11235955056179775280898876404494382022471910, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS A curiosity: the first six digits (with the first digit zero) of a(11): {0,1,1,2,3,5} are the first six Fibonacci numbers! The next term of this sequence contains 232 digits (decimal form of the periodic part of 1/233 = 0.0042918454935622317596566523605150214...7210300). LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..22 EXAMPLE 1/Fibonacci(7) = 1/13 = 0.0769230769230769230... and digit-cycle is 769230, so a(7)= 769230. MATHEMATICA 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 *) CROSSREFS Cf. A036275. Sequence in context: A009133 A180515 A009138 * A319330 A291204 A331414 Adjacent sequences:  A175559 A175560 A175561 * A175563 A175564 A175565 KEYWORD nonn,base AUTHOR Michel Lagneau, Jul 02 2010 EXTENSIONS Name and comment corrected by T. D. Noe, Jul 06 2010 STATUS approved

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Last modified January 19 11:16 EST 2022. Contains 350465 sequences. (Running on oeis4.)