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 A175561 Period length of the decimal representation of 1/Fibonacci(n). 1
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,5 COMMENTS 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. LINKS FORMULA a(n) = A007732(A000045(n)). EXAMPLE 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 CROSSREFS Cf. A175550, A000045, A175562. Sequence in context: A290931 A257372 A058563 * A341202 A315810 A315811 Adjacent sequences:  A175558 A175559 A175560 * A175562 A175563 A175564 KEYWORD nonn,base AUTHOR Michel Lagneau, Jul 02 2010 STATUS approved

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Last modified January 22 05:19 EST 2022. Contains 350481 sequences. (Running on oeis4.)