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A175561 Period of the decimal representation of 1/Fibonacci(n). 1

%I #9 Nov 16 2023 20:38:18

%S 1,1,1,1,6,6,16,2,44,1,232,84,60,138,133,144,336,10,420,396,1580,66,

%T 1500,733,908,84,803,60,1546,1060,675,1511,1228,1172,325,363,566,30,

%U 1935,420,1237,1402,834,118,76,1547,1148,1500,985,956,509,489,614,907

%N Period of the decimal representation of 1/Fibonacci(n).

%C With regard to A175550, where the period of 1/Fibonacci(n) is concerned with the Fibonacci numbers such that gcd(Fibonacci(n), 10) = 1 only, this sequence is complete.

%F a(n) = A007732(A000045(n)).

%e a(8) = 6 because Fibonacci(8) = 21, and 1/21 = 0. 047619 047619 047619 047619 ... => period = 6;

%e a(9) = 16 because Fibonacci(9) = 34, and 1/34 = 0.0 2941176470588235 2941176470588235 2941176470588235 ... => period = 16.

%Y Cf. A175550, A000045, A175562.

%K nonn,base

%O 3,5

%A _Michel Lagneau_, Jul 02 2010

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Last modified April 20 00:03 EDT 2024. Contains 371798 sequences. (Running on oeis4.)