cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A175562 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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%I A175562 #25 Oct 04 2017 02:10:49
%S A175562 0,0,0,3,0,0,769230,476190,2941176470588235,18,
%T A175562 11235955056179775280898876404494382022471910,4
%N A175562 The periodic part of the decimal expansion of 1/Fibonacci(n) with any initial zeros placed at the end of the cycle.
%C A175562 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!
%C A175562 The next term of this sequence contains 232 digits (decimal form of the periodic part of 1/233 = 0.0042918454935622317596566523605150214...7210300).
%H A175562 Vincenzo Librandi, <a href="/A175562/b175562.txt">Table of n, a(n) for n = 1..22</a>
%e A175562 1/Fibonacci(7) = 1/13 = 0.0769230769230769230... and digit-cycle is 769230, so a(7)= 769230.
%t A175562 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 *)
%Y A175562 Cf. A036275.
%K A175562 nonn,base
%O A175562 1,4
%A A175562 _Michel Lagneau_, Jul 02 2010
%E A175562 Name and comment corrected by _T. D. Noe_, Jul 06 2010