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.

A333357 Integers that cannot be expressed as the ratio of 2 Fibonacci numbers.

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%I A333357 #49 Aug 15 2020 00:32:32
%S A333357 6,9,10,12,14,15,16,19,20,22,23,24,25,26,27,28,30,31,32,33,35,36,37,
%T A333357 38,39,40,41,42,43,44,45,46,49,50,51,52,53,54,56,57,58,59,60,61,62,63,
%U A333357 64,65,66,67,68,69,70,71,73,74,75,77,78,79,80
%N A333357 Integers that cannot be expressed as the ratio of 2 Fibonacci numbers.
%C A333357 Any product of m > 1 Fibonacci numbers > 1 belongs to the sequence except for 4, 18, 48, and 72.
%H A333357 M. Farrokhi D. G., <a href="/A333357/b333357.txt">Table of n, a(n) for n = 1..10000</a>
%H A333357 M. Farrokhi D. G., <a href="https://cs.uwaterloo.ca/journals/JIS/VOL10/Farrokhi/farrokhi20.html">Some remarks on the equation F_n=kF_m in Fibonacci numbers</a>, J. Integer Seq. 10 (2007), no. 5, Article 07.5.7, 9 pp.
%o A333357 (GAP) l := Filtered(Set(List(Cartesian([1..21], [1..21]), x -> Fibonacci(x[1] * x[2])/Fibonacci(x[1]))), x -> x < 10000);;
%o A333357 Filtered([1..10000], x ->  not x in l);
%Y A333357 Cf. A000045.
%Y A333357 Complement of A031121.
%K A333357 nonn,easy
%O A333357 1,1
%A A333357 _M. Farrokhi D. G._, Jul 24 2020