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.

A088166 Smallest integer divisible by Fibonacci(2n) such that the second partial quotient in the continued fraction expansion of a(n)/phi is 2 (phi is the golden ratio), n >= 2.

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%I A088166 #12 Jun 22 2019 23:13:15
%S A088166 12,72,504,3410,23184,159094,1089648,7465176,51170460,350713222,
%T A088166 2403763488,16475700746,112925875764,774004377960,5305106018016,
%U A088166 36361732975514,249227005939632,1708227330997438,11708364225400920
%N A088166 Smallest integer divisible by Fibonacci(2n) such that the second partial quotient in the continued fraction expansion of a(n)/phi is 2 (phi is the golden ratio), n >= 2.
%C A088166 Smallest integer divisible by Fibonacci(2n) such that the continued fraction expansion of a(n)/phi has period 2 or 4.
%F A088166 a(n) = Fibonacci(2n)*ceiling(Lucas(2n)/2).
%F A088166 Fibonacci(2n)*(A071618(n)+1). - _Thomas Baruchel_, Nov 26 2003
%F A088166 Empirical g.f.: -2*x^2*(x^7 - 7*x^6 - 17*x^4 + 131*x^3 - 6*x^2 + 6*x - 6) / ((x^2 - 7*x + 1)*(x^2 - 3*x + 1)*(x^4 + 3*x^3 + 8*x^2 + 3*x + 1)). - _Colin Barker_, Jan 11 2014
%Y A088166 Cf. A087954.
%K A088166 easy,nonn
%O A088166 2,1
%A A088166 _Thomas Baruchel_, Sep 21 2003