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.
%I A288582 #18 Feb 26 2019 08:22:11
%S A288582 1,0,1,10,1001,1001010,100101001001,10010100100101001010,
%T A288582 100101001001010010100100101001001,
%U A288582 100101001001010010100100101001001010010100100101001010,1001010010010100101001001010010010100101001001010010100100101001001010010100100101001001
%N A288582 A288581(n) written in base 2.
%C A288582 Define the sequence of finite Fibonacci words f_i by f_0=1, f_1=0, and thereafter f_n is the concatenation f_{n-1} f_{n-2}. The limit of f_i as i -> oo is the infinite Fibonacci word A003849.
%C A288582 Then f_0 = a(0), f_1 = a(1), and for n>1, f_n is the concatenation 0 a(n).
%H A288582 G. M. Barabash, Y. M. Kholyavka, I. V. Tytar, <a href="http://dx.doi.org/10.15330/cmp.8.1.11-15">Periodic words connected with the Fibonacci words</a>, Carpathian Math. Publ. 2016, 8 (1), 11-15; doi:10.15330/cmp.8.1.11-15.
%Y A288582 Cf. A003849, A288581.
%K A288582 nonn
%O A288582 0,4
%A A288582 _N. J. A. Sloane_, Jul 04 2017
%E A288582 More terms from _Rémy Sigrist_, Feb 26 2019