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 A287524 #9 Jun 01 2017 21:09:47 %S A287524 0,1,2,1,0,2,2,0,1,1,0,2,0,1,2,2,0,1,2,0,1,0,1,2,1,0,2,1,0,2,0,1,2,2, %T A287524 0,1,0,1,2,1,0,2,2,0,1,2,0,1,0,1,2,1,0,2,2,0,1,0,1,2,1,0,2,0,1,2,1,0, %U A287524 2,2,0,1,1,0,2,0,1,2,2,0,1,1,0,2,0,1 %N A287524 Start with 0 and repeatedly substitute 0->012, 1->102, 2->201. %C A287524 This is the fixed point of the morphism 0->012, 1->102, 2->201 starting with 0. Let u be the (nonperiodic) sequence of positions of 0, and likewise, v for 1 and w for 2; then u(n)/n -> 3, v(n)/n -> 3, w(n)/n -> 3. %C A287524 See A287385 for a guide to related sequences. %H A287524 Clark Kimberling, <a href="/A287524/b287524.txt">Table of n, a(n) for n = 1..10000</a> %H A287524 <a href="/index/Fi#FIXEDPOINTS">Index entries for sequences that are fixed points of mappings</a> %e A287524 First three iterations of the morphism: 012, 012102201, 012102201102012201201012102. %t A287524 s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{1, 0, 2}, 2->{2, 0, 1}}] &, {0}, 9]; (*A287524*) %t A287524 Flatten[Position[s, 0]]; (*A189724*) %t A287524 Flatten[Position[s, 1]]; (*A287526*) %t A287524 Flatten[Position[s, 2]]; (*A189634*) %Y A287524 Cf. A189724, A287385, A287526, A189634. %K A287524 nonn,easy %O A287524 1,3 %A A287524 _Clark Kimberling_, May 30 2017