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 A287401 #11 Jul 11 2022 13:44:15 %S A287401 0,1,2,2,1,0,1,2,0,1,2,0,2,1,0,0,1,2,2,1,0,1,2,0,0,1,2,2,1,0,1,2,0,0, %T A287401 1,2,1,2,0,2,1,0,0,1,2,0,1,2,2,1,0,1,2,0,1,2,0,2,1,0,0,1,2,2,1,0,1,2, %U A287401 0,0,1,2,0,1,2,2,1,0,1,2,0,1,2,0,2,1 %N A287401 Start with 0 and repeatedly substitute 0->012, 1->210, 2->120. %C A287401 This is the fixed point of the morphism 0->012, 1->210, 2->120 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 A287401 See A287385 for a guide to related sequences. %H A287401 Clark Kimberling, <a href="/A287401/b287401.txt">Table of n, a(n) for n = 1..10000</a> %H A287401 <a href="/index/Fi#FIXEDPOINTS">Index entries for sequences that are fixed points of mappings</a> %F A287401 a(n) = (2*a(m) + (n-1)*(-1)^a(m)) mod 3, where m = 1 + floor((n-1)/3). - _Max Alekseyev_, Jul 11 2022 %e A287401 First three iterations of the morphism: 012, 012210102, 012210102102210012210012102. %t A287401 s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{2, 1, 0}, 2->{1, 2, 0}}] &, {0}, 9]; (*A287401*) %t A287401 Flatten[Position[s, 0]]; (*A189728*) %t A287401 Flatten[Position[s, 1]]; (*A287403*) %t A287401 Flatten[Position[s, 2]]; (*A287404*) %Y A287401 Cf. A189728, A287385, A287403, A287404. %K A287401 nonn,easy %O A287401 1,3 %A A287401 _Clark Kimberling_, May 25 2017