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 A287397 #8 Jun 01 2017 10:15:10 %S A287397 0,1,2,2,1,0,1,0,2,1,0,2,2,1,0,0,1,2,2,1,0,0,1,2,1,0,2,2,1,0,0,1,2,1, %T A287397 0,2,1,0,2,2,1,0,0,1,2,0,1,2,2,1,0,1,0,2,1,0,2,2,1,0,0,1,2,0,1,2,2,1, %U A287397 0,1,0,2,2,1,0,0,1,2,1,0,2,1,0,2,2,1 %N A287397 Start with 0 and repeatedly substitute 0->012, 1->210, 2->102. %C A287397 This is the fixed point of the morphism 0->012, 1->210, 2->102 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 A287397 See A287385 for a guide to related sequences. %H A287397 Clark Kimberling, <a href="/A287397/b287397.txt">Table of n, a(n) for n = 1..10000</a> %H A287397 <a href="/index/Fi#FIXEDPOINTS">Index entries for sequences that are fixed points of mappings</a> %e A287397 First three iterations of the morphism: 012, 012210021, 012210021021210012012021210. %t A287397 s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{2, 1, 0}, 2->{1, 0, 2}}] &, {0}, 9]; (*A287397*) %t A287397 Flatten[Position[s, 0]]; (*A287398*) %t A287397 Flatten[Position[s, 1]]; (*A287399*) %t A287397 Flatten[Position[s, 2]]; (*A287400*) %Y A287397 Cf. A287385. A287398, A287399, A287400. %K A287397 nonn,easy %O A287397 1,3 %A A287397 _Clark Kimberling_, May 25 2017