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.

A287411 Start with 0 and repeatedly substitute 0->012, 1->120, 2->021.

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%I A287411 #8 Jun 01 2017 10:15:33
%S A287411 0,1,2,1,2,0,0,2,1,1,2,0,0,2,1,0,1,2,0,1,2,0,2,1,1,2,0,1,2,0,0,2,1,0,
%T A287411 1,2,0,1,2,0,2,1,1,2,0,0,1,2,1,2,0,0,2,1,0,1,2,1,2,0,0,2,1,0,1,2,0,2,
%U A287411 1,1,2,0,1,2,0,0,2,1,0,1,2,1,2,0,0,2
%N A287411 Start with 0 and repeatedly substitute 0->012, 1->120, 2->021.
%C A287411 This is the fixed point of the morphism 0->012, 1->120, 2->021 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 A287411 See A287385 for a guide to related sequences.
%H A287411 Clark Kimberling, <a href="/A287411/b287411.txt">Table of n, a(n) for n = 1..10000</a>
%H A287411 <a href="/index/Fi#FIXEDPOINTS">Index entries for sequences that are fixed points of mappings</a>
%e A287411 First three iterations of the morphism:  012, 012120021, 012120021120021012012021120.
%t A287411 s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{1, 2, 0}, 2->{0, 2, 1}}] &, {0}, 9]; (*A287411*)
%t A287411 Flatten[Position[s, 0]]; (*A287412*)
%t A287411 Flatten[Position[s, 1]]; (*A287413*)
%t A287411 Flatten[Position[s, 2]]; (*A287414*)
%Y A287411 Cf. A287385, A287412, A287413, A287414.
%K A287411 nonn,easy
%O A287411 1,3
%A A287411 _Clark Kimberling_, May 25 2017