|
%I #13 Oct 05 2020 10:55:09
%S 0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,
%T 0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,
%U 1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1
%N Fixed point of the morphism 0 -> 01, 1 -> 0110.
%C This is a 3-automatic sequence. See Allouche et al. link. - _Michel Dekking_, Oct 05 2020
%H Clark Kimberling, <a href="/A284878/b284878.txt">Table of n, a(n) for n = 1..10000</a>
%H J.-P. Allouche, F. M. Dekking, and M. Queffélec, <a href="https://arxiv.org/abs/2010.00920">Hidden automatic sequences</a>, arXiv:2010.00920 [math.NT], 2020.
%H <a href="/index/Fi#FIXEDPOINTS">Index entries for sequences that are fixed points of mappings</a>
%e 0 -> 01-> 010110 -> 010110010110011001 ->
%t s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0, 1, 1, 0}}] &, {0}, 7] (* A284878 *)
%t Flatten[Position[s, 0]] (* A284879 *)
%t Flatten[Position[s, 1]] (* A284880 *)
%Y Cf. A284879, A284880.
%K nonn,easy
%O 1
%A _Clark Kimberling_, Apr 15 2017
|
