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Fixed point of the morphism 0->01, 1->100.
5

%I #10 Mar 05 2022 16:18:30

%S 0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,

%T 0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,

%U 0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1

%N Fixed point of the morphism 0->01, 1->100.

%H <a href="/index/Fi#FIXEDPOINTS">Index entries for sequences that are fixed points of mappings</a>

%e 0->01->01100->011001000101->

%t t = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0, 0}}] &, {0}, 6] (*A189476*)

%t Flatten[Position[t, 0]] (*A189477*)

%t Flatten[Position[t, 1]] (*A189478*)

%t SubstitutionSystem[{0->{0,1},1->{1,0,0}},{0},{7}][[1]] (* _Harvey P. Dale_, Mar 05 2022 *)

%Y Cf. A189477, A189478.

%K nonn

%O 1

%A _Clark Kimberling_, Apr 22 2011