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Fixed point of the morphism 0 -> 01, 1 -> 1011.
4

%I #16 Nov 08 2023 18:08:15

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

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

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

%N Fixed point of the morphism 0 -> 01, 1 -> 1011.

%H Clark Kimberling, <a href="/A284929/b284929.txt">Table of n, a(n) for n = 1..10000</a>

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

%e 0 -> 01 -> 011011 -> 01101110110110111011 -> ...

%t s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0, 1, 1}}] &, {0}, 6] (* A284929 *)

%t Flatten[Position[s, 0]] (* A284930 *)

%t Flatten[Position[s, 1]] (* A284931 *)

%Y Cf. A284930, A284931.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 17 2017