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Fixed point of the morphism 0 -> 01, 1 -> 1110.
3

%I #8 Apr 27 2017 22:50:02

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

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

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

%N Fixed point of the morphism 0 -> 01, 1 -> 1110.

%H Clark Kimberling, <a href="/A284944/b284944.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-> 011110 -> 01111011101110111001->

%t s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 1, 1, 0}}] &, {0}, 6] (* A284944 *)

%t Flatten[Position[s, 0]] (* A284945 *)

%t Flatten[Position[s, 1]] (* A284946 *)

%Y Cf. A284945, A284946.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 18 2017