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Limiting 1-word of the morphism 0 -> 11, 1 -> 01.
5

%I #12 Jul 23 2023 18:24:22

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

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

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

%N Limiting 1-word of the morphism 0 -> 11, 1 -> 01.

%H Clark Kimberling, <a href="/A285384/b285384.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>

%F a(n) = A285383(n) for n >= 2.

%e 0 -> 11-> 0101 -> 11011101 -> 0101110101011101 -> ...

%t s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1}}] &, {0}, 16] (* this sequence *)

%t Flatten[Position[s, 0]] (* A072939 *)

%t Flatten[Position[s, 1]] (* A285385 *)

%Y Cf. A072939, A285383, A285385.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 26 2017

%E NAME corrected by _R. J. Mathar_, Nov 05 2019