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Fixed point of the morphism 0->11, 1->1101.
3

%I #5 May 02 2017 20:48:46

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

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

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

%N Fixed point of the morphism 0->11, 1->1101.

%H Clark Kimberling, <a href="/A285668/b285668.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 -> 11 -> 1101 -> 11011101 -> 1101110111110111011101111101... ->

%t s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {1, 1, 0, 1}}] &, {0}, 9] (* A285668 *)

%t Flatten[Position[s, 0]] (* A285669 *)

%t Flatten[Position[s, 1]] (* A285670 *)

%Y Cf. A285669, A285670.

%K nonn,easy

%O 1

%A _Clark Kimberling_, May 02 2017