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Fixed point of the morphism 0 -> 10, 1 -> 1101.
3

%I #9 May 08 2017 06:31:36

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

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

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

%N Fixed point of the morphism 0 -> 10, 1 -> 1101.

%H Clark Kimberling, <a href="/A285358/b285358.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 Conjecture: a(n) = A284929(n+1). - _R. J. Mathar_, May 08 2017

%e 0 -> 10-> 1101 -> 11011101101101 ->

%t s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {1, 1, 0, 1}}] &, {0}, 10] (* A285358 *)

%t Flatten[Position[s, 0]] (* A285359 *)

%t Flatten[Position[s, 1]] (* A285360 *)

%Y Cf. A284359, A285360.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 25 2017