A284683 - OEIS

%I #10 Apr 27 2017 11:37:41

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

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

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

%N Fixed point of the morphism 0 -> 01, 1 -> 0000

%H Clark Kimberling, <a href="/A284683/b284683.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-> 010000 -> 01000001010101 -> 01000001010101010000010000010000100000 ->

%t s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0, 0, 0, 0}}] &, {0}, 6] (* A284749 *)

%t Flatten[Position[s, 0]]  (* A081692 conjectured *)

%t Flatten[Position[s, 1]]  (* A081693 conjectured *)

%Y Cf. A081692, A081693.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 13 2017