A284745 - OEIS

%I #8 Apr 27 2017 11:38:07

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

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

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

%N Fixed point of the morphism 0 -> 01, 1 -> 000.

%H Clark Kimberling, <a href="/A284745/b284745.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-> 01000 -> 01000010101-> 01000010101010000100001000 ->

%t s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0, 0, 0}}] &, {0}, 7] (* A284745 *)

%t Flatten[Position[s, 0]]  (* A284746 *)

%t Flatten[Position[s, 1]]  (* A191263  *)

%Y Cf. A191263, A284746.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 13 2017