A285277 - OEIS

%I #6 Feb 22 2024 20:17:57

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

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

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

%N 1-limiting word of the morphism 0->10, 1-> 0111.

%C The morphism 0->10, 1-> 0111 has two limiting words.  If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 011110 -> 10011101110111011110 ->

%C 01111010011101110111100111011101111001110111011110011101110111011110; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 011110 -> 10011101110111011110, as in A285277.

%H Clark Kimberling, <a href="/A285277/b285277.txt">Table of n, a(n) for n = 1..10000</a>

%t s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 1, 1, 1}}] &, {0}, 9]; (* A285277 *)

%t Flatten[Position[s, 0]];  (* A285278 *)

%t Flatten[Position[s, 1]];  (* A285279 *)

%Y Cf. A285275, A285278, A285279.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 25 2017