login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Fixed point of the morphism 0 -> 01, 1 -> 1110.
3

%I #10 Dec 17 2024 15:30:15

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

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

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

%N Fixed point of the morphism 0 -> 01, 1 -> 1110.

%H Clark Kimberling, <a href="/A284944/b284944.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-> 011110 -> 01111011101110111001->

%t s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 1, 1, 0}}] &, {0}, 6] (* A284944 *)

%t Flatten[Position[s, 0]] (* A284945 *)

%t Flatten[Position[s, 1]] (* A284946 *)

%t SubstitutionSystem[{0->{0,1},1->{1,1,1,0}},{0},{5}][[1]] (* _Harvey P. Dale_, Dec 17 2024 *)

%Y Cf. A284945, A284946.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 18 2017