login
Fixed point of the morphism 0->11, 1->1110.
3

%I #16 Nov 14 2018 14:04:39

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

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

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

%N Fixed point of the morphism 0->11, 1->1110.

%H Clark Kimberling, <a href="/A285671/b285671.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 -> 11 -> 11101110 -> 1110111011101111101110111011 -> ...

%t s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {1, 1, 1, 0}}] &, {0}, 9] (* A285671 *)

%t Flatten[Position[s, 0]] (* A045672, conjectured *)

%t Flatten[Position[s, 1]] (* A045671, conjectured *)

%Y Cf. A045671, A045672.

%K nonn,easy

%O 1

%A _Clark Kimberling_, May 02 2017

%E Edited by _Clark Kimberling_, Feb 27 2018, Nov 05 2018