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Fixed point starting with 0 of the morphism 0->01, 1->101.
8

%I #17 Sep 30 2019 03:14:35

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

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

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

%N Fixed point starting with 0 of the morphism 0->01, 1->101.

%C Is this a shifted version of A114986 or A096270? - _R. J. Mathar_, May 16 2011

%C Response: A189479(n)=A114986(n-1) for n>=2; this follows from formulas at A099267 (the positions of 1 in A189479) and the fact that A114986 is the characteristic function of the lower Wythoff sequence with 0 prefixed. - _Clark Kimberling_, May 22 2011

%H <a href="/index/Fi#FIXEDPOINTS">Index entries for sequences that are fixed points of mappings</a>

%e 0->01->01101->0110110101101->

%t t = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0, 1}}] &, {0}, 6] (*A189479*)

%t Flatten[Position[t, 0]] (*A007066*)

%t Flatten[Position[t, 1]] (*A099267*)

%Y Cf. A007066, A099267, A114986.

%K nonn,easy

%O 1

%A _Clark Kimberling_, Apr 22 2011

%E Name clarified by _Michel Dekking_, Sep 30 2019