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%I #16 Sep 15 2019 10:48:46
%S 0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,
%T 0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,
%U 1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0
%N Fixed point starting with 0 of the morphism 0->001, 1->100.
%F a(3k-2)=a(k), a(3k-1)=0, a(3k)=1-a(k) for k>=1, a(1)=0. [Corrected by _Michel Dekking_, Sep 15 2019]
%e 0->001->001001100->...
%t t = Nest[Flatten[# /. {0->{0,0,1}, 1->{1,0,0}}] &, {0}, 5] (* A189632 *)
%t f[n_] := t[[n]]
%t Flatten[Position[t, 0]] (* A189633 *)
%t Flatten[Position[t, 1]] (* A189634 *)
%t s[n_] := Sum[f[i], {i, 1, n}]; s[0] = 0;
%t Table[s[n], {n, 1, 120}] (* A189635 *)
%Y Cf. A189628, A189633, A189634, A189635.
%K nonn
%O 1
%A _Clark Kimberling_, Apr 24 2011
%E Name clarified by _Michel Dekking_, Sep 15 2019
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