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%I #6 Mar 30 2012 18:57:25
%S 0,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,
%T 1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,
%U 0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1
%N Fixed point of the morphism 0->011, 1->110.
%F a(3k-2)=a(k), a(3k-1)=1, a(3k)=1-a(k) for k>=1, a(0)=0.
%e 0->011->011110110->
%t t = Nest[Flatten[# /. {0->{0,1,1}, 1->{1,1,0}}] &, {0}, 5] (*A189727*)
%t f[n_] := t[[n]]
%t Flatten[Position[t, 0]] (*A189728*)
%t Flatten[Position[t, 1]] (*A189729*)
%t s[n_] := Sum[f[i], {i, 1, n}]; s[0] = 0;
%t Table[s[n], {n, 1, 120}] (*A189730*)
%Y Cf. A189628, A189728, A189729, A189730.
%K nonn
%O 1
%A _Clark Kimberling_, Apr 26 2011
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