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A189727
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Fixed point of the morphism 0->011, 1->110.
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5
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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, 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, 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
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OFFSET
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1
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LINKS
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FORMULA
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a(3k-2)=a(k), a(3k-1)=1, a(3k)=1-a(k) for k>=1, a(0)=0.
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EXAMPLE
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0->011->011110110->
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MATHEMATICA
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t = Nest[Flatten[# /. {0->{0, 1, 1}, 1->{1, 1, 0}}] &, {0}, 5] (*A189727*)
f[n_] := t[[n]]
Flatten[Position[t, 0]] (*A189728*)
Flatten[Position[t, 1]] (*A189729*)
s[n_] := Sum[f[i], {i, 1, n}]; s[0] = 0;
Table[s[n], {n, 1, 120}] (*A189730*)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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