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A285565
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0-limiting word of the morphism 0->11, 1-> 0110.
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6
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0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0
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OFFSET
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1
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COMMENTS
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The morphism 0->11, 1-> 0110 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 11 -> 01100110; if the number of iterations is odd, the 1-word evolves from 0 -> 11 -> 01100110 -> 110110011011110110011011, as in A285568. See A285567 for a connection to the golden ratio.
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LINKS
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MATHEMATICA
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s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 1, 1, 0}}] &, {0}, 8] (* A285565 *)
Flatten[Position[s, 0]] (* A285566 *)
Flatten[Position[s, 1]] (* A285567 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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