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A285159
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0-limiting word of the morphism 0->10, 1-> 0011.
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6
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0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1
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OFFSET
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1
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COMMENTS
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The morphism 0->10, 1-> 0011 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 001110 -> 101000110011001110 -> 001110001110101000110011101000110011101000110011001110; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 001110 -> 101000110011001110, as in A285162.
This is a 3-automatic sequence. See Allouche et al. link. - Michel Dekking, Oct 05 2020
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LINKS
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MATHEMATICA
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s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 1, 1}}] &, {0}, 10]; (* A285159 *)
Flatten[Position[s, 0]]; (* A285160 *)
Flatten[Position[s, 1]]; (* A285161 *)
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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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