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A284468
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0-limiting word of the morphism 0->1, 1->0100.
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4
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0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0
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OFFSET
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1
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COMMENTS
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The morphism 0->1, 1->0100 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 1 -> 0100 -> 1010011 -> 0100101001101000100; if the number of iterations is odd, the 1-word evolves from 0 -> 1 -> 0100 -> 1010011 -> 0100101001101000100, 1010011010010100110100010010100111010011, as in A284471.
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LINKS
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MATHEMATICA
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s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 1, 0, 0}}] &, {0}, 16]; (* A284468 *)
Flatten[Position[s, 0]]; (* A284469 *)
Flatten[Position[s, 1]]; (* A284470*)
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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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