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A284471
1-limiting word of the morphism 0->1, 1->0100.
4
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, 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
OFFSET
1
COMMENTS
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.
LINKS
MATHEMATICA
s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 1, 0, 0}}] &, {0}, 17]; (* A284471 *)
Flatten[Position[s, 0]]; (* A284472 *)
Flatten[Position[s, 1]]; (* A284473*)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 02 2017
STATUS
approved