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A284524
0-limiting word of the morphism 0->1, 1->0010.
6
0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0
OFFSET
1
COMMENTS
The morphism 0->1, 1-> 0010 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 1 -> 0010 -> 1100101 -> 0010001011001010010; if the number of iterations is odd, the 1-word evolves from 0 -> 1 -> 0010 -> 1100101 ->, as in A284527.
LINKS
MATHEMATICA
s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 0, 1, 0}}] &, {0}, 8] (* A284524 *)
Flatten[Position[s, 0]] (* A284525 *)
Flatten[Position[s, 1]] (* A284526 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 05 2017
STATUS
approved