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A284588
1-limiting word of the morphism 0->1, 1->0101.
4
1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1
OFFSET
1
COMMENTS
The morphism 0->1, 1-> 0101 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 1 -> 0101 -> 1010110101 -> 0101101011010101011010110101; if the number of iterations is odd, the 1-word evolves from 0 -> 1 -> 0101 -> 1010110101, as in A284588.
LINKS
MATHEMATICA
s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 1, 0, 1}}] &, {0}, 7] (* A284588 *)
Flatten[Position[s, 0]] (* A284589 *)
Flatten[Position[s, 1]] (* A284590 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 07 2017
STATUS
approved