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A284512
1-limiting word of the morphism 0->1, 1->0001.
4
1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0
OFFSET
1
COMMENTS
The morphism 0->1, 1->0001 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 1 -> 0001 -> 1110001 -> 0001000100011110001; if the number of iterations is odd, the 1-word evolves from 0 -> 1 -> 0001 -> 1110001 ->, as in A284509.
LINKS
MATHEMATICA
s = Nest[Flatten[# /. {0 -> {1}, 1 -> {0, 0, 0, 1}}] &, {0}, 9] (* A284512 *)
Flatten[Position[s, 0]] (* A284513 *)
Flatten[Position[s, 1]] (* A284514 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 05 2017
STATUS
approved