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A285142
1-limiting word of the morphism 0->10, 1->0010.
10
1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0
OFFSET
1
COMMENTS
The morphism 0->10, 1->0010 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 001010 -> 1010001010001010 -> 00101000101010100010100010101010001010001010, as in A285139; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 001010 -> 1010001010001010 (here).
LINKS
MATHEMATICA
s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 1, 0}}] &, {0}, 11]; (* A285142 *)
Flatten[Position[s, 0]]; (* A285143 *)
Flatten[Position[s, 1]]; (* A285144 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 20 2017
EXTENSIONS
Definition and comment corrected by Georg Fischer, May 14 2021
STATUS
approved