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A285128
1-limiting word of the morphism 0->10, 1-> 0000.
4
1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0
OFFSET
1
COMMENTS
The morphism 0->10, 1->0000 has two limiting words. If the number of iterations is even, the 0-word evolves from 0 -> 10 -> 000010 -> 10101010000010 -> 00001000001000001000001010101010000010; if the number of iterations is odd, the 1-word evolves from 0 -> 10 -> 000010 -> 10101010000010, as in A285128.
LINKS
MATHEMATICA
s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 0, 0}}] &, {0}, 13]; (* A285128 *)
Flatten[Position[s, 0]]; (* A285129 *)
Flatten[Position[s, 1]]; (* A285130 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 19 2017
STATUS
approved