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A191250
Fixed point of the morphism 0 -> 01, 1 -> 02, 2 -> 001.
20
0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0
OFFSET
1,4
COMMENTS
A few 3-substitution sequences:
A191250: 0 -> 01, 1 -> 02, 2 -> 001
A191254: 0 -> 01, 1 -> 02, 2 -> 01
A191255: 0 -> 01, 1 -> 02, 2 -> 03, 3 -> 01
A191258: 0 -> 01, 1 -> 02, 2 -> 03, 3 -> 001
A191261: 0 -> 01, 1 -> 002, 2 -> 01
A191265: 0 -> 001, 1 -> 002, 2 -> 01
A191269: 0 -> 001, 1 -> 02, 2 -> 01
See also A189576 and A189628.
MATHEMATICA
t = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0, 2}, 2 -> {0, 0, 1}}] &, {0}, 8] (* A191250 *)
Flatten[Position[t, 0]] (* A191251 *)
Flatten[Position[t, 1]] (* A191252 *)
Flatten[Position[t, 2]] (* A191253 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, May 28 2011
STATUS
approved