A283319 Image of 0 under repeated applications of the morphism 0 -> 0,0,1,2, 1 -> 1,1,2, 2 -> 0,2,2.

0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0

Offset

1,4

References

Bernardino, André, Rui Pacheco, and Manuel Silva. "Coloring factors of substitutive infinite words." Discrete Mathematics 340.3 (2017): 443-451. See Example 4.

Links

Table of n, a(n) for n=1..101.

A. Bernardino, M. Silva, R. Pacheco, Coloring factors of substitutive infinite words, arXiv:1605.09343 [math.CO], 2016. See Example 4.

Maple

with(ListTools);
psi:=proc(S)
Flatten(subs( {0=[0, 0, 1, 2], 1=[1, 1, 2], 2=[0, 2, 2]}, S));
end;
S:=[0];
for n from 1 to 6 do S:=psi(S): od:
S;

Mathematica

SubstitutionSystem[{0 -> {0, 0, 1, 2}, 1 -> {1, 1, 2}, 2 -> {0, 2, 2}}, {0}, 4] // Last (* Jean-François Alcover, Jan 21 2018 *)

Crossrefs

Cf. A283316, A283317, A283318.

Sequence in context: A237123 A024942 A210255 * A049321 A204425 A245187

Adjacent sequences: A283316 A283317 A283318 * A283320 A283321 A283322

Keyword

nonn

Author

N. J. A. Sloane, Mar 09 2017

Status

approved