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A189727

Fixed point of the morphism 0->011, 1->110.

0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1

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OFFSET

LINKS

Table of n, a(n) for n=1..122.

Mazen Khodier, New Methods for Analyzing the Properties of Automatic Sequences, Master's Thesis, Univ. Waterloo (Canada 2026). See p. 27, Table 5.1.

FORMULA

a(3*k-2) = a(k), a(3*k-1) = 1, a(3*k) = 1 - a(k) for k >= 1, a(0) = 0.

EXAMPLE

0->011->011110110->

MATHEMATICA

t = Nest[Flatten[# /. {0->{0, 1, 1}, 1->{1, 1, 0}}] &, {0}, 5] (*A189727*)

f[n_] := t[[n]]