A036579 -id:A036579 - cp's OEIS frontend

A036582 Ternary Thue-Morse sequence: closed under a->abc, b->ac, c->b.

2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 1, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 1, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 3, 2, 3, 1

Offset: 0

N. J. A. Sloane

nonn

Is this A005680 shifted one place left? [From R. J. Mathar, Oct 20 2008]

Agrees with A005680 shifted one place left for at least n <= 1000000. - Sean A. Irvine, Nov 08 2020

M. Lothaire, Combinatorics on Words. Addison-Wesley, Reading, MA, 1983, p. 26.

Equals A036579(n)+1.

A036578 Ternary Thue-Morse sequence: closed under a->abc, b->ac, c->b.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

nonn

Trajectory of 1 under the morphism 0 -> 12, 1 -> 102 & 2 -> 0. - Robert G. Wilson v, Apr 06 2008

Brian Hayes, Group Theory in the Bedroom and other Mathematical Diversions, Hill and Wang, A division of Farrar, Straus and Giroux, NY, 2008, pages 190-194.
M. Lothaire, Combinatorics on Words. Addison-Wesley, Reading, MA, 1983, p. 26.

Aviezri S. Fraenkel, The vile, dopey, evil and odious game players, Discrete Math. 312 (1) (2012) 42-46.
Index entries for sequences that are fixed points of mappings

Cf. A005679, A036577, A036579, A036580, A036581, A036582, A036583, A036584, A036585, A036586.

Nest[ # /. {0 -> {1, 2}, 1 -> {1, 0, 2}, 2 -> {0}} &, {0}, 7] // Flatten (* Robert G. Wilson v, Apr 06 2008 *)

cp's OEIS Frontend

A036582 Ternary Thue-Morse sequence: closed under a->abc, b->ac, c->b.

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