A317189 A morphic sequence related to the ternary Thue-Morse sequence.

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

Offset

0,2

Links

Table of n, a(n) for n=0..105.

Michaël Rao, Michel Rigo, Pavel Salimov, Avoiding 2-binomial squares and cubes, arXiv:1310.4743 [cs.FL], 2013.

Michaël Rao, Michel Rigo, Pavel Salimov, Avoiding 2-binomial squares and cubes, Theoretical Computer Science, Volume 572, 23 March 2015, Pages 83-91. See proof of Lemma 1.

Formula

a(n) = A036577(n), n>0, a(0) = 1. - Michel Dekking, Oct 15 2019

Mathematica

Nest[Flatten[# /. {1 -> {2, 0}, 2 -> {1}, 0 -> {2, 1, 0}}] &, {2}, 9 (* must be an odd integer*)] (* Robert G. Wilson v, Jul 30 2018 *)

Crossrefs

Cf. A007413, A036577, A036580, A316826.

Sequence in context: A368199 A091392 A036577 * A220136 A322454 A133693

Adjacent sequences: A317186 A317187 A317188 * A317190 A317191 A317192

Keyword

nonn

Author

N. J. A. Sloane, Jul 30 2018

Extensions

More terms from Robert G. Wilson v, Jul 30 2018

Status

approved