A245187 Trajectory of 1 under repeated applications of the morphism 0->12, 1->12, 2->00.

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

Offset

0,2

Comments

This is the 2-block coding of the period-doubling word A096268.

Links

Table of n, a(n) for n=0..119.

A. Parreau, M. Rigo, E. Rowland, E. Vandomme, A new approach to the 2-regularity of the l-abelian complexity of 2-automatic sequences, arXiv:1405.3532 [cs.FL], 2014-2015. See Example 16.

A. Parreau, M. Rigo, E. Rowland, E. Vandomme, A new approach to the 2-regularity of the l-abelian complexity of 2-automatic sequences, The Electronic Journal of Combinatorics, Volume 22, Issue 1 (2015), Paper #P1.27. See Example 16.

Index entries for sequences that are fixed points of mappings

Mathematica

(* This gives the first 128 terms. *)
SubstitutionSystem[{0 -> {1, 2}, 1 -> {1, 2}, 2 -> {0, 0}}, {1}, {{7}}] (* Eric Rowland, Oct 02 2016 *)

Crossrefs

See A091952 for a very similar sequence. Cf. A096268.

Sequence in context: A376081 A049321 A204425 * A292598 A079113 A144874

Adjacent sequences: A245184 A245185 A245186 * A245188 A245189 A245190

Keyword

nonn

Author

N. J. A. Sloane, Jul 21 2014

Extensions

More terms from Eric Rowland, Oct 02 2016

Status

approved