A308898 Fixed point of the morphism 0 -> 01, 1 -> 2, 2 -> 3, 3 -> 012.

0, 1, 2, 3, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 0

Offset

0,3

Comments

This is superficially similar to A014587, although the latter sequence is not well understood. - N. J. A. Sloane, Jul 28 2019

Links

Rémy Sigrist, Table of n, a(n) for n = 0..15126

M. Dekking, Base phi representations and golden mean beta-expansions, arXiv:1906.08437 [math.NT], June 2019.

Mathematica

Nest[Flatten[ReplaceAll[#, {0->{0, 1}, 1->2, 2->3, 3->{0, 1, 2}}]]&, {0}, 10] (* Paolo Xausa, Nov 09 2023 *)

Prog

(PARI) M = [[1, 2], [3], [4], [1, 2, 3]]; s = [1]; for (k=1, 100, while (k>#s, s=concat(apply(d -> M[d], s))); print1 (s[k]-1 ", ")); \\ Rémy Sigrist, Jul 25 2019

Crossrefs

Cf. A014587. See A309198 for another version.

Sequence in context: A336201 A271369 A308322 * A106728 A292603 A308880

Adjacent sequences: A308895 A308896 A308897 * A308899 A308900 A308901

Keyword

nonn

Author

N. J. A. Sloane, Jul 24 2019

Status

approved