A309198 Fixed point of the morphism 1 -> 12, 2 -> 3, 3 -> 4, 4 -> 123.

1, 2, 3, 4, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 1, 2, 3, 4, 1, 2

Offset

0,2

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[#, {1->{1, 2}, 2->3, 3->4, 4->{1, 2, 3}}]]&, {1}, 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] ", ")) \\ Rémy Sigrist, Jul 25 2019

Crossrefs

See A308898 for another version.

Sequence in context: A214063 A078978 A322424 * A256914 A171171 A159957

Adjacent sequences: A309195 A309196 A309197 * A309199 A309200 A309201

Keyword

nonn

Author

N. J. A. Sloane, Jul 24 2019

Status

approved