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A309198
Fixed point of the morphism 1 -> 12, 2 -> 3, 3 -> 4, 4 -> 123.
2
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
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
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jul 24 2019
STATUS
approved