A317203 Fixed under the morphism 1 -> 132, 2 -> 1, 3 -> 3, starting with 31.

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

Offset

1,1

Comments

a(n) = Pi(A108103(n+2)), where Pi is the permutation Pi(1)=3, Pi(2)=2, Pi(3)=1. For a proof, see my link. - Michel Dekking, Dec 28 2019

Links

Michel Dekking, Table of n, a(n) for n = 1..1199

Michel Dekking, A317203-A108103-connection

Jacques Justin, and Giuseppe Pirillo, Episturmian words and episturmian morphisms, Theoretical Computer Science, 276.1-2 (2002): 281-313. See Remark 3.2.

Crossrefs

Sequence in context: A016571 A055189 A106824 * A229215 A123508 A117621

Adjacent sequences: A317200 A317201 A317202 * A317204 A317205 A317206

Keyword

nonn

Author

N. J. A. Sloane, Aug 05 2018

Extensions

Definition amended by Georg Fischer, May 28 2021

Status

approved