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

Author

N. J. A. Sloane, Aug 05 2018

Keywords

• nonn

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.

Extensions

Definition amended by Georg Fischer, May 28 2021