A308188 Fixed point (beginning with a) of the morphism a -> aab, b -> b, over the alphabet {a,b} = {1,2}.

1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1

Offset

1,3

Links

Rémy Sigrist, Table of n, a(n) for n = 1..16383

M. Bucci, A. De Luca, A. Glen and L. Q. Zamboni, A connection between palindromic and factor complexity using return words, arXiv:0802.1332 [math.CO], 2008. See Section 4.

Mathematica

Nest[Flatten[ReplaceAll[#, 1->{1, 1, 2}]]&, {1}, 6] (* Paolo Xausa, Nov 08 2023 *)

Prog

(PARI) w = [1]; while (#w<63, w=concat(apply(t -> [[1, 1, 2], [2]][t], w))); print (w) \\ Rémy Sigrist, Nov 01 2021

Crossrefs

Cf. A079559 (as 1,0), A308187 (as 0,1).

Cf. A308185, A308186.

Sequence in context: A351451 A191322 A264840 * A046219 A088978 A276948

Adjacent sequences: A308185 A308186 A308187 * A308189 A308190 A308191

Keyword

nonn

Author

N. J. A. Sloane, Jun 05 2019

Extensions

More terms from Rémy Sigrist, Nov 01 2021

Status

approved