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
(PARI) \\ See links in A079559.

Crossrefs

Cf. A079559 (as 1,0), A308187 (as 0,1), A279340 (as 3,1).

Cf. A308185, A308186.

Sequence in context: A191322 A264840 A382816 * A046219 A088978 A393709

Adjacent sequences: A308185 A308186 A308187 * A308189 A308190 A308191

Keyword

nonn,easy

Author

N. J. A. Sloane, Jun 05 2019

Extensions

More terms from Rémy Sigrist, Nov 01 2021

Status

approved