A308186 - OEIS

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A308186

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

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

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OFFSET

1,2

COMMENTS

It seems likely that this is essentially the same sequence as A288932 without its leading 0, but the two definitions are so different that it is worth having both versions.

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

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

A. Glen, J. Justin, S. Widmer, L. Q. Zamboni, Palindromic richness, arXiv:0801.1656 [math.CO], 2008.

MAPLE

f:= 'f':

f(1):= (1, 2, 1, 2):

f(2):= 2:

A:= [1]:

for i from 1 to 9 do A:= map(f, A) od:

A; # Robert Israel, Jun 05 2019

MATHEMATICA