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A225186 Squares in the Thue-Morse word A001285. 3
11, 22, 1212, 2121, 121121, 212212, 12211221, 21122112, 122112122112, 211221211221, 1221211212212112, 2112122121121221, 122121121221122121121221, 211212212112211212212112, 12212112211212211221211221121221, 21121221122121122112122112212112 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
A square in an infinite word w is a factor of the form uu, where u has finite length.
Consists of 11, 22, 121121, 212212 and their repeated images under the morphism 1 -> 12, 2 -> 21.
Replacing {1,2} by {0,1} gives the squares in A010060.
LINKS
James D. Currie and Narad Rampersad, Infinite words containing squares at every position, arXiv:0803.1189 [math.CO], 2008; or also, RAIRO-Theor. Inf. Appl. 44, 113-124 (2010).
CROSSREFS
Cf. A001285, A020060, A225188 (square roots).
Sequence in context: A077431 A118133 A345404 * A155973 A351849 A253684
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, May 04 2013
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)