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A268242
Number of privileged factors of length n in Thue-Morse sequence A010060.
1
1, 2, 2, 2, 2, 0, 4, 0, 8, 0, 8, 0, 4, 0, 0, 0, 0, 0, 2, 0, 2, 0, 4, 0, 8, 0, 8, 0, 4, 0, 6, 0, 14, 0, 14, 0, 6, 0, 4, 0, 8, 0, 8, 0, 4, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0
OFFSET
0,2
COMMENTS
It appears that all terms except a(0) are even.
LINKS
Jarkko Peltomäki, Privileged factors in the Thue-Morse word — a comparison of privileged words and palindromes, arXiv:1306.6768 [math.CO], 2013-2015 [Disc. Appl. Math., 193:187-199, 2015].
Jarkko Peltomäki, Privileged Words and Sturmian Words, Turku Centre for Computer Science, TUCS Dissertations No 214, August 2016.
Luke Schaeffer, Jeffrey Shallit, Closed, Palindromic, Rich, Privileged, Trapezoidal, and Balanced Words in Automatic Sequences, Electronic Journal of Combinatorics 23(1) (2016), #P1.25. Gives explicit formula for a(n).
CROSSREFS
Cf. A010060.
Sequence in context: A362485 A268243 A159782 * A362932 A309509 A216953
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Feb 06 2016
EXTENSIONS
More terms from Lars Blomberg, Feb 10 2016
STATUS
approved