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 A214212 Number of special factors of length n in the Thue-Morse sequence A010060. 2
 1, 2, 2, 4, 2, 4, 4, 2, 2, 4, 4, 4, 4, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES S. Brlek, Enumeration of factors in the Thue-Morse word, Discrete Applied Math., 24 (1989), 83-96. doi:10.1016/0166-218X(92)90274-E. See the sequence beta in Eq. (2). A. de Luca and S. Varricchio, Some combinatorial properties of the Thue-Morse sequence and a problem in semigroups, Theoret. Comput. Sci. 63 (1989), 333-348. Michel Rigo, Formal Languages, Automata and Numeration Systems, 2 vols., Wiley, 2014. Mentions this sequence - see "List of Sequences" in Vol. 2. LINKS MAPLE ph:=proc(n) option remember; if n=2 then 2 elif n<=3 then n+1 else if n mod 2 = 0 then ph(n/2) else ph((n+1)/2); fi; fi; end; CROSSREFS Cf. A010060, A005942, A212214. Sequence in context: A152858 A091248 A082991 * A100008 A102763 A054844 Adjacent sequences:  A214209 A214210 A214211 * A214213 A214214 A214215 KEYWORD nonn AUTHOR N. J. A. Sloane, Jul 10 2012 STATUS approved

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Last modified June 17 06:06 EDT 2019. Contains 324183 sequences. (Running on oeis4.)