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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

Table of n, a(n) for n=0..120.

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 November 20 06:06 EST 2018. Contains 317385 sequences. (Running on oeis4.)