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A309894 Number of unbordered factors of length n in the Thue-Morse sequence A010060. 1
1, 2, 2, 4, 2, 4, 6, 0, 4, 4, 4, 4, 12, 0, 4, 4, 8, 4, 8, 0, 8, 4, 4, 8, 24, 0, 4, 4, 8, 4, 8, 4, 16, 4, 4, 4, 16, 0, 4, 8, 16, 4, 12, 0, 8, 8, 8, 16, 48, 0, 4, 4, 8, 4, 8, 4, 16, 4, 8, 4, 16, 4, 8, 12, 32, 4, 8, 0, 8, 4, 4, 12, 32, 0, 8, 4, 8, 8, 12, 8, 32 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
a(n) <= n for n >= 4 with a(n) = n infinitely often.
This sequence is 2-regular.
LINKS
D. Goč, H. Mousavi and J. Shallit, On the number of unbordered factors, arXiv:1211.1301 [cs.FL], 2012.
D. Goč, H. Mousavi and J. Shallit, On the number of unbordered factors, Language and automata theory and applications, Springer, 2013, 299-310.
EXAMPLE
For n = 3 the a(3) = 4 unbordered factors of length 3 in A010060 are 001, 011, 100 and 110.
CROSSREFS
Cf. A010060.
Sequence in context: A205138 A233763 A109526 * A331118 A260723 A059214
KEYWORD
nonn
AUTHOR
Gabriel F. Lipnik, Aug 21 2019
STATUS
approved

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Last modified June 7 10:34 EDT 2023. Contains 363157 sequences. (Running on oeis4.)