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A308627 Numbers k such that the ternary tribonacci sequence (A080843) has a Lyndon factor of length k. 0
1, 2, 3, 4, 5, 6, 7, 9, 11, 13, 16, 18, 20, 22, 24, 29, 31, 35, 37, 40, 42, 44, 53, 55, 57, 64, 66, 68, 77, 79, 81, 97, 99, 101, 110, 112, 121, 123, 125, 134, 136, 145, 147, 149, 178, 180, 189, 191, 193, 215, 217, 226, 228, 230, 246, 248, 250, 259, 261, 270 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A "factor" is a contiguous subblock. A factor is "Lyndon" if it is lexicographically least among all its cyclic shifts.

LINKS

Table of n, a(n) for n=1..60.

Hamoon Mousavi and Jeffrey Shallit, Mechanical Proofs of Properties of the Tribonacci Word, arXiv:1407.5841 [cs.FL], 2014.

H. Mousavi and J. Shallit, Mechanical Proofs of Properties of the Tribonacci Word, In: Manea F., Nowotka D. (eds) Combinatorics on Words. WORDS 2015. Lecture Notes in Computer Science, vol 9304. Springer, 2015, pp. 170-190.

CROSSREFS

Cf. A080843.

Sequence in context: A347327 A026445 A279078 * A330500 A030151 A307360

Adjacent sequences: A308624 A308625 A308626 * A308628 A308629 A308630

KEYWORD

nonn

AUTHOR

Jeffrey Shallit, Jun 11 2019

STATUS

approved

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Last modified November 28 22:51 EST 2022. Contains 358421 sequences. (Running on oeis4.)