A308627 Numbers k such that the ternary tribonacci sequence (A080843) has a Lyndon factor of length k.

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

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