A304684 Smallest positive integer k such that the prefix of the Thue-Morse sequence (A010060) of length kn is not a k-antipower.

3, 3, 3, 3, 7, 3, 7, 3, 6, 7, 15, 3, 27, 7, 9, 3, 10, 6, 26, 7, 19, 15, 24, 3, 29, 27, 17, 7, 33, 9, 19, 3, 18, 10, 37, 6, 36, 26, 38, 7, 21, 19, 33, 15, 22, 24, 48, 3, 56, 29, 33, 27, 42, 17, 35, 7, 65, 33, 39, 9, 74, 19, 33, 3, 34, 18, 69, 10, 62, 37, 38, 6, 62, 36, 48, 26, 34, 38, 44, 7, 56, 21, 65, 19, 67, 33

Offset

1,1

Comments

A word of length kn is a k-antipower if all k consecutive blocks of length n are distinct.

Links

Table of n, a(n) for n=1..86.

Colin Defant, Anti-Power Prefixes of the Thue-Morse Word, Electronic J. Combinatorics 24 (1) (2017), Paper #P1.32.

Crossrefs

Cf. A010060.

Sequence in context: A277515 A247202 A195758 * A079084 A092323 A339053

Adjacent sequences: A304681 A304682 A304683 * A304685 A304686 A304687

Keyword

nonn

Author

Jeffrey Shallit, May 16 2018

Status

approved