A304684 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

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

(list; graph; refs; listen; history; text; internal format)

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