1,3

A word of length tn is an n-antipower if all n consecutive blocks of length t are distinct.

Defant proved that a(n) is finite for all n.

Table of n, a(n) for n=1..82.

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

Cf. A010060.

Cf. A304682, which gives the largest odd integer with the property.

Sequence in context: A135213 A145725 A058727 * A035658 A077018 A007918

Adjacent sequences: A304680 A304681 A304682 * A304684 A304685 A304686

nonn

Jeffrey Shallit, May 16 2018

approved