Fibonacci prefix antipower conjecture
Fibonacci prefix antipower conjecture
Let be an even Fibonacci number, where the Fibonacci numbers satisfy the usual recurrence, and let denote the Fibonacci word. A -antipower is a concatenation of pairwise distinct blocks of equal length. Fibonacci prefix antipower conjecture. There is an -antipower with block length that is a prefix of . Based on the supplied text, this is an empirical conjecture about explicit antipower prefixes of the Fibonacci word; no resolution is given.
Sources & referencesView supporting material
Primary source
Swapnil Garg, “Antipowers in Uniform Morphic Words and the Fibonacci Word”, arXiv:1907.10816 (2021).
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