Abstract

We give a partial answer to a problem of Harju by constructing an infinite ternary squarefree word w with the property that for every k≥3312 there is an interior length-k factor of w that can be deleted while still preserving squarefreeness. We also examine Thue's famous squarefree word (generated by iterating the map 0→012, 1→02, 2→1) and, with the aid of the Walnut computer prover, we characterize the positions i for which deleting the symbol appearing at position i preserves squarefreeness.

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