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{\bf Tero Harju, Tomi K\"arki and Dirk Nowotka }
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{\bf The Number of Positions Starting a Square in Binary Words}
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We consider the number $\sigma(w)$ of positions that do not start a square
in binary words~$w$.  Letting $\sigma(n)$ denote the maximum of $\sigma(w)$
for length $|w|=n$, we show that $\lim \sigma(n)/n = 15/31$.



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