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We study the minimal proportion (density) of one letter in nth power-free binary words. First, we introduce and analyse a general notion of minimal letter density for any infinite set of words which does not contain a specified set of ''prohibited'' subwords. We then prove that for nth power-free binary words the density function is 1/n + 1/n 3 + 1/n 4 + O(1/n 5 ). We also...
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