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- W2130486819 abstract "Every binary word with at least four letters contains a square. A. Fraenkel and J. Simpson showed that three distinct squares are necessary and sufficient to construct an infinite binary word. We study the following complementary question: how many square occurrences must a binary word contain? We show that this quantity is, in the limit, a constant fraction of the word length, and prove that this constant is $0.55080...$." @default.
- W2130486819 created "2016-06-24" @default.
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- W2130486819 date "2003-04-15" @default.
- W2130486819 modified "2023-10-12" @default.
- W2130486819 title "How Many Square Occurrences Must a Binary Sequence Contain?" @default.
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- W2130486819 doi "https://doi.org/10.37236/1705" @default.
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