How many squares must a binary sequence contain? (Q1346736)
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scientific article; zbMATH DE number 741557
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | How many squares must a binary sequence contain? |
scientific article; zbMATH DE number 741557 |
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How many squares must a binary sequence contain? (English)
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6 April 1995
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Summary: Let \(g(n)\) be the length of a longest binary string containing at most \(n\) distinct squares (two identical adjacent substrings). Then \(g(0)=3\) (010 is such a string), \(g(1)= 7\) (0001000) and \(g(2)= 18\) (010011000111001101). How does the sequence \(\{g(n)\}\) behave? We give a complete answer.
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length
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longest binary string
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distinct squares
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