Sequences of integers avoiding 3-term arithmetic progressions (Q426786)
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scientific article; zbMATH DE number 6045651
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sequences of integers avoiding 3-term arithmetic progressions |
scientific article; zbMATH DE number 6045651 |
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Sequences of integers avoiding 3-term arithmetic progressions (English)
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12 June 2012
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Summary: The optimal length \(r(n)\) of a sequence in \([1, n]\) containing no 3-term arithmetic progression is determined for several new values of \(n\) and some results relating to the subadditivity of \(r\) are obtained. We also prove a particular case of a conjecture of Szekeres.
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optimal length of a sequence
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subadditivity
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0.9447019
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0.9063807
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0.89919406
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0.89919406
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0.8960129
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0.8898979
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0.8886163
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0.87871253
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