Sequences of integers avoiding 3-term arithmetic progressions
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.
scientific article; zbMATH DE number 6045651
scientific article