Geodesic
Sequences of integers avoiding 3-term arithmetic progressions
The electronic journal of combinatorics, Tome 19 (2012) no. 1
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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.
DOI : 10.37236/1180
Classification : 11B25, 05D10
Mots-clés : optimal length of a sequence, subadditivity 
@article{10_37236_1180,
     author = {Arun Sharma},
     title = {Sequences of integers avoiding 3-term arithmetic progressions},
     journal = {The electronic journal of combinatorics},
     year = {2012},
     volume = {19},
     number = {1},
     doi = {10.37236/1180},
     zbl = {1243.05023},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1180/}
}
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Arun Sharma. Sequences of integers avoiding 3-term arithmetic progressions. The electronic journal of combinatorics, Tome 19 (2012) no. 1. doi: 10.37236/1180

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