On Nathanson's Triangular Number Phenomenon

Kevin O'Bryant

For a finite set $A\subseteq \mathbb{Z}$, the $h$-fold sumset is $hA:=\{x_1+\cdots +x_h:x_i\in A\}$. We interpret the beginning of the sequence of sumset sizes $(|hA|{)}_{h=1}^{\infty }$…