Erdős Problem #358 — Let $A=\{a_1<\cdots\}$ be an infinite sequence of integers. Let $f(n)$ count the number of solutions to $n=\sum_{u\leq i\leq v}a_i.$ Is there such an $A$ for which $f(n)\to \infty$ as $n\to \infty$?

Let $A=\{a_1<\cdots\}$ be an infinite sequence of integers. Let $f(n)$ count the number of solutions to $n=\sum_{u\leq i\leq v}a_i.$ Is there such an $A$ for which $f(n)\to \infty$ as $n\to \infty$? Or even where $f(n)\geq 2$ for all large $n$?