An extension of the Erdős-Tetali theorem

Christian Táfula

Given a sequence $\mathcal{A}=\{a_0<a_1<a_2\dots \}\subseteq \mathbb{N}$, let $r_{\mathcal{A},h}(n)$ denote the number of ways $n$ can be written as the sum of $h$ elements of $\ma…