On a Diophantine equation of Erdős and Graham

Szabolcs Tengely, Maciej Ulas, Jakub Zygadło

We study solvability of the Diophantine equation \begin{equation*} \frac{n}{2^{n}}=\sum_{i=1}^{k}\frac{a_{i}}{2^{a_{i}}}, \end{equation*} in integers $n,k,a_1,\dots ,a_k$ sa…