Power of Two as sums of Three Pell Numbers

Jhon J. Bravo, Bernadette Faye, Florian Luca

In this paper, we find all the solutions of the Diophantine equation $P_{\ell }+P_m+P_n=2^a$, in nonnegative integer variables $(n,m,\ell ,a)$ where $P_k$ is the $k$-th term of the…