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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 Pell sequence $\{P_n\}_{n\ge 0}$ given by $P_0=0$,$P_1=1$ and $P_{n+1}=2P_{n}+ P_{n-1}$ for all $n\geq 1$.

Power of Two as sums of Three Pell Numbers