On the problem of pillai with Pell numbers, Pell-Lucas numbers and powers of 3

Let {Pn}(n >= 0) be the sequence of Pell numbers defined by P-0 = 0, P-1 = 1 and Pn+2 = 2P(n+1) + P-n for all n >= 0 and let {Q(n)}(n >= 0) be its companion sequence, the Pell-Lucas numbers defined by Q(0) = Q(1) = 2 and Q(n+2) = 2Q(n+1) + Q(n) for all n >= 0. In this paper, we find all integers c admitting at least two representations as a difference between a Pell number or a Pell-Lucas number and a power of 3.