Sums of $S$-units in sum of terms of recurrence sequences

P. K. Bhoi, S. S. Rout, G. K. Panda

Let $S:=\{p_1,\dots ,p_{\ell }\}$ be a finite set of primes and denote by ${\mathcal{U}}_S$ the set of all rational integers whose prime factors are all in $S$. Let $(U_n)_{n\geq 0…