Diophantine equations with balancing-like sequences associated to Brocard-Ramanujan-type problem

Abstract

In this paper, we deal with the Brocard-Ramanujan-type equations An1An2 · · ·Ank ± 1 = Am or Gm or G 2 m where {An}n≥0 and {Gm}m≥0 are either balancing-like sequences or associated balancing-like sequences.