Let \(k\ge 2\) . A generalization of the well-known Fibonacci and Lucas sequences are the k-Fibonacci and k-Lucas sequences. For these sequences, the first k terms are \(0,\ldots ,0,1\) and \(0,\ldots ,0,2,1\) , respectively, and each term afterwards is the sum of the preceding k terms. The principal objective of this manuscript is to identify all instances of k-Fibonacci and k-Lucas numbers that can be expressed as the product of two Pell numbers. This generalizes the result from Ref. Ddamulira et al. (Fibonacci Q 54: 11–18, 2016).
