Números de Pell de tipo k que se representan como producto de dos números de Narayana

For an integer k ≥ 2, let {P(k)n}n be the k-generalized Pell sequence which starts with 0, . . . , 0, 1(k terms) and each term afterwards is the sum of k preceding terms. The purpose of this paper is to determine all k-Pell numbers, which are the product of two of Narayana’s numbers. More precisely, we study the Diophantine equation P(k)n = Nm Nl in positive integers (n, k, m, l) with k ≥ 2, where {Nm}m is the Narayana’s cows sequence.