Year: 2026
Type: article
Abstract: We determine all integer triples ( k, m, n ) satisfying the Diophantine equations P k = J m J n and J k = P m P n , thereby characterizing Pell numbers that are products of two Jacobsthal numbers, and vice versa. In addition, we study the intersection of the Pell and Jacobsthal sequences and show that the only common values occur when m = 1, corresponding to the integers 1 and 5.
Authors: Ahmet Daşdemir, Mehmet Varol
Institution: Kastamonu University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7225173886