Irmak, N.Alp, M.2024-11-072024-11-0720170862-9544https://hdl.handle.net/11480/11134The k-generalized Fibonacci sequence (formula presented) is defined as the sum of the k proceeding terms and initial conditions are 0,…,0, 1 (k terms). In this paper, we solve the diophantine equation (formula presented), where a, b, c and ? are nonnegative integers with max {a, b} ? c and 0 ? ? ? 5. This work generalizes a recent Marques [9] and the first author, Szalay [6] results. © 2017, Univerzita Komenskeho. All rights reserved.eninfo:eu-repo/semantics/closedAccessk-generalized Fibonacci sequenceLinear forms in logarithmsReduction methodArticle8622792862-s2.0-85027568378Q3