On the Diophantine equation
Refik Keskin, Zafer Şiar, Olcay Karaatlı (2013)
Czechoslovak Mathematical Journal
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In this study, we determine when the Diophantine equation has an infinite number of positive integer solutions and for Moreover, we give all positive integer solutions of the same equation for in terms of generalized Fibonacci sequence. Lastly, we formulate a conjecture related to the Diophantine equation .