TY - JOUR AU - Abdelkader HAMTAT, PY - 2023/01/25 Y2 - 2024/03/29 TI - An exponential Diophantine equation involving Narayana cow’s numbers JF - Utilitas Mathematica JA - A Canadian journal of applied mathematics, computer science and statistics VL - 120 IS - SE - Articles DO - UR - http://utilitasmathematica.com/index.php/Index/article/view/1566 SP - 37-48 AB - <p>Let (Cn)n≤0 be the Narayana cow‘s sequence given by C0 = Cfi = C2 = fi and Cn‡3 = Cn‡2 ‡ Cn for n ≤ O. In this paper, we are interested in finding all powers of two which are sums of two Narayana cow‘s numbers, i.e.,<br>we detemine all solutions of the exponential Diophantine equation Cm ‡ Cn = Xs in nonnegative integers n, m, and s ≤ X.</p> ER -