TY - JOUR
AU - Abdelkader HAMTAT,
PY - 2023/01/25
Y2 - 2024/08/13
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 - https://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 -