Sum of the fibonomial coefficients at most one away from Fibonacci numbers

Irmak, Nurettin2024-11-072024-11-0720161582-3067https://hdl.handle.net/11480/11371In this note, we show that the equation (Equation Presented) has no solution except that (m, n) = (1, 3), (3, 14) where [km]F is Fibonomial coefficient. © 2016, Editura Academiei Romane. All rights reserved.eninfo:eu-repo/semantics/closedAccessDiophantine equationFibonacci numberFibonomial coefficientSum of the fibonomial coefficients at most one away from Fibonacci numbersArticle1845675712-s2.0-85019303875Q4