MMN-556
A proof of a conjecture of Marques and Trojovsky
Emrah Kiliç;Abstract
In this paper, we consider Marques and Trojovskys conjecture involving Fibonomial coefficients, Fibonacci and Lucas numbers. After rewriting
it in terms of Gaussian $q$-binomial coe¢ cients and $q$-Pochhammer symbols, we give a solution of the conjecture. The approach is to use $q$-analysis to prove the claimed formulas.
Vol. 15 (2014), No. 2, pp. 545-557