Diego Marques

On some new identities for the Fibonomial coefficients

AbstractLet Fn be the nth Fibonacci number. The Fibonomial coefficients

On Integer Numbers with Locally Smallest Order of Appearance in the Fibonacci Sequence

\left[ {\begin{array}{*{20}c} n \\ k \\ \end{array} } \right]_F

ON A PROBLEM POSED BY MAHLER

are defined for n ≥ k > 0 as follows

A positive answer for a question proposed by K. Mahler

\left[ {\begin{array}{*{20}c} n \\ k \\ \end{array} } \right]_F = \frac{{F_n F_{n - 1} \cdots F_{n - k + 1} }} {{F_1 F_2 \cdots F_k }},

A Note on Transcendental Power Series Mapping the Set of Rational Numbers into Itself

with