3 papers
math.NT2024
Explicit solution of system of two higher-order recurrences
László Németh, László Szalay
We give a method to determine an explicit solution to a system of two inhomogeneous linear recursive sequences of higher order. Our approach can be used efficiently in solving cert…
math.CO2024
The Fibonacci-Fubini and Lucas-Fubini numbers
Yahia Djemmada, Abdelghani Mehdaoui, László Németh +1
Based on the combinatorial interpretation of the ordered Bell numbers, which count all the ordered partitions of the set , we introduce the Fibonacci partition…
math.NT2024
On certain Fibonacci representations
Kálmán Liptai, László Németh, Tamás Szakács +1
One of the most popular and studied recursive series is the Fibonacci sequence. It is challenging to see how Fibonacci numbers can be used to generate other recursive sequences. In…