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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.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…