5 citations · 5 across the 2 of their papers we have counts for
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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…
Decomposable forms generated by linear recurrences
Kalman Gyory, Attila Petho, Laszlo Szalay
Consider distinct, linearly independent, homogeneous linear recurrences of order satisfying the same recurrence relation. We prove that the recurrences are related to…
Recurrence sequences in the hyperbolic Pascal triangle corresponding to the regular mosaic $\{4,5\}
László Németh, László Szalay
Recently, a new generalization of Pascal's triangle, the so-called hyperbolic Pascal triangles were introduced. The mathematical background goes back to the regular mosaics in the…
On the -coordinates of Pell equations which are Tribonacci numbers
Florian Luca, Amanda Montejano, Laszlo Szalay +1
For an integer which is not a square, we show that there is at most one value of the positive integer participating in the Pell equation which is a T…