8 citations · 25 across the 15 of their papers we have counts for
5 papers · 1 filter
Tilings of hyperbolic -board with colored squares and dominoes
Takao Komatsu, László Németh, László Szalay
Several articles deal with tilings with squares and dominoes of the well-known regular square mosaic in Euclidean plane, but not any with the hyperbolic regular square mosaics. In…
On the Diophantine equation
Gökhan Soydan, László Németh, László Szalay
Let denote the term of the Fibonacci sequence. In this paper, we investigate the Diophantine equation in the positive integers…
Power sums in hyperbolic Pascal triangles
László Németh, László Szalay
In this paper, we describe a method to determine the power sum of the elements of the rows in the hyperbolic Pascal triangles corresponding to with . The method is…
Alternating sums in hyperbolic Pascal triangles
László Németh, László Szalay
A new generalization of Pascal's triangle, the so-called hyperbolic Pascal triangles were introduced in [H.B, L.N, L.Sz: Hyperbolic Pascal triangles]. The mathematical background g…
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…