8 papers
Sequences involving square zig-zag shapes
László Németh, László Szalay
We define a so-called square -zig-zag shape as a part of the regular square grid. Considering the shape as a -zig-zag digraph, we give values of its vertices according to the…
The deranged Bell numbers
Hacéne Belbachir, Yahia Djemmada, László Németh
It is known that the ordered Bell numbers count all the ordered partitions of the set . In this paper, we introduce the deranged Bell numbers that count the to…
Resolution of the equation
Kálmán Liptai, László Németh, Gökhan Soydan +1
Consider the diophantine equation in positive integers , and . Each side of the equation is a product of two…
Tilings of -board with colored cubes and bricks
László Németh
Several articles deal with tilings with squares and dominoes on 2-dimensional boards, but only a few on boards in 3-dimensional space. We examine a tiling problem with colored cube…
Trend detection in GEV models
László Németh, Zuzana Hübnerová, András Zempléni
In recent environmental studies extreme events have a great impact. The yearly and monthly maxima of environment related indices can be analysed by the tools of extreme value theor…
Tetrahedron trinomial coefficient transform
László Németh
We introduce the tetrahedron trinomial coefficient transform which takes a Pascal-like arithmetical triangle to a sequence. We define a Pascal-like infinite tetrahedron H, and prov…