11 citations · 45 across the 27 of their papers we have counts for
31 papers
Circular s-choice parking functions: an exact closed formula via rotational symmetry
Hacène Belbachir, Asma Recioui, Abdelhakim Ait-Zai
We study a circular variant of the -choice parking model: cars park on spots arranged on a circle, each car carrying an anchor and clockwise increments at leas…
Rotating-Memory Fibonacci Numbers and Periodic Tilings
Walid Abdelaidoum, El-Mehdi Mehiri, Hacène Belbachir
We introduce and study the rotating-memory Fibonacci numbers, a periodic variable-order analogue of the Fibonacci sequence in which the number of preceding terms used in the recurr…
Generalized Steinhaus triangles generated by canonical basis vectors: periodicity and weight formulas
Randa Ouchene, Hacène Belbachir
A generalized Steinhaus -triangle is obtained from a binary sequence by repeatedly replacing each block of consecutive entries by its sum modulo . We study the triangles…
Delannoy--Steinhaus triangles over : weight spectrum, balanced triangles, and extremal values
Hacène Belbachir, Randa Ouchene
A Delannoy--Steinhaus triangle is obtained from a finite sequence by a recurrence governed by the Delannoy numbers. We introduce this construction over and…
A random approach to the multibonacci sequence
Hacène Belbachir, Hamza Zeggada
This paper presents a random approach to the multibonacci sequence. We generalise the model introduced by Benjamin, Levin, Mahlburg, and Quinn, which is based on a random tiling me…
The distribution of the de Moivre experiment
Hacène Belbachir, Hamza Zeggada
In this paper, we focus on the de Moivre random experiment, which allows us to introduce the -Bernoulli distribution and the binomial distribution. We present some probabi…