4 papers
The distribution of the de Moivre experiment
Hacène Belbachir, 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…
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…
Some Congruences Involving Fourth Powers of Generalized Central Trinomial Coefficients
Yassine Otmani, Hacene Belbachir
Let be a prime and let . Denote by the generalized central trinomial coefficient, i.e., the coefficient of in $ (x^2 + bx +…
The Towers of Fibonacci, Lucas, Pell, and Jacobsthal
El-Mehdi Mehiri, Saad Mneimneh, Hacène Belbachir
We present in this paper four new variants of the Tower of Hanoi problem, the optimal solution of each of these variants is related to one of the four known numbers Fibonacci, Luca…