Y. Otmani

activity

20202026

collaborators

3 papers

math.NT2026

New Congruences Involving $p$ -adic dual sequences

Yassine Otmani

Let $(a_{n})_{n ⩾ 0}$ be a sequence of integers. Its dual sequence $(a_{n}^{*})_{n ⩾ 0}$ is defined by \begin{equation*} a_n^* := \sum_{k=0}^{n} \binom{n}{k}(-1)^k a_k. \en…

math.NT2025

Some Congruences Involving Fourth Powers of Generalized Central Trinomial Coefficients

Yassine Otmani, Hacene Belbachir

Let $p \geq 5$ be a prime and let $b, c \in Z$ . Denote by $T_{k} (b, c)$ the generalized central trinomial coefficient, i.e., the coefficient of $x^{k}$ in $ (x^2 + bx +…

math.CO2020

A Strehl Version of Fourth Franel Sequence

Hacene Belbachir, Yassine Otmani

We give a combinatorial identity related to the Franel numbers involving the sum of fourth power of binomial coefficients. Furthermore, investigating in J. Mikic's proof of the fir…

New Congruences Involving p-adic dual sequences

Some Congruences Involving Fourth Powers of Generalized Central Trinomial Coefficients

A Strehl Version of Fourth Franel Sequence

New Congruences Involving $p$ -adic dual sequences