This paper aims to introduce sequence of Gaussian higher order Mersenne numbers and
present their algebraic properties. We present the Binet's formula, Catalan's identity …

In the last few years, the Leonardo numbers emerge as a curious integer sequence, which is
an inhomogeneous extension of Fibonacci numbers. Here, we introduce the Leonardo …

In this article, we investigate the algebra of quaternions and octonions with components as
the higher order Mersenne numbers. We examine the inter-relations of these newly …

In this article, we present the generalized Gaussian Mersenne numbers with arbitrary initial
values and discuss two particular cases, namely, Gaussian Mersenne and Gaussian …

This paper aims to introduce sequence of Gaussian higher order Mersenne numbers and
present their algebraic properties. We present the Binet's formula, Cata-lan's identity …

This volume documents the contributions presented at The ICRTMPCS II International
Conference on Advances in Mathematical and Computational Sciences. Entries focus on …

In this paper, we introduced Gaussian Fermat numbers and polynomials. We provided the
Binet formula, generating functions, and the exponential generating function for these …

In this paper, we study and investigate the k-Mersenne and k-Mersenne-Lucas sedenions.
We give their algebraic properties in closed form and present some well-known identities …

In this paper, we study and investigate the k-Mersenne and k-Mersenne-Lucas sedenions.
We give their algebraic properties in closed form and present some well-known identities …