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math.NT2023★ 2 cited
The sequence of higher order Mersenne numbers and associated binomial transforms
Kalika Prasad, Munesh Kumari, Rabiranjan Mohanta +1
In this article, we introduce and study a new integer sequence referred to as the higher order Mersenne sequence. The proposed sequence is analogous to the higher order Fibonacci n…
math.NT2021
On some new families of k-Mersenne and generalized k-Gaussian Mersenne numbers and their polynomials
Munesh Kumari, Jagmohan Tanti, Kalika Prasad
In this paper, we define new generalized k-Mersenne numbers and give a formula of generalized Mersenne polynomials and further we study their properties. Moreover, we define Gaussi…