Add to ORKGIn this paper, we introduce the generalized Mersenne sequence and we deal with, in detail, two special cases, namely, Mersenne and Mersenne-Lucas sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences
Complex numbers, hyperbolic numbers, and dual numbers are well-known number systems in the literatur...
Abstract The Fibonacci sequence, Lucas numbers and their generalization have many interesting proper...
In this study, a new generalization of the usual Jacobsthal sequence is presented, which is called t...
From Binet’s formula of Mersenne sequence we get some properties for this sequence. Mersenne, Jacob...
From Binet’s formula of Mersenne sequence we get some properties for this sequence. Mersenne, Jacobs...
In this paper, we define the generalized k-Mersenne numbers and give a formula of generalized Mersen...
In this paper we introduce generalized Mersenne numbers. We shall present some of their interpretati...
Here we discuss the Mersenne numbers to give an example of a generalized sum.Using this sum, a recur...
From Binet’s formula of Mersenne sequence we get some properties for this sequence. Mersenne, Jacobs...
Copyright © 2014 Mamta Singh et al. This is an open access article distributed under the Creative Co...
Here we discuss the Mersenne numbers to give an example of a generalized sum. Using this sum, a recu...
WOS: 000329081500003In this study, we define a generalization of Lucas sequence {p(n)}. Then we obta...
The relationship between the Nandu sequence of the SM family of graphs and the generalized Mersenne ...
Here we discuss the Mersenne numbers to give an example of a generalized sum. Using this sum, a recu...
The relationship between the Nandu sequence of the SM family of graphs and the generalized Mersenne ...
Complex numbers, hyperbolic numbers, and dual numbers are well-known number systems in the literatur...
Abstract The Fibonacci sequence, Lucas numbers and their generalization have many interesting proper...
In this study, a new generalization of the usual Jacobsthal sequence is presented, which is called t...
From Binet’s formula of Mersenne sequence we get some properties for this sequence. Mersenne, Jacob...
From Binet’s formula of Mersenne sequence we get some properties for this sequence. Mersenne, Jacobs...
In this paper, we define the generalized k-Mersenne numbers and give a formula of generalized Mersen...
In this paper we introduce generalized Mersenne numbers. We shall present some of their interpretati...
Here we discuss the Mersenne numbers to give an example of a generalized sum.Using this sum, a recur...
From Binet’s formula of Mersenne sequence we get some properties for this sequence. Mersenne, Jacobs...
Copyright © 2014 Mamta Singh et al. This is an open access article distributed under the Creative Co...
Here we discuss the Mersenne numbers to give an example of a generalized sum. Using this sum, a recu...
WOS: 000329081500003In this study, we define a generalization of Lucas sequence {p(n)}. Then we obta...
The relationship between the Nandu sequence of the SM family of graphs and the generalized Mersenne ...
Here we discuss the Mersenne numbers to give an example of a generalized sum. Using this sum, a recu...
The relationship between the Nandu sequence of the SM family of graphs and the generalized Mersenne ...
Complex numbers, hyperbolic numbers, and dual numbers are well-known number systems in the literatur...
Abstract The Fibonacci sequence, Lucas numbers and their generalization have many interesting proper...
In this study, a new generalization of the usual Jacobsthal sequence is presented, which is called t...