Properties of Generalized Fifth-Order Pell Numbers Abstract 1 Introduction and Preliminaries
Page 1 Asian Research Journal of Mathematics 15(3): 1-18, 2019; Article no.ARJOM.52522 ISSN …

From Binet's formula of Mersenne sequence we get some properties for this sequence.
Mersenne, Jacobsthal and Jacobsthal-Lucas sequences are considered in order to achieve …

The Pell sequence $(P_n) _ {n= 0}^{\infty} $ is the second order linear recurrence defined by
$ P_n= 2P_ {n-1}+ P_ {n-2} $ with initial conditions $ P_0= 0$ and $ P_1= 1$. In this paper …

In this paper, we consider the generalized Fibonacci p-numbers and then we give the
generalized Binet formula, sums, combinatorial representations and generating function of …

k-nacci Sequences in Minimal Non-Abelian p-Groups Page 1 Utilitas Mathematica 96(2015),
pp. 263-276 The Pell Sequences in Finite Groups Ömür DEVECİ*, Erdal KARADUMAN † …

A generalization of the well–known Fibonacci sequence is the ℓ-Fibonacci sequence (F m
(ℓ)) m whose first ℓ terms are 0,…, 0, 1 and each term afterwards is the sum of the preceding …

In this paper, we define the Padovan p-numbers and then we obtain their miscellaneous
properties such as the generating matrix, the Binet formula, the generating function, the …

In this paper we investigate the generalized Pell numbers of order r≥ 2 through the
properties of their related fundamental system of generalized Pell numbers. That is, the …

In this paper, we consider the usual Jacobsthal numbers and defined a new sequence
which is called generalized order-k Jacobsthal sequence. Then, we investigate some …

In this paper, closed forms of the summation formulas∑ nk= 0 xkWmk+ j for generalized
Fibonacci numbers are presented. As special cases, we give summation formulas of …