Results 151 to 160 of about 9,739,525 (175)

AN INTEGRAL REPRESENTATION OF THE PELL NUMBERS AND THE PELL-LUCAS NUMBERS

Journal of Science Natural Science
We report on an integral representation for the Pell sequence, Pell-Lucas sequence, Balancing sequence and Lucas-Balancing sequence. This integral representation  is based on the generating function  and  the Binet-like formulas of the aforementioned sequences.
null Luu Ba Thang, null Nguyen Duc Sang
openaire   +1 more source

Common Factors of Pell and Pell-Lucas numbers

2021
Progress in Applied Science and Technology, 11, 1, 7 ...
openaire   +1 more source

The Binet Formulas for the Pell and Pell-Lucas p-Numbers.

Ars Comb., 2007
In this paper, we define the Pell and Pell-Lucas p-numbers and derive the analytical formulas for these numbers. These formulas are similar to Bin et's formula for the classical Pell numbers.
Kocer, E. Gokcen, Tuglu, Naim
openaire   +3 more sources

On The Properties Of New Families Of Pell And Pell-Lucas Numbers.

Ars Comb., 2014
In this paper, new families of Pell and Pell-Lucas numbers are introduced. In addition, we present the recurrence relations and the generating functions of the new families for k = 2.
Gokkaya, Havva, Uslu, Kemal
openaire   +2 more sources

A Problem of Diophantus and Pell Numbers

1998
Several Diophantine quadruples in terms of Pell numbers are constructed using general construction of Diophantine quadruples with property D(l^2).
openaire   +1 more source

New Recurrences on Pell Numbers, Pell-Lucas Numbers, Jacobsthal Numbers, and Jacobsthal-Lucas Numbers

Chaos, Solitons and Fractals, 2021
Engin Özkan, Songül Çelik
exaly  

Integral representations of the Pell and Pell-Lucas numbers

Journal of Science and Science Education, 7, 2, 272 ...
openaire   +1 more source

Pell and Pell-Lucas numbers with applications

Choice Reviews Online, 2015
openaire   +1 more source

Incomplete $k$-Pell, $k$-Pell-Lucas and modified $k$-Pell numbers

2015
In this paper, it is defined the incomplete $k$-Pell, $k$-Pell-Lucas and Modified $k$-Pell numbers, it is studied the recurrence relations, some properties of these sequences of integers and their generating functions.
CATARİNO, Paula, CAMPOS, Helena
openaire   +1 more source

Pell and Pell–Lucas Numbers as Sums of Two Repdigits

Bulletin of the Malaysian Mathematical Sciences Society, 2020
Alain S.Y.G. Togbé, Florian Luca
exaly