Results 21 to 30 of about 2,867 (218)

Generalized sum of Pell Numbers [PDF]

, 2021
Here we are proposing a generalized sum for Pell numbers. This sum contains four Pell numbers. By means of this generalized sum, the Pell number at position (n+m) in the sequence is given by the Pell numbers at positions n, m, (n-1) and (m-1)
Sparavigna, Amelia Carolina, Sparavigna, A. C.   +1 more
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On Generalized Pell Numbers of Order r ≥ 2

Trends in Computational and Applied Mathematics, 2021
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.
E. V. Pereira Spreafico, M. Rachidi
doaj   +1 more source

One Type of Symmetric Matrix with Harmonic Pell Entries, Its Inversion, Permanents and Some Norms

Mathematics, 2021
The Pell numbers, named after the English diplomat and mathematician John Pell, are studied by many authors. At this work, by inspiring the definition harmonic numbers, we define harmonic Pell numbers.
Seda Yamaç Akbiyik, Mücahit Akbiyik, Fatih Yilmaz   +2 more
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Matrix Representation of Bi-Periodic Pell Sequence [PDF]

Journal of Mahani Mathematical Research, 2023
In this study, a generalization of the Pell sequence called bi-periodic Pell sequence is carried out to matrix theory. Therefore, we call this matrix sequence the bi-periodic Pell matrix sequence whose entries are bi-periodic Pell numbers.
Sukran UYGUN, Ersen Akıncı
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On Pellnomial coefficients and Pell–Catalan numbers [PDF]

, 2022
WOS:000925932800003In this paper, we first give the Pascal’s identity for Pellno-mial coefficients and then we show that the Pellnomial coefficients are integers. We obtain that the product of r consecutive Pell numbers is divisible by the Pell analog of
İpek, Ahmet
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Pell and Pell-Lucas numbers of the form $-2^a-3^b+5^c$ [PDF]

, 2020
summary:In this paper, we find all Pell and Pell-Lucas numbers written in the form $-2^a-3^b+5^c$, in nonnegative integers $a$, $b$, $c$, with $0\leq \max \{a,b\}\leq c$
Qu, Yunyun, Zeng, Jiwen
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On (k,p)-Fibonacci Numbers

Mathematics, 2021
In this paper, we introduce and study a new two-parameters generalization of the Fibonacci numbers, which generalizes Fibonacci numbers, Pell numbers, and Narayana numbers, simultaneously.
Natalia Bednarz
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On a generalization of the Pell sequence [PDF]

Mathematica Bohemica, 2021
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 $P_1=1$.
Jhon J. Bravo, Jose L. Herrera, Florian Luca   +2 more
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Pell numbers [PDF]

, 2022
Niz Pellovih brojeva zadan je početnim uvjetima \(P_1=1, P_2=2\), te rekurzivnom relacijom \(P_n=2P_{n-1}+P_{n-2}, n \geq 3\). Uz definiciju Pellovih brojeva, u radu su definirani i Pell–Lucasovi brojevi koji su s njima usko povezani.
Marić, Helena
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Matrix Manipulations for Properties of Pell p-Numbers and their Generalizations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
In this paper, we define the Pell-Pell p-sequence and then we discuss the connection of the Pell-Pell p-sequence with Pell and Pell p-sequences. Also, we provide a new Binet formula and a new combinatorial representation of the Pell-Pell p-numbers by the
Erdağ Özgür, Deveci Ömür, Shannon Anthony G.   +2 more
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