Results 11 to 20 of about 1,260,698 (183)

Matrix Manipulations for Properties of Pell p-Numbers and their Generalizations [PDF]

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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The complex-type Pell p-numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we define the complex-type Pell p-numbers and give the generating matrix of these defined numbers. Then, we produce the combinatorial representation, the generating function, the exponential representation and the sums of the complex-type ...
Yeşim Aküzüm, Hüseyin Aydın, Ömür Deveci   +2 more
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On a New One Parameter Generalization of Pell Numbers [PDF]

Annales Mathematicae Silesianae, 2019
In this paper we present a new one parameter generalization of the classical Pell numbers. We investigate the generalized Binet’s formula, the generating function and some identities for r-Pell numbers.
Bród Dorota
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On a New Generalization of Pell Hybrid Numbers [PDF]

Annales Mathematicae Silesianae
In this paper, we define and study a new one-parameter generalization of the Pell hybrid numbers. Based on the definition of r-Pell numbers, we define the r-Pell hybrid numbers.
Bród Dorota, Szynal-Liana Anetta, Włoch Iwona   +2 more
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A Note on Hybrid Numbers with Generalized Hybrid k-Pell Numbers as Coefficients [PDF]

Communications in Advanced Mathematical Sciences
In this study, we define a new generalization of the hybrid $k$-Pell sequence consisting of hybrid numbers with generalized hybrid $k$-Pell numbers as coefficients.
Elen Viviani Pereira Spreafico, Eudes Antonio Costa, Paula Maria Machado Cruz Catarino   +2 more
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On k-Distance Pell Numbers in 3-Edge-Coloured Graphs [PDF]

Journal of Applied Mathematics, 2014
We define in this paper new distance generalizations of the Pell numbers and the companion Pell numbers. We give a graph interpretation of these numbers with respect to a special 3-edge colouring of the graph.
Krzysztof Piejko, Iwona Włoch
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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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Some properties of bicomplex Pell and Pell-Lucas numbers

, 2021
In this work, we investigated bicomplex Pell and Pell-Lucas numbers.
Serpil Halici, Adnan Karataş, Halici, Serpil, Karatas, Adnan   +3 more
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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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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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