Results 21 to 30 of about 1,210,107 (224)
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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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 +2 more
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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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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 +2 more
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Symmetric and generating functions of generalized (p,q)-numbers
Kuwait Journal of Science, 2021 In this paper, we first define new generalization for (p,q)-numbers. Considering these sequence, we give Binet's formulas and generating functions of (p,q)-Fibonacci numbers, (p,q)-Lucas numbers, (p,q)-Pell numbers, (p,q)-Pell Lucas numbers, (p,q ...
Nabiha Saba +2 more
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On certain bihypernomials related to Pell and Pell-Lucas numbers
, 2022 The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce the concept of Pell and Pell-Lucas bihypernomials as a generalization of bihyperbolic Pell and Pell-Lucas numbers, respectively ...
LIANA, Anetta SZYNAL
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On the Reciprocal Sums of Products of Balancing and Lucas-Balancing Numbers
Mathematics, 2021 Recently Panda et al. obtained some identities for the reciprocal sums of balancing and Lucas-balancing numbers. In this paper, we derive general identities related to reciprocal sums of products of two balancing numbers, products of two Lucas-balancing ...
Younseok Choo
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Solutions of equations x2−(p2q2±3p)y2=±kt
Examples and Counterexamples, 2022 In the present paper, we have solved the equation x2−(p2q2±3p)y2=kt,x2−(p2q2±5p)y2=ktand expressed its positive integer solutions in terms of generalized Fibonacci, generalized Lucas and generalized Pell, generalized Pell–Lucas sequences.
Roji Bala, Vinod Mishra
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Exact divisibility by powers of the Pell and Associated Pell numbers
Proceedings - Mathematical Sciences, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G K Panda, Asim Patra
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