Results 31 to 40 of about 1,210,107 (224)
Connections between Fibonacci and Pell numbers [PDF]
, 2021 In this paper, we introduce several convolution identities that combine Fibonacci and Pell numbers.
Merca, Mircea
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On Some Properties of Bihyperbolic Numbers of The Lucas Type
Communications in Advanced Mathematical Sciences, 2023 To date, many authors in the literature have worked on special arrays in various computational systems. In this article, Lucas type bihyperbolic numbers were defined and their algebraic properties were examined. Bihyperbolic Lucas numbers were studied by
Fügen Torunbalcı Aydın
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The Solution of a System of Higher-Order Difference Equations in Terms of Balancing Numbers
Pan-American Journal of Mathematics, 2023 In this paper, we are interested in the closed-form solution of the following system of nonlinear difference equations of higher order, un+1 = 1/34-vn-m , vn+1 = 1/34-un-m, n, m ∈ N0, and the initial values u-j and v-j , j∈{0, 1, ..., m} are real numbers
Ahmed Ghezal, Imane Zemmouri
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De Moivre-Type Identities for the Pell Numbers [PDF]
, 2021 This paper aims to present a method for constructing the second order Pell and Pell-Lucas numbers and the third order Pell and Pell-Lucas numbers.Moreover, we obtain the De Moivre-type identities for these numbers.
Mücahit AKBIYIK +3 more
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On some links between the generalised Lucas pseudoprimes of level k
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 Pseudoprimes are composite integers sharing behaviours of the prime numbers, often used in practical applications like public-key cryptography. Many pseudoprimality notions known in the literature are defined by recurrent sequences.
Andrica Dorin +2 more
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Markov Triples with Generalized Pell Numbers
Mathematics, 2023 For an integer k≥2, let (Pn(k))n be the k-generalized Pell sequence which starts with 0,…,0,1 (k terms), and each term afterwards is given by Pn(k)=2Pn−1(k)+Pn−2(k)+⋯+Pn−k(k). In this paper, we determine all solutions of the Markov equation x2+y2+z2=3xyz,
Julieth F. Ruiz +2 more
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On Mixed 𝐵-Concatenations of Pell and Pell–Lucas Numbers which are Pell Numbers
Mathematica PannonicaLet (𝑃𝑛)𝑛≥0 and (𝑄𝑛)𝑛≥0 be the Pell and Pell–Lucas sequences. Let 𝑏 be a positive integer such that 𝑏 ≥ 2. In this paper, we prove that the following two Diophantine equations 𝑃𝑛 = 𝑏𝑑𝑃𝑚 + 𝑄𝑘 and 𝑃𝑛 = 𝑏𝑑𝑄𝑚 + 𝑃𝑘 with 𝑑, the number of digits of 𝑃𝑘 or 𝑄𝑘 in base 𝑏, have only finitely many solutions in nonnegative integers (𝑚, 𝑛, 𝑘, 𝑏, 𝑑).
Adédji, Kouéssi Norbert +1 more
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The Adjacency-Pell-Hurwitz Numbers
Integers, 2018 See the abstract in the attached pdf.
Josh Hiller +2 more
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, 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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A note on k-pell, k-pell-lucas and modified k-pell numbers with arithmetic indexes [PDF]
, 2020 In this paper, we define the k-Pell, k-Pell-Lucas and Modified k-Pell numbers with arithmetic indexes, study some properties of these sequences of numbers and give their generating ...
Campos, Helena +2 more
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