Results 41 to 50 of about 3,260,729 (219)
Lucas sequences and repdigits [PDF]
Mathematica Bohemica, 2022 Let $(G_n)_{n \geq1}$ be a binary linear recurrence sequence that is represented by the Lucas sequences of the first and second kind, which are $\{U_n\}$ and $\{V_n\}$, respectively.
Hayder Raheem Hashim, Szabolcs Tengely
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On Pillai’s problem with the Fibonacci and Pell sequences [PDF]
Boletín de la Sociedad Matemática Mexicana, 2018 Let \( (F_n)_{n\ge 0} \) and \( (P_n)_{n\ge 0} \) be the sequences of Fibonacci and Pell numbers given by \( F_0=P_0=0, ~ F_1 = P_1=1 \), \( F_{n+2}=F_{n+1}+F_n \), and \( P_{n+2}=2P_{n+1}+P_n \) for all \( n\ge 0 \), respectively. In the paper under review, the authors study the Pillai type problem: \begin{align*} F_n-P_m = F_{n_1}-P_{m_1} = c\tag{1} \
Santos Hernández Hernández +2 more
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Identities relating six members of the Fibonacci family of sequences
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this paper, we prove several identities each relating a sum of products of three terms coming from different members of the Fibonacci family of sequences with a comparable sum whose terms come from three other sequences.
R. Frontczak, T. Goy, M. Shattuck
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New approaches of (q,k)-Fibonacci–Pell sequences via linear difference equations. Applications [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper we establish some explicit formulas of (q,k)-Fibonacci–Pell sequences via linear difference equations of order 2 with variable coefficients, and explore some of their new properties. More precisely, our results are based on two approaches,
Irene Magalhães Craveiro +2 more
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On the Pell sequence and Hessenberg matrices
, 2012 URL: http://sjam.selcuk.edu.tr/sjam/article/view/325In this paper, we investigate the relationship between permanents of one type of upper-Hessenberg matrices (of odd order) and the Pell numbers. At the final part of this paper, we give a Maple 13 source
Yılmaz, Fatih, Bozkurt, Durmuş
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Binomial Transform of (s, t) – Pell Sequence
Journal of scientific research, 2020 : Several (s, t) – type of sequences has been established such as (s, t) – Fibonacci sequence and (s, t) – Lucas sequence, (s, t) – Jacobsthal etc. Thus in this paper, we give a new type of (s, t) – Pell sequence 〈 𝑬 𝒊 (𝒔, 𝒕) 〉 𝒏∈𝑵 E n = 2iE n-1 + E n-2 ;
A. Panwar, A. A. Wani, S. Tiwari
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Floor and ceiling functions for Pell numbers [PDF]
Notes on Number Theory and Discrete MathematicsThe analytical study of the Pell number and the role of floor and ceiling functions into their computation is examined. Closed expressions of Pell numbers were initially derived using Binet's formula, followed by an asymptotic behavior study of the ...
İsmail Sulan, Mustafa Aşçı
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On some properties of (k,h)-Pell sequence and (k,h)-Pell-Lucass sequence [PDF]
International Journal of Advances in Applied Mathematics and Mechanics, 2015 Seyyed Hossein Jafari-Petroudi +1 more
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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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Some algebraic identities on quadra Fibona-Pell integer sequence [PDF]
, 2015 WOS: 000354627000002In this work, we define a quadra Fibona-Pell integer sequence W-n = 3W(n-1) - 3W(n-3) - Wn-4 for n >= 4 with initial values W-0 = W-1 = 0, W-2 = 1, W-3 = 3, and we derive some algebraic identities on it including its relationship with
Arzu Özkoç, Özkoç, Arzu
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