Results 111 to 120 of about 11,331 (154)

On \(k\)-Pell-Lucas Numbers Close to a Power of 2

open access: yes
Bachabi, Mohamadou   +2 more
openaire   +2 more sources

Pell and Pell–Lucas Numbers as Product of Two Repdigits

Mathematical Notes, 2022
Let \( (P_n)_{n\ge 0} \) and \( (Q_n)_{n\ge 0} \) be the sequences of Pell and Pell-Lucas numbers, respectively, given by the linear recurrences: \( P_0=0, P_1=1 \), \( Q_0=2, Q_1=2 \), and \( P_{n+2}=2P_{n+1}+P_n \) and \( Q_{n+2}=2Q_{n+1}+Q_n \) for all \( n\ge 0 \).
Erduvan, F., Keskin, R.
exaly   +2 more sources

Pell–Lucas Numbers as Sum of Same Power of Consecutive Pell Numbers

Mediterranean Journal of Mathematics, 2022
Let \(P_{n}\) be the \(n\)-th term of the Pell sequence defined as \(P_{0}=0, P_{1}=1, P_{n}=2P_{n+1}+P_{n}\) and let \(Q_{n}\) be the \(n\)-th term of the Pell-Lucas sequence defined as \(Q_{0}=Q_{1}=2, Q_{n}=2Q_{n-1}+Q_{n-2}\). The authors are interested in non-negative integers \((m, n, k, x)\) solutions of the Diophantine equation \[ P_{n}^{x}+P_{n+
Salah Eddine Rihane, Alain Togbé
exaly   +2 more sources

On applications of Pell and Pell-Lucas numbers with matrix method

Journal of Intelligent & Fuzzy Systems, 2023
In this study, new matrices which produce the Pell and Pell-Lucas numbers are given. By using these matrices, new identities and relations related to the Pell and Pell-Lucas numbers are obtained.
Ümmügülsün Akbaba, Ali H. Deger
openaire   +1 more source

On Pell and Pell−Lucas Hybrid Numbers

Commentationes Mathematicae, 2019
In this paper we introduce the Pell and Pell−Lucas hybrid numbers as special kinds of hybrid numbers. We describe some properties of Pell hybrid numbers and Pell−Lucas hybrid numbers among other we give the Binet formula, the character and the generating function for these numbers.
Anetta Szynal-Liana, Iwona Włoch
openaire   +1 more source

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