Results 1 to 10 of about 9,774,386 (178)

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

Bachabi, Mohamadou, Kourouma, Bakary, Togbé, Alain   +2 more
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Pell and Pell–Lucas Numbers With Applications

, 2014
Pell and Pell–Lucas Numbers has been carefully crafted as an undergraduate/graduate textbook; the level of which depends on the college/university and the instructor’s preference.
Thomas Koshy
exaly   +3 more sources

On Pell and Pell−Lucas Hybrid Numbers [PDF]

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
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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
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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 S.Y.G. Togbé
exaly   +2 more sources

s-PELL AND s-PELL-LUCAS NUMBERS AND THEIR PROPERTIES

Far East Journal of Mathematical Sciences (FJMS), 2017
We introduce new families of s-Pell and s-Pell-Lucas numbers and establish certain identities. We also present the recurrence relations and the generating functions for a particular case. © 2017 Pushpa Publishing House, Allahabad, India.
Kirgiz H., Uslu K.
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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.
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Perfect Pell and Pell–Lucas numbers

Studia Scientiarum Mathematicarum Hungarica, 2019
Abstract The Pell sequence is given by the recurrence Pn = 2Pn−1 + Pn−2 with initial condition P0 = 0, P1 = 1 and its associated Pell-Lucas sequence is given by the same recurrence relation but with initial condition Q0 = 2, Q1 = 2. Here we show that 6 is the only perfect number appearing in these sequences.
Jhon J. Bravo, Florian Luca
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On the problem of Pillai with Pell numbers, Pell–Lucas numbers and powers of 3

International Journal of Number Theory, 2022
Let [Formula: see text] be the sequence of Pell numbers defined by [Formula: see text], [Formula: see text] and [Formula: see text] for all [Formula: see text] and let [Formula: see text] be its companion sequence, the Pell–Lucas numbers defined by [Formula: see text] and [Formula: see text] for all [Formula: see text].
Faye, Bernadette, Edjeou, Bilizimbéyé
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Pell and Pell–Lucas Numbers as Sums of Two Repdigits

Bulletin of the Malaysian Mathematical Sciences Society, 2019
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Chèfiath Adegbindin, Florian Luca, Alain Togbé   +2 more
openaire   +2 more sources