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2024 Heart Disease and Stroke Statistics: A Report of US and Global Data From the American Heart Association. [PDF]

Circulation
Martin SS, Aday AW, Almarzooq ZI, Anderson CAM, Arora P, Avery CL, Baker-Smith CM, Barone Gibbs B, Beaton AZ, Boehme AK, Commodore-Mensah Y, Currie ME, Elkind MSV, Evenson KR, Generoso G, Heard DG, Hiremath S, Johansen MC, Kalani R, Kazi DS, Ko D, Liu J, Magnani JW, Michos ED, Mussolino ME, Navaneethan SD, Parikh NI, Perman SM, Poudel R, Rezk-Hanna M, Roth GA, Shah NS, St-Onge MP, Thacker EL, Tsao CW, Urbut SM, Van Spall HGC, Voeks JH, Wang NY, Wong ND, Wong SS, Yaffe K, Palaniappan LP, American Heart Association Council on Epidemiology and Prevention Statistics Committee and Stroke Statistics Subcommittee.   +43 more
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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 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, Togbé Alain   +2 more
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

Pell and Pell–Lucas Numbers with Applications

2014
exaly   +2 more sources

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