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Publicationes Mathematicae Debrecen, 2010
A positive integer \(n\) is a balancing number if \(1 +\dots + (n - 1) = (n + 1) + \dots + (n + r)\) holds with some positive integer \(r\). The problem of finding balancing numbers goes back to the work of \textit{R. Finkelstein} [Am.\ Math.\ Mon.\ 72, 1082--1088 (1965; Zbl 0151.03305)].
Kovács, Tünde +2 more
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A positive integer \(n\) is a balancing number if \(1 +\dots + (n - 1) = (n + 1) + \dots + (n + r)\) holds with some positive integer \(r\). The problem of finding balancing numbers goes back to the work of \textit{R. Finkelstein} [Am.\ Math.\ Mon.\ 72, 1082--1088 (1965; Zbl 0151.03305)].
Kovács, Tünde +2 more
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Diophantine equations concerning balancing and Lucas balancing numbers
Archiv der Mathematik, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dey, Pallab Kanti, Rout, Sudhansu Sekhar
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INCOMPLETE BALANCING AND LUCAS-BALANCING NUMBERS
2018The aim of this article is to establish some combinatorial expressions of balancing and Lucas-balancing numbers and investigate some of their properties.
Patel, Bijan Kumar +2 more
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Resonance, 2018
The article explores the application of binary and ternary number systems to three classical mathematical puzzles–weight problem of Bachet de Meziriac, binary numbers magic trick, and the detection of a counterfeit coin. The article further elucidates the generalization of these puzzles using the balanced number system.
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The article explores the application of binary and ternary number systems to three classical mathematical puzzles–weight problem of Bachet de Meziriac, binary numbers magic trick, and the detection of a counterfeit coin. The article further elucidates the generalization of these puzzles using the balanced number system.
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Balancing clinical capacity with learner numbers
The Clinical Teacher, 2019Summary Background The number of learners in clinical settings is increasing as health professions schools increase enrollment in order to develop the future workforce. Too many learners in clinics and hospital wards could create overcrowded conditions and diminish patient and learner ...
J Kyle Melvin +4 more
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Proceedings of the 2nd International Conference on Computing for Geospatial Research & Applications - COM.Geo '11, 2011
Hurricane Katrina showed Americans and the world that disasters can happen wherever there are people and clearly illustrated that being poor, old (or young), a minority, or a female puts one at greater risk to suffer negative short- and long-term impacts, with people with more than one of these characteristics having even an higher risk (Laska and ...
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Hurricane Katrina showed Americans and the world that disasters can happen wherever there are people and clearly illustrated that being poor, old (or young), a minority, or a female puts one at greater risk to suffer negative short- and long-term impacts, with people with more than one of these characteristics having even an higher risk (Laska and ...
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New Hybrid Numbers with Balancing and Lucas-Balancing Number Components
2023Nurkan, Semra +3 more
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Balancing Adsorption, Catalysis, and Desorption in Cathode Catalyst For Li–S Batteries
Advanced Energy Materials, 2023Xuan Zhang
exaly
\(t\)-balancing numbers, Pell numbers and square triangular numbers
2017Summary: Let \(t\geq 2\) be an integer. In this work we get all integer solutions of the Diophantine equation \(8r^2 + 8tr + 1 = y^2\) in order to determine the general terms of all \(t\)-balancing numbers for which \(2t^2-1\) is prime. Later we obtain some formulas for the sums of Pell, Pell-Lucas, balancing and Lucas-balancing numbers in terms of \(t\
Tekcan, Ahmet, Yazla, Aziz
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