Results 21 to 30 of about 90,394 (222)
Crafting a Class: The Trade Off Between Merit Scholarships and Enrolling Lower-Income Students [PDF]
, 2005 [Excerpt] It is well-known that test scores are correlated with students’ socio-economic backgrounds. Hence to the extent that colleges are successful in “buying” higher test score students, one should expect that their enrollment of students from ...
Ehrenberg, Ronald G +2 more
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On Pell, Pell-Lucas, and balancing numbers [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we derive some identities on Pell, Pell-Lucas, and balancing numbers and the relationships between them. We also deduce some formulas on the sums, divisibility properties, perfect squares, Pythagorean triples involving these numbers. Moreover, we obtain the set of positive integer solutions of some specific Pell equations in terms of the
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Markov Triples with Generalized Pell Numbers
Mathematics, 2023 For an integer k≥2, let (Pn(k))n be the k-generalized Pell sequence which starts with 0,…,0,1 (k terms), and each term afterwards is given by Pn(k)=2Pn−1(k)+Pn−2(k)+⋯+Pn−k(k). In this paper, we determine all solutions of the Markov equation x2+y2+z2=3xyz,
Julieth F. Ruiz +2 more
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Pell numbers whose Euler function is a Pell number
Publications de l'Institut Mathematique, 2017 We show that the only Pell numbers whose Euler function is also a Pell number are 1 and 2.
Faye, Bernadette, Luca, Florian
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Diophantine equations for additive Pell numbers in Pell, Pell–Lucas, and Modified Pell numbers [PDF]
Notes on Number Theory and Discrete MathematicsThis paper investigates the Diophantine equations arising from ternary additive problems of Pell, Pell-Lucas, and Modified Pell numbers. Specifically, we characterize all integer solutions to the equation Pₙ+Pₘ+Pᵣ=Xₖ, X∈{P,Q,R}, where Pᵢ, Qᵢ, and Rᵢ ...
Ahmet Emin, Ahmet Daşdemir
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Some results on one type of graph family with some special number sequences
AKCE International Journal of Graphs and Combinatorics, 2020 In this study, we introduce a new graph family. Then, we calculate eigenvalues of the adjacency and the Laplacian matrix of this graph family. Moreover, we show that the perfect matching number of this graph family equals to special second order ...
Emrullah Kirklar +2 more
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The Complex-Type k-Pell Numbers and Their Applications
Journal of Mathematics, 2023 In this study, a new sequence called the complex-type k-Pell number is defined. Also, we give properties of this sequence such as the generating matrix, the generating function, the combinatorial representations, the exponential representation, the sums,
Yeşim Aküzüm
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Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers
Journal of Advanced Research in Natural and Applied Sciences, 2023 In this study, we define a new type of Pell and Pell-Lucas numbers which are called Gaussian-bihyperbolic Pell and Pell-Lucas numbers. We also define negaGaussian-bihyperbolic Pell and Pell-Lucas numbers. Moreover, we obtain Binet’s formulas, generating function formulas, d’Ocagne’s identities, Catalan’s identities, Cassini’s identities and some sum ...
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The complex-type Pell p-numbers [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we define the complex-type Pell p-numbers and give the generating matrix of these defined numbers. Then, we produce the combinatorial representation, the generating function, the exponential representation and the sums of the complex-type ...
Yeşim Aküzüm +2 more
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A Family of the Zeckendorf Theorem Related Identities [PDF]
, 2015 In this paper we present a family of identities for recursive sequences arising from a second order recurrence relation, that gives instances of Zeckendorf representation.
Martinjak, Ivica
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