Results 21 to 30 of about 53,723 (156)
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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On the Reciprocal Sums of Products of Balancing and Lucas-Balancing Numbers
Mathematics, 2021 Recently Panda et al. obtained some identities for the reciprocal sums of balancing and Lucas-balancing numbers. In this paper, we derive general identities related to reciprocal sums of products of two balancing numbers, products of two Lucas-balancing ...
Younseok Choo
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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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Solutions of equations x2−(p2q2±3p)y2=±kt
Examples and Counterexamples, 2022 In the present paper, we have solved the equation x2−(p2q2±3p)y2=kt,x2−(p2q2±5p)y2=ktand expressed its positive integer solutions in terms of generalized Fibonacci, generalized Lucas and generalized Pell, generalized Pell–Lucas sequences.
Roji Bala, Vinod Mishra
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Some algebraic identities on quadra Fibona-Pell integer sequence [PDF]
, 2013 WOS: 000354627000002In this work, we define a quadra Fibona-Pell integer sequence W-n = 3W(n-1) - 3W(n-3) - Wn-4 for n >= 4 with initial values W-0 = W-1 = 0, W-2 = 1, W-3 = 3, and we derive some algebraic identities on it including its relationship with
Arzu Özkoç
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Sequences of Numbers Meet the Generalized Gegenbauer-Humbert Polynomials [PDF]
, 2011 Here we present a connection between a sequence of numbers generated by a linear recurrence relation of order 2 and sequences of the generalized Gegenbauer-Humbert polynomials.
Peter J.-S. Shiue +2 more
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On Some Properties of Bihyperbolic Numbers of The Lucas Type
Communications in Advanced Mathematical Sciences, 2023 To date, many authors in the literature have worked on special arrays in various computational systems. In this article, Lucas type bihyperbolic numbers were defined and their algebraic properties were examined. Bihyperbolic Lucas numbers were studied by
Fügen Torunbalcı Aydın
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Pell and Pell–Lucas numbers as difference of two repdigits
Afrika Matematika, 2023 to appear in Afrika ...
Edjeou, Bilizimbéyé, Faye, Bernadette
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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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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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