Results 1 to 10 of about 55,776 (203)
Pell and Pell-Lucas numbers as difference of two repdigits [PDF]
Afrika Matematika, 2023 to appear in Afrika ...
Bilizimbéyé Edjeou, Bernadette Faye
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On Generalized Pell and Pell–Lucas Numbers [PDF]
Iranian Journal of Science and Technology, Transactions A: Science, 2019 In this paper, we introduce and study a new one-parameter generalization of Pell numbers. We describe their distinct properties also related to matrix representation.
Lucyna Trojnar-Spelina, Iwona Włoch
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On the intersections of Fibonacci, Pell, and Lucas numbers [PDF]
, 2010 We describe how to compute the intersection of two Lucas sequences of the forms $\{U_n(P,\pm 1) \}_{n=0}^{\infty}$ or $\{V_n(P,\pm 1) \}_{n=0}^{\infty}$ with $P\in\mathbb{Z}$ that includes sequences of Fibonacci, Pell, Lucas, and Lucas-Pell numbers.
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Non-Newtonian Pell and Pell-Lucas numbers
Journal of New Results in ScienceIn the present paper, we introduce a new type of Pell and Pell-Lucas numbers in terms of non-Newtonian calculus, which we call non-Newtonian Pell and non-Newtonian Pell-Lucas numbers, respectively. In non-Newtonian calculus, we study some significant identities and formulas for classical Pell and Pell-Lucas numbers.
Tülay Yağmur
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Convolutions of the generalized Pell and Pell-Lucas numbers
Filomat, 2016 We consider the convolution of the generalized Pell numbers-P(s) n,m and the convolution of the generalized Pell-Lucas numbers-Q(s) n,m. For s = 0, the sequence P(0) n,m represents the generalized Pell numbers Pn;m, and the sequence Q(0) n,m represents the generalized Pell-Lucas numbers Qn,m ([1], [2]). For m = 2 and s = 0, the numbers P(0)
Gospava B. Djordjević
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A NOTE ON BIGAUSSIAN PELL AND PELL-LUCAS NUMBERS
Journal of Science and Arts, 2021 In this study, we define a new type of Pell and Pell-Lucas numbers which are called biGaussian Pell and biGaussian Pell-Lucas numbers. We also give the relationship between negabiGaussian Pell and Pell-Lucas numbers and bicomplex Pell and Pell-Lucas numbers.
Hasan Gökbaş
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Some properties of bicomplex Pell and Pell-Lucas numbers
Journal of Information and Optimization Sciences, 2020 In this work, we investigated bicomplex Pell and Pell-Lucas numbers. We defined generating function and various identities involving both bicomplex Pell and Pell-Lucas numbers.
Karatas, Adnan, Halici, Serpil
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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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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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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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