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AN INTEGRAL REPRESENTATION OF THE PELL NUMBERS AND THE PELL-LUCAS NUMBERS
Journal of Science Natural ScienceWe report on an integral representation for the Pell sequence, Pell-Lucas sequence, Balancing sequence and Lucas-Balancing sequence. This integral representation is based on the generating function and the Binet-like formulas of the aforementioned sequences.
null Luu Ba Thang, null Nguyen Duc Sang
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Common Factors of Pell and Pell-Lucas numbers
2021Progress in Applied Science and Technology, 11, 1, 7 ...
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The Binet Formulas for the Pell and Pell-Lucas p-Numbers.
Ars Comb., 2007In this paper, we define the Pell and Pell-Lucas p-numbers and derive the analytical formulas for these numbers. These formulas are similar to Bin et's formula for the classical Pell numbers.
Kocer, E. Gokcen, Tuglu, Naim
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On The Properties Of New Families Of Pell And Pell-Lucas Numbers.
Ars Comb., 2014In this paper, new families of Pell and Pell-Lucas numbers are introduced. In addition, we present the recurrence relations and the generating functions of the new families for k = 2.
Gokkaya, Havva, Uslu, Kemal
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A Problem of Diophantus and Pell Numbers
1998Several Diophantine quadruples in terms of Pell numbers are constructed using general construction of Diophantine quadruples with property D(l^2).
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Integral representations of the Pell and Pell-Lucas numbers
Journal of Science and Science Education, 7, 2, 272 ...openaire +1 more source
k-Pell Numbers as Product of Two Repdigits
Mediterranean Journal of Mathematics, 2022Salah Eddine Rihane, Rihane Salah Eddine
exaly
Inverse tangent series involving pell and pell-lucas polynomials
Mathematica Slovaca, 2022Dongwei Guo, Wenchang Chu
exaly