Results 11 to 20 of about 702 (172)
On a new class of the generalized Gauss k-Pell numbers and their polynomials
Notes on Number Theory and Discrete Mathematics, 2022 In this article, we generalize the well-known Gauss Pell numbers and refer to them as generalized Gauss k-Pell numbers. There are relationships discovered between the class of generalized Gauss k-Pell numbers and the typical Gauss Pell numbers. Also, we generalize the known Gauss Pell polynomials, and call such polynomials as the generalized Gauss k ...
Kaya, Ahmet, Özimamoğlu, Hayrullah
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On the x–coordinates of Pell equations which are k–generalized Fibonacci numbers
Journal of Number Theory, 2020 36 ...
Ddamulira, Mahadi, Luca, Florian
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Fibonacci–Lucas–Pell–Jacobsthal relations [PDF]
, 2022 In this paper, we prove several identities involving linear combinations of convolutions of the generalized Fibonacci and Lucas sequences. Our results apply more generally to broader classes of second-order linearly recurrent sequences with constant ...
Goy, Taras +2 more
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On generalized order-k modified Pell and Pell–Lucas numbers in terms of Fibonacci and Lucas numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2020 https://doi.org/10.7546/nntdm.2020.26.2.205-212http://nntdm.net/papers/nntdm-26/NNTDM-26-2-205-212.pdfhttps://dx.doi.org/10.7546/nntdm.2020.26.2.205 ...
Dasdemir, A, Daşdemir, Ahmet
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, 2023 In this paper, generalized Pell graphs $Pi_{n,k}$, $kge 2$, are introduced. The special case of $k=2$ are the Pell graphs $Pi_{n}$ defined earlier by Munarini. Several metric, enumerative, and structural properties of these graphs are established.
Tan, Elif +2 more
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On some new arithmetic properties of the generalized Lucas sequences [PDF]
, 2021 Some arithmetic properties of the generalized Lucas sequences are studied, extending a number of recent results obtained for Fibonacci, Lucas, Pell, and Pell–Lucas sequences.
Andrica, Dorin, Bagdasar, Ovidiu
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On perfect powers in k-generalized pell sequence [PDF]
, 2022 Let k 2 and let (P(k) n )n>2-k be the k-generalized Pell sequence defined byP(k) n = 2P(k) n-1 + P(kn-2) + ... + P(k) n-kfor n 2 with initial conditionsP(k) -(k-2)= P(k-(k) -3)= ...
Keskin, Refik +2 more
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On Pell and Pell-Lucas Generalized Octonions
, 2021 In this study, we gave a generalization on Pell and Pell-Lucas octonions over the algebra $\mathbb{O}(a,b,c)$ where $a,b$ and $c$ are real numbers. For these number sequences, we obtain Binet formulas and gave some well-known identities such as Catalan's
Ümit TOKEŞER +7 more
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Primality tests, linear recurrent sequences and the Pell equation [PDF]
, 2022 We study new primality tests based on linear recurrent sequences of degree two exploiting a matrix approach. The classical Lucas test arises as a particular case and we see how it can be easily improved.
Di Scala, Antonio +7 more
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Pell-Padovan generalized quaternions
, 2021 The aim of this article is to introduce Pell-Padovan generalized quaternions. It also derives new properties associated with these and takes into account negative indices. Additionally, it presents generating function, Binet-like formula, Simson formula,
Isbilir, Zehra, Gurses, Nurten
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