Results 61 to 70 of about 55,776 (203)
On $X$-coordinates of Pell equations which are repdigits
, 2017 Let $b\ge 2$ be a given integer. In this paper, we show that there only finitely many positive integers $d$ which are not squares, such that the Pell equation $X^2-dY^2=1$ has two positive integer solutions $(X,Y)$ with the property that their $X ...
Faye, Bernadette, Luca, Florian
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Intersections of Pell, Pell-Lucas Numbers and Sums of Two Jacobsthal Numbers
, 2023 Ahmed Gaber
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Repdigits as Products of Consecutive Pell or Pell–Lucas Numbers
Iranian Journal of Mathematical Sciences and InformaticsSummary: A positive integer is called a repdigit if it has only one distinct digit in its decimal expansion. In this paper, we find all repdigits that are products of consecutive Pell or Pell-Lucas numbers. This paper continues previous work which dealt with finding occurrences of repdigits in the Pell and Pell-Lucas sequences.
Bravo, Eric F., Bravo, Jhon J.
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On the x-coordinates of Pell equations that are sums of two Padovan numbers [PDF]
, 2021 Mahadi Ddamulira
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Generalized Pell-Padovan Numbers
Asian Journal of Advanced Research and Reports, 2020 In this paper, we investigate the generalized Pell-Padovan sequences and we deal with, in detail, four special cases, namely, Pell-Padovan, Pell-Perrin, third order Fibonacci-Pell and third order Lucas-Pell sequences. We present Binet’s formulas, generating functions, Simson formulas and the summation formulas for these sequences.
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Matrix Sequences of Third-Order Pell and Third-Order Pell -Lucas Numbers
, 2020 Yüksel Soykan
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$k$-Pell-Lucas numbers which are concatenations of two repdigits [PDF]
, 2023 Bibhu Prasad Tripathy, Bijan Kumar Patel
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On Y-coordinates of Pell equations which are Fibonacci numbers [PDF]
, 2023 Florian Luca, Faith Shadow Zottor
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