Results 41 to 50 of about 90,394 (222)
On Pillai’s problem with Pell numbers and powers of 2 [PDF]
, 2019 In this paper, we find all integers c having at least two representations as a difference between a Pell number and a power of ...
Hernane, M. +3 more
core +1 more source
On Mixed 𝐵-Concatenations of Pell and Pell–Lucas Numbers which are Pell Numbers
Mathematica PannonicaLet (𝑃𝑛)𝑛≥0 and (𝑄𝑛)𝑛≥0 be the Pell and Pell–Lucas sequences. Let 𝑏 be a positive integer such that 𝑏 ≥ 2. In this paper, we prove that the following two Diophantine equations 𝑃𝑛 = 𝑏𝑑𝑃𝑚 + 𝑄𝑘 and 𝑃𝑛 = 𝑏𝑑𝑄𝑚 + 𝑃𝑘 with 𝑑, the number of digits of 𝑃𝑘 or 𝑄𝑘 in base 𝑏, have only finitely many solutions in nonnegative integers (𝑚, 𝑛, 𝑘, 𝑏, 𝑑).
Adédji, Kouéssi Norbert +1 more
openaire +2 more sources
Publications de l'Institut Mathematique, 2019 We show that the only Pell numbers which are factoriangular are 2,5 and 12.
Luca, Florian +2 more
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Anatomical Sciences Education, EarlyView.Abstract Engaging students and fostering interactions can be a challenge in large enrollment, foundational‐level, undergraduate anatomy classes. Despite the active learning environment of the anatomy laboratory, students often struggle to find study partners or even speak to fellow learners in a large classroom.
Kristin Stover +2 more
wiley +1 more source
When are Multiples of Polygonal Numbers again Polygonal Numbers?
, 2018 Euler showed that there are infinitely many triangular numbers that are three times other triangular numbers. In general, it is an easy consequence of the Pell equation that for a given square-free m > 1, the relation P=mP' is satisfied by infinitely ...
Chahal, Jasbir S. +2 more
core +1 more source
International Journal of Engineering & Technology, 2018 Gaussian numbers means representation as Complex numbers. In this work, Gaussian Pell numbers are defined from recurrence relation of Pell numbers. Here the recurrence relation on Gaussian Pell number is represented in two dimensional approach. This provides an extension of Pell numbers into the complex plane.
P. Balamurugan, A. Gnanam
openaire +2 more sources
Business Strategy and the Environment, EarlyView.ABSTRACT This study addresses a significant research gap in the literature by systematically reviewing and synthesizing the interplay between social dynamics, environmental changes, and organizational innovation. Although prior research has explored these dimensions in isolation, the integrative framework remains lacking.
Gagan Deep Sharma +4 more
wiley +1 more source
Temperature‐dependent shear behavior and constitutive model of the rock–concrete interface
Deep Underground Science and Engineering, EarlyView.Shear tests were conducted to investigate the temperature‐dependent shear behavior of the rock–concrete interface, highlighting the interaction between the surrounding rock and the lining during tunnel fires. Under experimental conditions, concrete exhibited greater temperature sensitivity than rock, with the shear fracture surface transitioning from ...
Hongbin Chen +6 more
wiley +1 more source
On some new results for the generalised Lucas sequences
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper we introduce the functions which count the number of generalized Lucas and Pell-Lucas sequence terms not exceeding a given value x and, under certain conditions, we derive exact formulae (Theorems 3 and 4) and establish asymptotic limits ...
Andrica Dorin +2 more
doaj +1 more source
International Journal of Cancer, EarlyView.Evidence suggests a potential association between mental health conditions and cancer risk, yet previous studies were limited by small samples and the use of self‐reported measures. Using data from the UK Biobank's large‐scale prospective population cohort over a median follow‐up of 13.4 years, this analysis demonstrates associations between depression,
Mohammed Sherif Amin +8 more
wiley +1 more source