Results 41 to 50 of about 53,723 (156)
We show that the only Pell numbers which are factoriangular are 2,5 and 12.
Luca, Florian +2 more
openaire +2 more sources
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
A note on Pell-Padovan numbers and their connection with Fibonacci numbers
In this paper, we find new relations involving the Pell-Padovan sequence which arise as determinants of certain families of Toeplitz-Hessenberg matrices. These determinant formulas may be rewritten as identities involving sums of products of Pell-Padovan
T.P. Goy, S.V. Sharyn
doaj +1 more source
When are Multiples of Polygonal Numbers again Polygonal Numbers?
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
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
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
In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila +2 more
doaj +1 more source
On Pillai’s problem with Pell numbers and powers of 2 [PDF]
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
Temperature‐dependent shear behavior and constitutive model of the rock–concrete interface
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
Balancing numbers : some identities [PDF]
This paper studies a problem in the theory of figurate numbers identifying and investigating those numbers which are polygonal in two ways - triangular and square.
Parida, Kaberi
core

