Results 131 to 140 of about 2,865 (225)
t-balancing numbers, Pell numbers and square triangular numbers
, 2017 Let t ≥ 2 be an integer. In this work we get all integer solutions of the Diophantine equation 8r 2 + 8tr + 1 = y 2 in order to determine the general terms of all t−balancing numbers for which 2t 2 − 1 is prime. Later we obtain some formulas for the sums
Yazla, Aziz, Tekcan, Ahmet
core
ON SOME INEQUALITIES AND HANKEL MATRICES INVOLVING PELL, PELL-LUCAS NUMBERS
, 2013 In [4], the authors defined Toeplitz and Hankel matrices with Pell numbers and gave bounds for the spectral norms of them. In this study, we define Hankel matrices involving the Pell, Pell-Lucas and modified Pell sequences and investigate some properties
Halıcı, Serpil
core
On a new family of the generalized gauss k-pell-lucas numbers and their polynomials
, 2022 In this paper, we generalize the known Gauss Pell-Lucas numbers, and call such numbers as the generalized Gauss k-Pell-Lucas numbers. We obtain relations between the family of the generalized Gauss k-Pell-Lucas numbers and the known Gauss Pell-Lucas ...
Kaya, Ahmet, Özimamoğlu, Hayrullah
core
On the Integral Representations of the $k$-Pell and $k$-Pell-Lucas Numbers
11 ...
Nilsrakoo, Achariya +1 more
openaire +3 more sources
On (k1A1, k2A2, k3A3)-Edge Colourings in Graphs and Generalized Jacobsthal Numbers
Annales Mathematicae SilesianaeIn this paper we introduce a new kind of generalized Jacobsthal numbers in a distance sense. We give the identities and matrix representations for them and their connections with the Fibonacci and the Pell numbers. We also describe the interpretations of
Piejko Krzysztof, Trojnar-Spelina Lucyna
doaj +1 more source
, 2019 In this paper, we define the adjacency-Pell sequences and then we obtain their miscellaneous properties such as the generating matrix, the Binet formula, the permanental representations, the determinantal representations, the combinatorial ...
KARADUMAN, Erdal, DEVECİ, ÖMÜR
core
Summing a family of generalized Pell numbers
, 2020 A new family of generalized Pell numbers was recently introduced and studied by Bród ([2]). These numbers possess, as Fibonacci numbers, a Binet formula.
Prodinger, Helmut
core
Some properties of sums involving pell numbers
, 2006 In this note we prove that for all positive integers n, the sum S 4n+1 of the first 4n + 1 Pell numbers is a perfect square. As a consequence, an identity involving binomial coefficients and Pell numbers is given.
Díaz-Barrero, José Luis +1 more
core
On the Gaussian modified pell numbers
, 2019 Özel sayı dizileri ve bu dizilerin genelleştirilmeleri birçok yazar tarafından incelenmiştir. Bu tezin amacı Gauss modified Pell sayı dizisini tanımlamak ve birtakım özelliklerini belirlemektir.
Karaaslan, Nusret
core
Impacted third molars and their influence on second molar pathologies: radiological patterns, statistical analysis, and emerging AI perspectives. [PDF]
Front Dent MedLuca RE +5 more
europepmc +1 more source