Results 81 to 90 of about 1,736,628 (188)

On the (s,t)-Pell and (s,t)-Pell-Lucas numbers by matrix methods [PDF]

In this paper, we investigate some generalization of Pell and Pell-Lucas numbers, which is called (s, t)-Pell and (s, t)-Pell-Lucas numbers, and we define the 2 × 2 matrix W, which satisfy the relation W = 2sW+ tI.
Srisawat, Somnuk, Sriprad, Wanna
core  

A combined approach to Perrin and Padovan hybrid sequences. [PDF]

Heliyon, 2021
Jafari Petroudi SH, Pirouz M, Karaca E, Yılmaz F.   +3 more
europepmc   +1 more source

On Mixed 𝐵-Concatenations of Pell and Pell–Lucas Numbers which are Pell Numbers

Mathematica Pannonica
Let (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, Trebješanin, Marija Bliznac   +1 more
openaire   +3 more sources

Pell and Pell-Lucas numbers as sums of three repdigits

, 2020
Same work has been study by another ...
Bhoi, Kisan, Patel, Bijan Kumar, Ray, Prasanta Kumar   +2 more
openaire   +2 more sources

On the Domain of the Pell-Lucas Matrix in the Spaces c and c_0

Dera Natung Government College Research Journal
In this study, we introduce new Banach sequence spaces $c(\Theta), c_0(\Theta)$, defined via a regular infinite matrix $ \Theta = (\lambda_{nk})$, where \[ \Theta_{nk} = \begin{cases} \dfrac{2\lambda_k}{3\lambda_n+\lambda_{n-1}} & 0 \leq k \leq n ...
Shiva Shah
doaj   +1 more source

Can diagnostic changes caused by cone beam computed tomography alter the clinical decision in impacted lower third molar treatment plan? [PDF]

Dentomaxillofac Radiol, 2021
Mendonça LM, Gaêta-Araujo H, Cruvinel PB, Tosin IW, Azenha MR, Ferraz EP, Oliveira-Santos C, Tirapelli C.   +7 more
europepmc   +1 more source

Pell and Pell-Lucas numbers with only one distinct digit [PDF]

In this paper, we show that there are no Pell or Pell-Lucas numbers larger than 10 with only one distinct ...
Luca, Florian, Faye, Bernadette
core  

$k$-Pell-Lucas numbers which are concatenations of two repdigits

, 2023
For any integer $k \geq 2$, let $\{Q_{n}^{(k)} \}_{n \geq -(k-2)}$ denote the $k$-generalized Pell-Lucas sequence which starts with $0, \dots ,2,2$($k$ terms) where each next term is the sum of the $k$ preceding terms.
Tripathy, Bibhu Prasad, Patel, Bijan Kumar   +1 more
core  

Deriving Binomial Convolution Formulas for Horadam Sequences via Context-Free Grammars

Axioms
The Horadam sequence Hn(a,b;p,q) unifies a number of well-known sequences, such as Fibonacci and Lucas sequences. We use the context-free grammars as a new tool to study Horadam sequences.
Jun-Ying Liu, Hai-Ling Li, Zhi-Hong Zhang, Tao Liu   +3 more
doaj   +1 more source

Bacillus Calmette-Guérin vaccination for protection against recurrent herpes labialis: a nested randomised controlled trial. [PDF]

EClinicalMedicine, 2023
Pittet LF, Moore CL, McDonald E, Barry S, Bonten M, Campbell J, Croda J, Dalcolmo M, Davidson A, Douglas MW, Gardiner K, Gwee A, Jardim B, Lacerda MVG, Lucas M, Lynn DJ, Manning L, de Oliveira RD, Perrett KP, Prat-Aymerich C, Richmond PC, Rocha JL, Rodriguez-Baño J, Warris A, Wood NJ, Messina NL, Curtis N, BRACE Trial Consortium Group.   +27 more
europepmc   +1 more source