A combined approach to Perrin and Padovan hybrid sequences. [PDF]
Jafari Petroudi SH +3 more
europepmc +1 more source
On Mixed 𝐵-Concatenations of Pell and Pell–Lucas Numbers which are Pell Numbers
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 +1 more
openaire +3 more sources
Can diagnostic changes caused by cone beam computed tomography alter the clinical decision in impacted lower third molar treatment plan? [PDF]
Mendonça LM +7 more
europepmc +1 more source
On the Domain of the Pell-Lucas Matrix in the Spaces c and c_0
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
Bacillus Calmette-Guérin vaccination for protection against recurrent herpes labialis: a nested randomised controlled trial. [PDF]
Pittet LF +27 more
europepmc +1 more source
Deriving Binomial Convolution Formulas for Horadam Sequences via Context-Free Grammars
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 +3 more
doaj +1 more source
Consolidation of Class Advantages in the Wake of the Great Recession: University Enrollments, Educational Opportunity and Stratification. [PDF]
Ford KS, Rosinger KO, Zhu Q.
europepmc +1 more source
Randomized Trial of BCG Vaccine to Protect against Covid-19 in Health Care Workers. [PDF]
Pittet LF +44 more
europepmc +1 more source
A Note on Generalized k-Order F&L Hybrinomials
In this study, we introduce generalized k-order Fibonacci and Lucas (F&L) polynomials that allow the derivation of well-known polynomial and integer sequences such as the sequences of k-order Pell polynomials, k-order Jacobsthal polynomials and k-order ...
Süleyman Aydınyüz +1 more
doaj +1 more source
Off-target effects of bacillus Calmette-Guérin vaccination on immune responses to SARS-CoV-2: implications for protection against severe COVID-19. [PDF]
Messina NL +10 more
europepmc +1 more source

