Results 31 to 40 of about 975,787 (327)

Lucas numbers of the form PX2, where P is prime

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
Let Ln denote the nth Lucas number, where n is a natural number.
Neville Robbins
doaj   +1 more source

Prehospital randomised assessment of a mechanical compression device in cardiac arrest (PaRAMeDIC) trial protocol [PDF]

open access: yes, 2010
Background Survival after out-of-hospital cardiac arrest is closely linked to the quality of CPR, but in real life, resuscitation during pre-hospital care and ambulance transport is often suboptimal.
Cooke, Matthew   +10 more
core   +5 more sources

On Bicomplex Jacobsthal-Lucas Numbers

open access: yesJournal of Mathematical Sciences and Modelling, 2020
In this study we introduced a sequence of bicomplex numbers whose coefficients are chosen from the sequence of Jacobsthal-Lucas numbers. We also present some identities about the known some fundamental identities such as the Cassini's, Catalan's and Vajda's identities.
openaire   +7 more sources

Maximal hypercubes in Fibonacci and Lucas cubes [PDF]

open access: yes, 2011
The Fibonacci cube $\Gamma_n$ is the subgraph of the hypercube induced by the binary strings that contain no two consecutive 1's. The Lucas cube $\Lambda_n$ is obtained from $\Gamma_n$ by removing vertices that start and end with 1.
Mollard, Michel
core   +1 more source

Some Applications of Fibonacci and Lucas Numbers [PDF]

open access: yes, 2021
In this paper, we provide new applications of Fibonacci and Lucas numbers. In some circumstances, we find algebraic structures on some sets defined with these numbers, we generalize Fibonacci and Lucas numbers by using an arbitrary binary relation over the real fields instead of addition of the real numbers and we give properties of the new obtained ...
Cristina Flaut   +2 more
openaire   +2 more sources

On Hybrid Hyper k-Pell, k-Pell–Lucas, and Modified k-Pell Numbers

open access: yesAxioms, 2023
Many different number systems have been the topic of research. One of the recently studied number systems is that of hybrid numbers, which are generalizations of other number systems.
Elen Viviani Pereira Spreafico   +2 more
doaj   +1 more source

Certain Diophantine equations involving balancing and Lucas-balancing numbers [PDF]

open access: yes, 2016
It is well known that if x is a balancing number, then the positive square root of 8x2 + 1 is a Lucas-balancing number. Thus, the totality of balancing number x and Lucas-balancing number y are seen to be the positive integral solutions of the ...
Ray, Prasanta Kumar
core   +2 more sources

On the l.c.m. of shifted Lucas numbers

open access: yesIndagationes Mathematicae, 2022
Let $(L_n)_{n \geq 1}$ be the sequence of Lucas numbers, defined recursively by $L_1 := 1$, $L_2 := 3$, and $L_{n + 2} := L_{n + 1} + L_n$, for every integer $n \geq 1$. We determine the asymptotic behavior of $\log \operatorname{lcm} (L_1 + s_1, L_2 + s_2, \dots, L_n + s_n)$ as $n \to +\infty$, for $(s_n)_{n \geq 1}$ a periodic sequence in $\{-1, +1\}$
openaire   +2 more sources

The restoration potential of offshore mussel farming on degraded seabed habitat

open access: yesAquaculture, Fish and Fisheries, Volume 2, Issue 6, Page 437-449, December 2022., 2022
Due to the artificial structures that accumulate mussels and exclude destructive fishing practices, the seabed could be restored by the installation of mussel farming structure. After four years, there was a significantly greater abundance of mobile taxa compared to the Controls that remained open to trawling. Commercial European lobster and brown crab
Danielle Bridger   +7 more
wiley   +1 more source

A Combinatorial Proof of a Result on Generalized Lucas Polynomials

open access: yesDemonstratio Mathematica, 2016
We give a combinatorial proof of an elementary property of generalized Lucas polynomials, inspired by [1]. These polynomials in s and t are defined by the recurrence relation 〈n〉 = s〈n-1〉+t〈n-2〉 for n ≥ 2.
Laugier Alexandre, Saikia Manjil P.
doaj   +1 more source

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