Results 31 to 40 of about 975,787 (327)
Lucas numbers of the form PX2, where P is prime
Let Ln denote the nth Lucas number, where n is a natural number.
Neville Robbins
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Prehospital randomised assessment of a mechanical compression device in cardiac arrest (PaRAMeDIC) trial protocol [PDF]
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
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]
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
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Some Applications of Fibonacci and Lucas Numbers [PDF]
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
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On Hybrid Hyper k-Pell, k-Pell–Lucas, and Modified k-Pell Numbers
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
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Certain Diophantine equations involving balancing and Lucas-balancing numbers [PDF]
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
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 $\{-1, +1\}$
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The restoration potential of offshore mussel farming on degraded seabed habitat
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
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.
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