Results 11 to 20 of about 3,822 (183)

ON THE SEQUENCES RELATED TO FIBONACCI AND LUCAS NUMBERS [PDF]

Journal of the Korean Mathematical Society, 2005
The sequences \(\{U_n\}_{n\geq 0}\) and \(\{V_n\}_{n\geq 0}\) are introduced by recurrence relations: \[ \begin{aligned} U_n &= (q- 2)(U_{n-2}- U_{n-4},\;n\geq 4,\\ V_n &= (q-2) V_{n-2}- V_{n-4},\;n\geq 4\end{aligned} \] with initial conditions \(U_0= 0\), \(U_1= 1\), \(U_2= 1\), \(U_4= q- 1\), \(V_0= 2\), \(V_1= 1\), \(V_2= q-1\), where \(q\geq 5\) is
openaire   +6 more sources

The eccentricity sequences of Fibonacci and Lucas cubes

Discrete Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Castro, Aline, Mollard, Michel
openaire   +4 more sources

The degree sequence of Fibonacci and Lucas cubes

Discrete Mathematics, 2011
The Fibonacci cube $\Gamma_n$ is the subgraph of the $n$-cube 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. It is proved that the number of vertices of degree $k$ in $\Gamma_n$ and $\Lambda_n$ is $\sum_{i = 0}^k \binom{n-2i}{k-i} \
Klavžar, Sandi, Mollard, Michel, Petkovšek, Marko   +2 more
openaire   +5 more sources

Global warming and obesity: External heat exposure as a modulator of energy balance. [PDF]

FASEB Bioadv
Core body temperature regulation can significantly influence metabolic processes to maintain energy balance. For example, geographic and environmental factors (global warming) can affect obesity rates and can be tracked along latitudinal boundaries.
Muhammad I, Steinberg F, Larsen J, Rucker RB.   +3 more
europepmc   +2 more sources

High-resolution X-ray scanning with a diffuse Huffman-patterned probe to reduce radiation damage. [PDF]

J Synchrotron Radiat
This paper introduces high‐resolution imaging using diffuse probes, which allow for lower energy deposition per unit area per unit time, by encoding Huffman‐like patterns onto them, enabling a tighter impulse response. The approach, demonstrated in X‐ray imaging, involves using specially fabricated masks to shape the probe and recover sharp object ...
Aminzadeh A, Kingston AM, Roberts L, Paganin DM, Petersen TC, Svalbe ID.   +5 more
europepmc   +2 more sources

Generalized Fibonacci – Like Sequence Associated with Fibonacci and Lucas Sequences [PDF]

Turkish Journal of Analysis and Number Theory, 2016
The Fibonacci sequence, Lucas numbers and their generalization have many interesting properties and applications to almost every field. Fibonacci sequence is defined by the recurrence formula Fn=Fn-1+Fn-2, , and F0=0, F1=1, where Fn is a nth number of sequence.
Yogesh Kumar Gupta, Mamta Singh, Omprakash Sikhwal   +2 more
openaire   +1 more source

Identities relating six members of the Fibonacci family of sequences

Karpatsʹkì Matematičnì Publìkacìï, 2022
In this paper, we prove several identities each relating a sum of products of three terms coming from different members of the Fibonacci family of sequences with a comparable sum whose terms come from three other sequences.
R. Frontczak, T. Goy, M. Shattuck
doaj   +1 more source

On Third-Order Bronze Fibonacci Numbers

Mathematics, 2021
In this study, we firstly obtain De Moivre-type identities for the second-order Bronze Fibonacci sequences. Next, we construct and define the third-order Bronze Fibonacci, third-order Bronze Lucas and modified third-order Bronze Fibonacci sequences. Then,
Mücahit Akbiyik, Jeta Alo
doaj   +1 more source

The GCD Sequences of the Altered Lucas Sequences

Annales Mathematicae Silesianae, 2020
In this study, we give two sequences {L+n}n≥1 and {L−n}n≥1 derived by altering the Lucas numbers with {±1, ±3}, terms of which are called as altered Lucas numbers.
Koken Fikri
doaj   +1 more source

The m-extension of Fibonacci and Lucas p-difference sequences [PDF]

Filomat, 2019
In this paper we define the m-extension of Fibonacci and Lucas p-difference sequences by using the m-extension of Fibonacci and Lucas p-numbers. We investigate some properties of our new sequences and introduce some relations between the m-extension of Fibonacci and Lucas p-difference sequences and the m-extension of Fibonacci and Lucas p ...
Köme, Cahit, Yazlık, Yasin
openaire   +2 more sources