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Partial Sums of the Fibonacci Sequence

The Fibonacci quarterly, 2021
Let $(F_n)_{n\ge 1}$ be the Fibonacci sequence. Define $P(F_n): = (\sum_{i=1}^n F_i)_{n\ge 1}$; that is, the function $P$ gives the sequence of partial sums of $(F_n)$. In this paper, we first give an identity involving $P^k(F_n)$, which is the resulting
H. Chu
semanticscholar   +1 more source

A-CAFDSP: An Adaptive-Congestion Aware Fibonacci Sequence based Data Scheduling Policy

Computer Communications, 2020
In today’s modern era, the multi-path communication paradigm is becoming prominent in supporting multi-media applications due to its dazzling features of improved network’s resilience, reliability, and performance.
V. Sharma   +4 more
semanticscholar   +1 more source

Transmittance spectrum in a one-dimensional photonic crystal with Fibonacci sequence superconductor–semiconductor

, 2020
In this work, we use the transfer matrix method to calculate the transmittance spectrum in a quasi-periodic one-dimensional photonic crystal (1D-PC) consisting of superconducting materials (HgBa 2 Ca 2 Cu 3 O 8 + δ ) and semiconductor (GaAs).
F. Segovia-Chaves   +3 more
semanticscholar   +1 more source

On the zero-multiplicity of the k-generalized Fibonacci sequence

, 2020
The k-generalized Fibonacci sequence is the linear recurrent sequence of order k, whose first k terms are and each term afterwards is the sum of the preceding k terms.
Jonathan García, C. A. Gómez, F. Luca
semanticscholar   +1 more source

Fibonacci sequence and Fibonacci metallic superlattices

SPIE Proceedings, 1994
In this paper, we review the research work in our group concerning the multi-component Fibonacci Sequence, Fibonacci metallic superlattices, as well as their structures, physical properties and applications.
A. Hu, Shusheng Jiang, Duan Feng
openaire   +1 more source

On the Fibonacci and the Generalized Fibonacci Sequence

Journal of Nepal Mathematical Society
Fibonacci numbers and their sequence are found abundantly in nature. There is a close relation among the Golden, Fibonacci, and Lucas ratios. Such ratios are inherent to design, architecture, construction, and even to the beauty of different natural and ...
I. Adhikari
semanticscholar   +1 more source

Acoustic Wave Propagation in a Quasi-Periodic Waveguide System Based on the Symmetric Fibonacci Sequence

2024 4th International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET)
In this article, we have examined the propagation of acoustic waves at normal incidence in a quasi-periodic 1D Fibonacci-type structure in comparison with a periodic system.
Ilyas Antraoui, A. Khettabi
semanticscholar   +1 more source

$$\Lambda ^2$$-Fibonacci sequence spaces

Advances in Operator Theory, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naim Latif Braha   +2 more
openaire   +1 more source

ON A PSEUDO FIBONACCI SEQUENCE

jnanabha, 2020
This article deals with a pseudo Fibonacci sequence and its properties. Some well known identities are obtained in terms of the identities of generalised Fibonacci sequence. Modular properties different from those of Fibonacci sequence are reported.
Phadte, C. N.   +2 more
openaire   +2 more sources

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