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Fano resonance in one-dimensional quasiperiodic topological phononic crystals towards a stable and high-performance sensing tool. [PDF]
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Fibonacci sequence and Fibonacci metallic superlattices
SPIE Proceedings, 1994In 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
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$$\Lambda ^2$$-Fibonacci sequence spaces
Advances in Operator Theory, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naim Latif Braha +2 more
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ON A PSEUDO FIBONACCI SEQUENCE
jnanabha, 2020This 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
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Fibonacci's multiplicative sequence
International Journal of Mathematical Education in Science and Technology, 2003ESCI
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The Mathematics Teacher, 1970
The Fibonacci sequence, 1, 1, 2, 3, 5, 8, 13, …, is generated by finding the sum of two consecutive terms to obtain the next term.
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The Fibonacci sequence, 1, 1, 2, 3, 5, 8, 13, …, is generated by finding the sum of two consecutive terms to obtain the next term.
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k-Fibonacci sequences modulo m
Chaos, Solitons & Fractals, 2009We study here the period-length of the k-Fibonacci sequences taken modulo m. The period of such cyclic sequences is know as Pisano period, and the period-length is denoted by πk (m). It is proved that for every odd number k, πk (k2 + 4) = 4 (k2 + 4).
Falcon, Sergio, Plaza, Ángel
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Acceleration of extended fibonacci sequences
Applied Numerical Mathematics, 1986The authors discuss convergence acceleration of the sequence defined by \(C_ 0=1\), \(C_{n+1}=1+a/C_ n\), \(n=0,1,..\). where a is a nonzero complex number. Some results applying Aitken's \(\Delta^ 2\) process and Shank's transformation to this sequence are given. The rate of convergence is studied showing the superiority of Aitken's process.
Brezinski, C., Lembarki, A.
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Generalized Fibonacci Sequences
The Mathematics Teacher, 2000Everyone loves the Fibonacci sequence. It is easy to describe, yet it gives rise to a vast amount of substantial mathematics. Physical applications and connections with various branches of mathematics abound. What could be better, unless someone told us that the Fibonacci sequence is but one member of an infinite family of sequences that we could be ...
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