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Image Encryption Using Quantum 3D Mobius Scrambling and 3D Hyper-Chaotic Henon Map. [PDF]

Entropy (Basel), 2023
Wang L, Ran Q, Ding J.
europepmc +1 more source

Closed forms for certain fibonacci type sums that involve second order products [PDF]

, 2017
In this paper, we present closed forms for certain finite sums in which the summand is a product of generalized Fibonacci numbers. We present our results in the form of six theorems that feature a generalized Fibonacci sequence {Wn}, and an accompanying ...
Melham, RS
core

A Combinatorial Approach to $r$-Fibonacci Numbers [PDF]

, 2012
In this paper we explore generalized “$r$-Fibonacci Numbers” using a combinatorial “tiling” interpretation. This approach allows us to provide simple, intuitive proofs to several identities involving $r$-Fibonacci Numbers presented by F.T.
Heberle, Curtis
core +1 more source

Generalized Fibonacci and Lucas numbers of the form kx2 [PDF]

, 2015
06.03.2018 tarihli ve 30352 sayılı Resmi Gazetede yayımlanan “Yükseköğretim Kanunu İle Bazı Kanun Ve Kanun Hükmünde Kararnamelerde Değişiklik Yapılması Hakkında Kanun” ile 18.06.2018 tarihli “Lisansüstü Tezlerin Elektronik Ortamda Toplanması ...
Karaatlı, Olcay
core

On Concatenations of Two $ k $-Generalized Fibonacci Numbers [PDF]

Let $ k \geq 2 $ be an integer. The $ k- $generalized Fibonacci sequence is a sequence defined by the recurrence relation $ F_{n}^{(k)}=F_{n-1}^{(k)} + \cdots + F_{n-k}^{(k)}$ for all $ n \geq 2$ with the initial values $ F_{i}^{(k)}=0 $ for $ i=2-k ...
Altassan, Alaa, Alan, Murat
core +1 more source

Hidden time-patterns in cyclic human movements: a matter of temporal Fibonacci sequence generation and harmonization. [PDF]

Front Hum Neurosci
Verrelli CM, Caprioli L, Iosa M.
europepmc +1 more source

Phyllotaxis without symmetry: what can we learn from flower heads? [PDF]