Results 91 to 100 of about 16,304 (189)

More generalized k(ε)-Fibonacci sequence, series, and its applications

AIP Advances
In this study, we present a generalized higher-order delta operator with the co-efficient of falling factorial and its inverse, both of which allow us to get more generalized k(ε)-Fibonacci sequences along with their sums, a few theorems, and some ...
Rajiniganth P, Aparna T, Ilyas Khan, Suresh K   +3 more
doaj   +1 more source

Generalized Fibonacci Sequences and Binet-Fibonacci Curves

, 2017
We have studied several generalizations of Fibonacci sequences as the sequences with arbitrary initial values, the addition of two and more Fibonacci subsequences and Fibonacci polynomials with arbitrary bases. For Fibonacci numbers with congruent indices we derived general formula in terms of generalized Fibonacci polynomials and Lucas numbers.
Özvatan, Merve, Pashaev, Oktay K.
openaire   +2 more sources

Random Fibonacci Words via Clone Schur Functions

Forum of Mathematics, Sigma
We investigate positivity and probabilistic properties arising from the Young–Fibonacci lattice $\mathbb {YF}$ , a 1-differential poset on words composed of 1’s and 2’s (Fibonacci words) and graded by the sum of the digits.
Leonid Petrov, Jeanne Scott
doaj   +1 more source

Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
The uniqueness of the sum of the elements of finite subsets of the odd oreven indexed Fibonacci and Lucas sequences are proved. Moreover, it is shownthat the odd or even indexed Fibonacci and Lucas sequences are superincreasingsequences.
Alparslan Kargın, Emre Kişi, Halim Özdemir   +2 more
doaj  

GENERALIZED FIBONACCI SEQUENCES

Demonstratio Mathematica, 1981
openaire   +2 more sources

Correction to "On the Response of Proteinoid Ensembles to Fibonacci Sequences''. [PDF]

ACS Omega
Mougkogiannis P, Adamatzky A.
europepmc   +1 more source

On the Response of Proteinoid Ensembles to Fibonacci Sequences. [PDF]

ACS Omega
Mougkogiannis P, Adamatzky A.
europepmc   +1 more source

Focusing performance of Fibonacci tiling-based zone plates. [PDF]

Sci Rep
Garmendía-Martínez A, Pérez FMM, Palacio JCC, Furlan WD, Ferrando V, Monsoriu JA.   +5 more
europepmc   +1 more source

Mode localization in chiral periodic approximants of Fibonacci magnonic superlattices. [PDF]

Sci Rep
Flores-Farías J, Contreras-Gallardo P, Brevis F, Vidal-Silva N, Landeros P, Arias R, Gallardo RA.   +6 more
europepmc   +1 more source

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