Results 71 to 80 of about 425,108 (199)
Generalized Fibonacci Numbers and Blackwell's Renewal Theorem [PDF]
, 2010 We investigate a connection between generalized Fibonacci numbers and renewal theory for stochastic processes. Using Blackwell's renewal theorem we find an approximation to the generalized Fibonacci numbers. With the help of error estimates in the renewal theorem we figure out an explicit representation.
arxiv +1 more source
On a problem of Pillai with k-generalized Fibonacci numbers and powers of 2
, 2018 For an integer $ k\geq 2 $, let $ \{F^{(k)}_{n} \}_{n\geq 0}$ be the $ k$--generalized Fibonacci sequence which starts with $ 0, \ldots, 0, 1 $ ($ k $ terms) and each term afterwards is the sum of the $k$ preceding terms.
Ddamulira, M., Gómez, C., Luca, F.
core +1 more source
Some properties of Fibonacci numbers, Fibonacci octonions and generalized Fibonacci-Lucas octonions [PDF]
arXiv, 2015 In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these elements.
arxiv
Ecology and Evolution, Volume 15, Issue 3, March 2025.We convergently derived the evolutionary scenario for a basal lycopod species, Diphasiastrum digitatum, from genotyping data and ecological modeling. This information can better inform decisions about conservation efforts for this and related valuable lycopods. ABSTRACT Understanding the diversity and ecological evolutionary history of plant species is
Marcin Nowicki +5 more
wiley +1 more source
Fibonacci Numbers which are Products of two Pell Numbers [PDF]
The Fibonacci Quarterly, 2016, 2017 In this paper, we find all Fibonacci numbers which are products of two Pell numbers and all Pell numbers which are products of two Fibonacci numbers.
arxiv
On the Enumeration and Asymptotic Analysis of Fibonacci Compositions [PDF]
arXiv, 2021 We study Fibonacci compositions, which are compositions of natural numbers that only use Fibonacci numbers, in two different contexts. We first prove inequalities comparing the number of Fibonacci compositions to regular compositions where summands have a maximum possible value.
arxiv
The Plant Journal, Volume 121, Issue 5, March 2025.Significance Statement We showed that REM34 and REM35, cooperating with ARF7 and ARF19, regulate phyllotaxis establishment in Arabidopsis by the transcriptional control of a common set of genes and by influencing the cell cycle. This fundamental research study adds knowledge on the complex programs that drive inflorescence development, such as cell ...
Francesca Caselli +8 more
wiley +1 more source
A classification of infinite staircases for Hirzebruch surfaces
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract The ellipsoid embedding function of a symplectic manifold gives the smallest amount by which the symplectic form must be scaled in order for a standard ellipsoid of the given eccentricity to embed symplectically into the manifold. It was first computed for the standard four‐ball (or equivalently, the complex projective plane) by McDuff and ...
Nicki Magill +2 more
wiley +1 more source
Another type of generalized fibonacci series
Semina: Ciências Exatas e Tecnológicas, 2004 The Fibonacci sequence, with many applications and occurrences in nature and arts is discussed in the present work. It is considered a generalization of the Fibonacci series by the introduction of a real coefficient in the recurrence relation.
Júlio Pureza, Gil Bazanini
doaj
Fibonacci and Telephone Numbers in Extremal Trees
Discussiones Mathematicae Graph Theory, 2018 In this paper we shall show applications of the Fibonacci numbers in edge-coloured trees. In particular we determine the successive extremal graphs in the class of trees with respect to the number of (A, 2B)-edge colourings.
Bednarz Urszula, Włoch Iwona
doaj +1 more source