Results 61 to 70 of about 17,392 (179)

Fibonacci numbers: Brief history and counting problems [PDF]

open access: yes, 2020
You undoubtedly know about Fibonacci numbers. But did you know these facts about them?
Britz, Thomas ; https://orcid.org/
core  

Skew shapes, Ehrhart positivity, and beyond

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract A classical result by Kreweras (1965) allows one to compute the number of plane partitions of a given skew shape and bounded parts as certain determinants. We prove that these determinants expand as polynomials with nonnegative coefficients.
Luis Ferroni   +2 more
wiley   +1 more source

Some conjectures concerning sums of odd powers of Fibonacci and Lucas numbers

open access: yes, 2009
This paper contains observations, conjectures and open questions concerning two finite sums that involve Fibonacci and Lucas numbers. Certain authors have become aware of the contents of this 9hitherto unpublished) manuscript and have made inroads into ...
Melham, R
core  

Sums of certain products of fibonacci & Lucas numbers-part III [PDF]

open access: yes, 2017
For the Fibonacci numbers, the summation formula σnk=1 Fk2=FnFn+1is well-known. Its charm lies in the fact that the right side is a product of terms from the Fibonacci sequence.
Melham, RS
core  

Super Fibonacci Graceful Labeling [PDF]

open access: yes, 2011
Approaching topics such as Smarandache-Fibonacci triple, graceful labeling, Fibonacci graceful labeling, super Smarandache-Fibonacci graceful graph, super Fibonacci graceful ...
Sridevi, R.   +2 more
core   +1 more source

Bernoulli F-polynomials and Fibo–Bernoulli matrices

open access: yesAdvances in Difference Equations, 2019
In this article, we define the Euler–Fibonacci numbers, polynomials and their exponential generating function. Several relations are established involving the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci polynomials. A new
Semra Kuş, Naim Tuglu, Taekyun Kim
doaj   +1 more source

Safety, Tolerability, and Pharmacokinetics of GMDTC for Cadmium Poisoning: A Randomized Phase 1a/1b Trial

open access: yesClinical Pharmacology &Therapeutics, Volume 120, Issue 1, Page 160-167, July 2026.
Cadmium exposure causes serious health consequences; however, there is no clinically approved antidote for cadmium poisoning. This Phase 1a/1b trial aimed to investigate safety, tolerability, and pharmacokinetics of Sodium (S)‐2‐(dithiocarboxylato((2S,3R,4R,5R)‐2,3,4,5,6‐pentahydroxyhexyl) amino)‐4‐(methylthio) butanoate (GMDTC), a novel chelating ...
Xuefeng Ren   +21 more
wiley   +1 more source

p-regularity of the p-adic valuation of the Fibonacci sequence [PDF]

open access: yes, 2015
peer reviewedWe show that the p-adic valuation of the sequence of Fibonacci numbers is a p-regular sequence for every prime p. For p≠2,5, we determine that the rank of this sequence is α(p)+1, where α(m) is the restricted period length of the Fibonacci ...
Rowland, Eric   +3 more
core  

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

open access: yes, 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  

Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila   +2 more
doaj   +1 more source

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