Results 61 to 70 of about 17,392 (179)
Fibonacci numbers: Brief history and counting problems [PDF]
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
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
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 Certain authors have become aware of the contents of this 9hitherto unpublished) manuscript and have made inroads into ...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]
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]
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
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
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]
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]
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
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

