Results 111 to 120 of about 2,057 (213)

Determinants of Toeplitz–Hessenberg Matrices with Generalized Leonardo Number Entries

Annales Mathematicae Silesianae
Let un = un(k) denote the generalized Leonardo number defined recursively by un = un−1 + un−2 + k for n ≥ 2, where u0 = u1 = 1. Terms of the sequence un(1) are referred to simply as Leonardo numbers.
Goy Taras, Shattuck Mark
doaj   +1 more source

ABC Implies There are Infinitely Many non-Fibonacci-Wieferich Primes - An Application of ABC Conjecture over Number Fields

, 2015
Wayne Peng
openalex   +2 more sources

Fibonacci Sums Modulo 5

Annales Mathematicae Silesianae
We develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred from some trigonometric identities.
Adegoke Kunle, Frontczak Robert, Goy Taras   +2 more
doaj   +1 more source

Some equalities and binomial sums about the generalized Fibonacci number $u_n$ [PDF]

, 2022
Yücel Türker Ulutaş, Derya Toy
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The role of spreadsheets in an investigation of Fibonacci Numbers

Spreadsheets in Education, 2014
We introduce a function Z(k) which measures the number of distinct ways in which a number can be expressed as the sum of Fibonacci numbers. Using a binary table and other devices, we explore the values that Z(k) can take and reveal a surprising ...
John E Baker, Steve Sugden
doaj  

The Fibonacci Number of a Grid Graph and a New Class of Integer Sequences [PDF]

, 2005
Reinhardt Euler
openalex  

Continuous symmetry and chirality measures: approximate algorithms for large molecular structures. [PDF]

J Cheminform, 2023
Alon G, Ben-Haim Y, Tuvi-Arad I.
europepmc   +1 more source

Simulating the Hadamard gate in the Fibonacci disk code for universal topological quantum computation. [PDF]

Innovation (Camb), 2023
Wu YS.
europepmc   +1 more source

A fast Fibonacci wavelet-based numerical algorithm for the solution of HIV-infected CD4+T cells model. [PDF]

Eur Phys J Plus, 2023
Vivek, Kumar M, Mishra SN.
europepmc   +1 more source

Fibonacci index and stability number of graphs: a polyhedral study [PDF]

, 2009
Véronique Bruyère, Hadrien Mélot
openalex   +1 more source