The Acta Mathematica Nitriensia is a free electronic journal published by Department of Mathematics Faculty of Natural Sciences and Informatics Constantine the Philosopher University in Nitra.

Papers & Abstracts

Acta Mathematica Nitriensia

Acta Mathematica Nitriensia
Vol. 6, No. 2, 2020


Content



Miroslav Chválny:Matematické bohatstvo Fibonacciho čísel
Full paper(Mathematical Treasure of Fibonacci Numbers)

Abstract: In this article, we discuss relationships between Pascal's triangle and the Fibonacci sequence. We point out some attributes of Fibonacci numbers, a triangular number field similar to Pascal’s triangle, which is composed form Fibonacci numbers. We derive relations for diagonal and row sums of the Hosoya’s Triangle.

Keywords: Pascal's Triangle, Fibonacci Sequence, Hosoya’s Triangle

Classification: 97A20

Pages: 1 – 17

DOI: 10.17846/AMN.2020.6.2.1-17

Full paper