Formulated New Identities of Fibonacci Numbers with James Abacus Diagram

Eman F. Mohommed

doi:10.6180/jase.202202_25(1).0017

Formulated New Identities of Fibonacci Numbers with James Abacus Diagram

Mathematics / Statistics

Eman F. Mohommed This email address is being protected from spambots. You need JavaScript enabled to view it.¹

¹Department of Mathematics, College of Education, Mustansiriyah University, Baghdad-Iraq

Received: April 27, 2021
Accepted: May 24, 2021
Publication Date: July 19, 2021

Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

Download Citation: ||https://doi.org/10.6180/jase.202202_25(1).0017

ABSTRACT

This paper focuses on developing a strategy to represent a new Fibonacci identities using James abacus. The idea of Graphical chain with respect to the beta numbers and abacus was established to count the number of ways to tile a James diagram chain inscribed in finite grid. Then, the idea of chain abacus and beta numbers were used to find new identities of Fibonacci number

Keywords: James abacus, Beta Number, Fibonacci number, Tile, Chain

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