We introduce a function 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 can take and reveal some interesting patterns. The article shows how standard spreadsheet functionalities make it possible to reveal quite striking patterns in data, and is intended to be used in the classroom.
Baker, John E. and Sugden, Steve
Fun with Fibonacci,
Spreadsheets in Education (eJSiE):
2, Article 1.
Available at: http://epublications.bond.edu.au/ejsie/vol7/iss2/1