The role of spreadsheets in an investigation of Fibonacci numbers

Baker, John & Sugden, Stephen John (2013) The role of spreadsheets in an investigation of Fibonacci numbers. Spreadsheets in Education, 7(2).

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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 relationship between the values of Z(k) and the Fibonacci numbers from which they were derived. The article shows the way in which standard spreadsheet functionalities makes it possible to reveal quite striking patterns in data.

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31 since deposited on 01 May 2014
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ID Code: 70857
Item Type: Journal Article
Refereed: Yes
ISSN: 1448-6156
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2013 [Please consult the author]
Deposited On: 01 May 2014 23:11
Last Modified: 06 May 2014 04:12

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