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Fibonacci Sums Modulo 5

open access: yesAnnales 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   +2 more
doaj   +1 more source

The role of spreadsheets in an investigation of Fibonacci Numbers

open access: yesSpreadsheets 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  

2-Fibonacci polynomials in the family of Fibonacci numbers [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2018
Ali Aydoğdu   +2 more
openaire   +1 more source

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