Fibonacci sums modulo 5
Abstract
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.
Keywords
Fibonacci number; Lucas number; Bernoulli polynomial; Chebyshev polynomial; trigonometric identity; binomial sum
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Department of Physics and Engineering Physics, Obafemi Awolowo University Nigeria
Independent Researcher, Reutlingen Germany
Faculty of Mathematics and Computer Science, Vasyl Stefanyk Precarpathian National University Ukraine
https://orcid.org/0000-0002-6212-3095
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