<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Fibonacci Sums Modulo 5

Department of Physics and Engineering Physics

Faculty of Mathematics and Computer Science

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Fibonacci Sums Modulo 5"}

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...

Fibonacci Sums Modulo 5

Publié en ligne: 07 juin 2024

Pages: -

Reçu: 01 déc. 2023

Accepté: 10 mai 2024

DOI: https://doi.org/10.2478/amsil-2024-0015

Mots clés
Fibonacci number, Lucas number, Bernoulli polynomial, Chebyshev polynomial, trigonometric identity, binomial sum

© 2024 Kunle Adegoke et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fibonacci Sums Modulo 5

Publié en ligne: 07 juin 2024

Pages: -

Reçu: 01 déc. 2023

Accepté: 10 mai 2024

DOI: https://doi.org/10.2478/amsil-2024-0015

Mots clésFibonacci number, Lucas number, Bernoulli polynomial, Chebyshev polynomial, trigonometric identity, binomial sum

© 2024 Kunle Adegoke et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Mots clés
Fibonacci number, Lucas number, Bernoulli polynomial, Chebyshev polynomial, trigonometric identity, binomial sum