<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

Data publikacji: 07 cze 2024

Zakres stron: -

Otrzymano: 01 gru 2023

Przyjęty: 10 maj 2024

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

Słowa kluczowe
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

Data publikacji: 07 cze 2024

Zakres stron: -

Otrzymano: 01 gru 2023

Przyjęty: 10 maj 2024

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

Słowa kluczoweFibonacci 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.

Słowa kluczowe
Fibonacci number, Lucas number, Bernoulli polynomial, Chebyshev polynomial, trigonometric identity, binomial sum