Some higher-order identities for generalized bi-periodic Horadam sequences

Authors

HO-HON LEUNG
ELİF TAN

DOI

10.3906/mat-1905-62

Abstract

In this paper, we derive higher-order identities for the generalized bi-periodic Horadam sequences. Some of our results generalize the identities for the classical Fibonacci sequences and Horadam sequences obtained by Hoggatt, Horadam and Waddill. As an application, we derive some congruence properties satisfied by the generalized bi-periodic Horadam sequences.

Keywords

Horadam sequence, generalized Fibonacci sequence, generalized Lucas sequence, congruence

First Page

1687

Last Page

1700

Recommended Citation

LEUNG, HO-HON and TAN, ELİF (2020) "Some higher-order identities for generalized bi-periodic Horadam sequences," Turkish Journal of Mathematics: Vol. 44: No. 5, Article 12. https://doi.org/10.3906/mat-1905-62
Available at: https://journals.tubitak.gov.tr/math/vol44/iss5/12