Skip to content
Research Article Open access CC BY 4.0

On Summing Formulas for Horadam Numbers

Y¨ uksel Soykan

Asian Journal of Advanced Research and Reports · pp. 45–61 · Published 27 Jan 2020

10.9734/ajarr/2020/v8i130192

Abstract

In this paper, closed forms of the summation formulas for generalized Fibonacci numbers are presented. As special cases, we give summation formulas of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas numbers.

Fibonacci numbers Lucas numbers Pell numbers Jacobsthal numbers sum formulas summing formulas.

Cited by 13

On the three parameter family of the generalized k-Horadam sequences

K. Prasad, M. Kumari, Ritanjali Mohanty · Annali dell?Università di Ferrara · 2026

Properties Of 2-Fibonacci Sequence

Vipin Verma, Priyanka · Journal of Physics, Conference Series · 2022

A Study on Sum Formulas of Generalized Hexanacci Numbers: Closed Forms of the Sum Formulas ∑n k=0 xkWk and ∑nk=1 xkW−k

Y. Soykan · 2021

A Study on Generalized Tetranacci Numbers: Closed Form Formulas ∑n k=0 xkWk2 of Sums of the Squares of Terms

Y. Soykan · 2020

On Sum Formulas for Generalized Tribonacci Sequence

Y. Soykan · 2020

On the Sums of Squares of Generalized Tribonacci Numbers: Closed Formulas of Σn k=0 xkW2

Y. Soykan · Archives of Current Research International · 2020

Closed Formulas for the Sums of Squares of Generalized Fibonacci Numbers

Y. Soykan · 2020

Generalized Fibonacci Numbers: Sum Formulas

Y. Soykan · Journal of Advances in Mathematics and Computer Science · 2020

A Study on Sum Formulas of Generalized Tetranacci Numbers: Closed Forms of the Sum Formulas ∑n

Y. Soykan · 2021

Sum Formulas of Generalized Pentanacci Numbers : Closed Forms of the Sum Formulas ∑ n k = 0 kW k and ∑ n k = 1 kW − k

Y. Soykan · 2021

Related research

Article metrics

Real usage data collected on this platform.

0

Page views

0

PDF downloads

0

Outbound clicks

13

Citations

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

No views recorded yet.

Traffic sources

Referring site, by host.

No traffic recorded yet.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.