On Summing Formulas for Horadam Numbers
Y¨ uksel Soykan, Y¨üksel Soykan
Asian Journal of Advanced Research and Reports · pp. 45–61 · Published 27 Jan 2020
10.9734/ajarr/2020/v8i130192Abstract
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.
References (9)
- 1 A Generalized Fibonacci Sequence [DOI]
- 2 Pell and Pell–Lucas Numbers with Applications [DOI]
- 3 Generating functions for powers of a certain generalised sequence of numbers [DOI]
- 4 Summing Formulas for Generalized Tribonacci Numbers [DOI]
- 5 On Summing Formulas For Generalized Fibonacci and Gaussian Generalized Fibonacci Numbers [DOI]
- 6 Sums of Tribonacci and Tribonacci-Lucas numbers [DOI]
- 7 Summation Formulas for Generalized Tetranacci Numbers [DOI]
- 8 Linear Summing Formulas of Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers [DOI]
- 9 On Summing Formulas of Generalized Hexanacci and Gaussian Generalized Hexanacci Numbers [DOI]
Cited by 13
Yüksel Soykan · Journal of Advances in Mathematics and Computer Science · 2020
K. Prasad, M. Kumari, Ritanjali Mohanty · Annali dell?Università di Ferrara · 2026
Vipin Verma, Priyanka · Journal of Physics, Conference Series · 2022
Y. Soykan · 2021
Y. Soykan · 2020
Y. Soykan · 2020
Y. Soykan · Archives of Current Research International · 2020
Y. Soykan · 2021
Y. Soykan · 2021
Related research
- Closed Formulas for the Sums of Cubes of Generalized Fibonacci Numbers: Closed Formulas of Σn k=0W3 Σ k and n k=1W3 — shares topic coverage
- Some Properties of Generalized Fibonacci Numbers: Identities, Recurrence Properties and Closed Forms of the Sum Formulas ∑nk=0 xkWmk+j — shares topic coverage
- Closed Formulas for the Sums of Squares of Generalized Fibonacci Numbers — shares topic coverage
- A Study on the Sums of Squares of Generalized Fibonacci Numbers: Closed Forms of the Sum Formulas Σn k=0 kxkW2 k and Σn k=1 kxkW2- k — shares topic coverage
- On Summing Formulas for Generalized Fibonacci and Gaussian Generalized Fibonacci Numbers — shares topic coverage
Article metrics
Real usage data collected on this platform.
154
Page views
0
PDF downloads
64
Outbound clicks
13
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
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.