Some Conjectures Concerning Sums of odd Powers of Fibonacci and Lucas Numbers

R. S. Melham

Type: Article

Publication Date: 2008-11-01

Citations: 11

DOI: https://doi.org/10.1080/00150517.2008.12428139

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Locations

The Fibonacci quarterly - View
Open Publications Of UTS Scholars (University of Technology Sydney) - View - PDF

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Works That Cite This (14)

Action	Title	Year	Authors
+ PDF Chat	Melham's Conjecture on Odd Power Sums of Fibonacci Numbers	2016	Brian Y. Sun Matthew H. Y. Xie Arthur L. B. Yang
+ PDF Chat	Some Identities Involving Chebyshev Polynomials	2015	Xiaoxue Li
+	The power sum of balancing polynomials and their divisible properties	2023	Hong Goo Kang
+ PDF Chat	On the Sums of Powers of Chebyshev Polynomials and Their Divisible Properties	2017	Lan Zhang Wenpeng Zhang
+ PDF Chat	On the power sum problem of Lucas polynomials and its divisible property	2018	Xiao Wang
+ PDF Chat	On the Lucas polynomials and some of their new identities	2018	Zhang Jin
+ PDF Chat	The Power Sums Involving Fibonacci Polynomials and Their Applications	2019	Li Chen Xiao Wang
+	Survey of Cubic Fibonacci Identities When Cuboids Carry Weight	2022	Mariana Nagy Simon Cowell Valeriu Beiu
+	On the power sums problem of bi-periodic Fibonacci and Lucas polynomials	2024	Tingting Du Wang Li
+	Prime Factors and Divisibility of Sums of Powers of Fibonacci and Lucas Numbers	2021	Spirit Karcher Mariah Michael

Works Cited by This (4)

Action	Title	Year	Authors
+	ON MELHAM'S SUM	2009	Kiyota Ozeki
+	On Sums of Cubes of Fibonacci Numbers	1993	Stuart Clary P. D. Hemenway
+	Divisibility of an F-L Type Convolution	2004	Michael Wiemann Curtis Cooper
+	On a Sum of Melham and its Variants	2008	Helmut Prodinger