Number Theory


A New Formula for the Sum of the Sixth Powers of Fibonacci Numbers

Authors: Hideyuki Ohtsuka, Shigeru Nakamura

Sloane's On-Line Encyclopedia of Integer Sequences incorrectly states a lengthy formula for the sum of the sixth powers of the first n Fibonacci numbers. In this paper we prove a more succinct formulation. We also provide an analogue for the Lucas numbers. Finally, we prove a divisibility result for the sum of certain even powers of the first n Fibonacci numbers.

Comments: 3 Pages, Published: Congressus Numerantum, Proceedings of the Thirteenth Conference on Fibonacci Numbers and their Applications, Vol. 201, pp.297-300 (2010).

Download: PDF

Submission history

[v1] 9 Oct 2009

Unique-IP document downloads: 954 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus