Number Theory

0910 Submissions

[2] viXra:0910.0021 [pdf] replaced on 30 May 2009


Comments: 2 Pages

removed 0910.0021
Category: Number Theory

[1] viXra:0910.0012 [pdf] submitted on 9 Oct 2009

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

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

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.
Category: Number Theory