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).
[v1] 9 Oct 2009
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