Articles

Power sums of Fibonacci and Lucas numbers

Published in: Quaestiones Mathematicae
Volume 34 , issue 1, pages: 75–83

DOI: 10.2989/16073606.2011.570298

Author(s): Wenchang Chu, P.R. China, NadiaN. Li, P.R China,

Keywords: Primary 11B39, Secondary 05A15, Primary 11B39, Secondary 05A15,

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Abstract

Polynomial representation formulae for power sums of the extended Fibonacci-Lucas numbers are established, which include, as special cases, four formulae for odd power sums of Melham type on Fibonacci and Lucas numbers, obtained recently by Ozeki and Prodinger (2009).

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Power sums of Fibonacci and Lucas numbers

Abstract

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