Filipponi, Piero; Hart, Evelyn L. The Zeckendorf decomposition of certain Fibonacci-Lucas products. (English) Zbl 0942.11012 Fibonacci Q. 36, No. 3, 240-247 (1998). The Zeckendorf decomposition of any positive integer as a sum of positive-subscripted, distinct, nonconsecutive Fibonacci numbers is always possible and unique. In this paper the Zeckendorf decomposition is established for products \(mab\), where \(m\) is a positive integer \(\leq 5\), and \(a\) and \(b\) are certain Fibonacci and/or Lucas numbers. Also products \(a^2b\) are considered. Reviewer: J.Piehler (Merseburg) Cited in 3 ReviewsCited in 2 Documents MSC: 11B39 Fibonacci and Lucas numbers and polynomials and generalizations 11A63 Radix representation; digital problems Keywords:Fibonacci-Lucas products; Zeckendorf decomposition PDFBibTeX XMLCite \textit{P. Filipponi} and \textit{E. L. Hart}, Fibonacci Q. 36, No. 3, 240--247 (1998; Zbl 0942.11012)