The Zeckendorf-Wythoff Array Applied to Counting the Number of Representations of N as Sums of Distinct Fibonacci Numbers

Marjorie Bicknell-Johnson

A chapter in Applications of Fibonacci Numbers, 1999, pp 53-60 from Springer

Abstract: Abstract Let R(N) be the number of representations of the non-negative integer N as a sum of distinct Fibonacci numbers. The Zeckendorf representation of N is the unique representation of N as the sum of distinct Fibonacci numbers, using no two consecutive Fibonacci numbers. Recursive relationships for computing R(N) from the Zeckendorf representation of N appear in

Keywords: 11B39; 11B37; 11Y55 (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-94-011-4271-7_6

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