The coefficients of a Fibonacci power series

2004/09/22 by Federico Ardila
Mathematics · #math.CO #math.NT #msc:05A17 #msc:11B39 #msc:11P81

paper · pdf

published as Fibonacci Quarterly, 42 (2003), 202-204 · 4 pages

arxiv created 2004/09/22 · arxiv updated 2009/12/01

Abstract

We give a short proof of the result that all the coefficients of the series (1-x)(1-x²)(1-x³)(1-x⁵)(1-x⁸)(1-x¹3)(1-x²1)... are equal to -1, 0, or 1, and most of them are equal to 0.

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