The 2-adic valuation of a sequence arising from a rational integral

2007/07/14 by Tewodros Amdeberhan, Amdeberhan, Tewodros, Dante Manna +3
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #advanced mathematical theories #math.CO #math.NT #msc:05A19 #msc:11B65

paper · pdf · doi:10.48550/arxiv.0707.2119

16 pages, 6 figures

arxiv created 2007/07/14 · arxiv updated 2009/12/01

Abstract

We analyze properties of the 2-adic valuations of an integer sequence that originates from an explicit evaluation of a quartic integral. We also give a combinatorial interpretation of the valuations of this sequence. Connections with the orbits arising from the Collatz (3x+1) problem are discussed.

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