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arxiv: 0707.2119 · v1 · submitted 2007-07-14 · 🧮 math.NT · math.CO

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

classification 🧮 math.NT math.CO
keywords sequenceadicarisingintegralvaluationsanalyzecollatzcombinatorial
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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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