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

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

2007-07-14

arxiv.org/abs/0707.2119v1

Mathematics

Number Theory

16 pages, 6 figures

Scientific paper

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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