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arXiv · 0707.2119

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

Tewodros Amdeberhan·Dante Manna·Victor H. Moll
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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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Tewodros Amdeberhan, Dante Manna, Victor H. Moll. 2007-07-14. The 2-adic valuation of a sequence arising from a rational integral. https://arxiv.org/abs/0707.2119

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