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

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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.
16 pages, 6 figures

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Number Theory, Combinatorics, 11B65, 05A19

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http://salesiana.dossiersoluciones.com/handle/123456789/134416

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.2119
 http://arxiv.org/abs/0707.2119

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arXiv