A Binary Tree Representation for the 2-Adic Valuation of a Sequence Arising From a Rational Integral

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2010Embargo end date: 01 Jan 2008Publisher:Walter de Gruyter GmbHJournal:Integers, volume 10 (issn: 1867-0652,

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Authors: Xinyu Sun; Victor H. Moll;

doi: 10.1515/integ.2010.016 , 10.48550/arxiv.0808.2943

arXiv: 0808.2943

A Binary Tree Representation for the 2-Adic Valuation of a Sequence Arising From a Rational Integral

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Abstract

AbstractWe analyze properties of the 2-adic valuation of an integer sequence that originates from an explicit evaluation of a quartic integral. We present a tree that encodes this valuation.

Keywords

Other nonanalytic theory, Mathematics - Number Theory, Binomial coefficients; factorials; \(q\)-identities, binary trees, FOS: Mathematics, Mathematics - Combinatorics, definite integrals, Combinatorics (math.CO), Number Theory (math.NT), valuations

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