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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134416We 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 figuresNumber TheoryCombinatorics11B65, 05A19The 2-adic valuation of a sequence arising from a rational integraltext