The 2-adic valuation of a sequence arising from a rational integral
Number Theory
2007-07-17 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.0707.2119,
title = {The 2-adic valuation of a sequence arising from a rational integral},
author = {Tewodros Amdeberhan and Dante Manna and Victor H. Moll},
journal= {arXiv preprint arXiv:0707.2119},
year = {2007}
}
Comments
16 pages, 6 figures