@article{tjant2018625,
author={Hammam, Abdallah},
title={A Necessary Condition for the Existence of the Asymptotic Density in Kolakoski Sequence},
journal={Turkish Journal of Analysis and Number Theory},
volume={6},
number={2},
pages={57--60},
year={2018},
url={http://pubs.sciepub.com/tjant/6/2/5},
issn={2333-1232},
abstract={We investigate here the Oldenburger-Kolakoski sequence <img src=image/abs1.png></img> with <i>K</i><SUB>1</SUB>=1. In the first part, we give some expressions of the discrepancy function &#948;(<i>n</i>) representing the difference between 2<i>s</i><i> </i>and 1<i>s</i> in <i>K</i><SUB>1</SUB><i>K</i><SUB>2</SUB>бн<i>K</i><SUB>n</SUB>. The discrepancy could be interpreted as a perturbation of a certain equilibrium. Our main result is a necessary and sufficient condition for the existence of the asymptotic density. In the last section, we present an algorithm to generate the sequence terms and a formula for the term <i>K</i><SUB><i>n</i></SUB>.},
doi={10.12691/tjant-6-2-5}
publisher={Science and Education Publishing}
}