eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2018-04-24 6 2 57 60 10.12691/tjant-6-2-5 TJANT2018625 article Abdallah Hammam a.hammam@fs.umi.ac.ma 1 Département de Mathématiques, Faculté des sciences, Université Moulay Ismaïl, 50020 Meknès, Morocco We investigate here the Oldenburger-Kolakoski sequence with K1=1. In the first part, we give some expressions of the discrepancy function (n) representing the difference between 2s and 1s in K1K2...Kn. 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 Kn. http://pubs.sciepub.com/tjant/6/2/5/tjant-6-2-5.pdf Kolakoski sequence recursive formula asymptotic density