Abstract
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 K1K2â¦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.
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