%0 Journal Article %T Bounds on the frequency of 1 in the Kolakoski word %A Elizabeth J. Kupin %A Eric S. Rowland %J Mathematics %D 2008 %I arXiv %X We use a method of Goulden and Jackson to bound freq_1(K), the limiting frequency of 1 in the Kolakoski word K. We prove that |freq_1(K) - 1/2| <= 17/762, assuming the limit exists, and establish the semi-rigorous bound |freq_1(K) - 1/2| <= 1/46. %U http://arxiv.org/abs/0809.2776v2