2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169935We 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| <= 1/46.6 pages, 1 figure; added reference to Chvatal's paperCombinatorics68R15text