The Kolakoski sequence digit distribution conjecture
Let K=(Kn)n=1∞K=(K_n)_{n=1}^{\infty}K=(Kn)n=1∞ be the classical Kolakoski sequence on the alphabet {1,2}\{\mathtt{1},\mathtt{2}\}{1,2}, and let on=∣{i:Ki=1, 1≤i≤n}∣o_n=|\{i:K_i=\mathtt{1},\ 1\leq i\leq n\}|on=∣{i:Ki=1, 1≤i≤n}∣ be the number of…
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