olymmath

KöMaL 2024 C1817

    We have tossed a coin several times. The sequence of results turned out to be one head, one tail, one head, two tails, one head, three tails, and so on (each time the lengths of the contiguous segments of tails increase by one separated by a single head). Assuming this regularity, after how many tosses will the relative frequency of the heads be exactly 12023\frac{1}{2023}?

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