erdos_357.parts.ii.bigO_version

Specification

Let $f(n)$ be the maximal $k$ such that there exist integers $1 \le a_1 < \dotsc < a_k \le n$ such that all sums of the shape $\sum_{u \le i \le v} a_i$ are distinct. How does $f(n)$ grow? Can we find a (good) explicit function $g$ such that $g = O(f)$ ?

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Lean 4 Statement

theorem erdos_357.parts.ii.bigO_version :
    (answer(sorry) : ℕ → ℝ) =O[atTop] (fun n ↦ (f n : ℝ))

ID: ErdosProblems__357__erdos_357.parts.ii.bigO_version

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