Given a(1), ..., a(n-1), a(n) is minimal such that all terms of the sequence are distinct positive integers and, for all k>=1, the sum of the k terms from a(k) to a(2k-1) is a k-th power.

A076992

Given a(1), ..., a(n-1), a(n) is minimal such that all terms of the sequence are distinct positive integers and, for all k>=1, the sum of the k terms from a(k) to a(2k-1) is a k-th power.