Background: https://oeis.org/A075308 (Number of n-digit perfect powers) Symmetric polynomials, the consecutive terms (1,6,15) in OEIS A050447, and the root-system of $ E_8$ Questions: Question I: In the empirical biomolecular problem on which my team is working, we have a theoretically crucial subset whose cardinality of 40 arises naturally and crucially as the sum of theRead more