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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

Background: A050447 http://oeis.org/A050447 Table T(n,m) giving total degree of n-th-order elementary symmetric polynomials in m variables, -1 <= n, 1 <= m, transposed and read by upward antidiagonals. 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 5, 1, 1, 5, 10, 14, 8, 1, 1, 6,15 A007318 http://oeis.org/A007318 Pascal’s triangleRead more