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We derive a compact determinant formula for calculating and factorizing thehypersum polynomials S^{(L)}_k(N) \equiv \sum_{n_1=1}^N...\sum_{n_{L+1}=1}^{n_{L}}(n_{L+1})^k expressed in the variable N(N+L+1)

Factorization of and Determinant Expressions for the Hypersums of Powers of Integers