Our approach to computing numerical values of these sums involves the compound application of the Euler-Maclaurin summation formula (see [2, p. 289,]), which can be stated as follows. Suppose has at least 2p + 2 continuous derivatives on . Let D be the differentiation operator, let denote the k-th Bernoulli number, and let denote the k-th Bernoulli polynomial. Then

where the remainder is given [2, p. 289,] by

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