(a) Do you mean a "closed" formula? (b) Why do you want a "closed" formula? What is the motivation? – 2012-11-03
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A closed-form expression would be the best case scenario. However, I'd be interested in any techniques for expressing this series in terms of better known ones. I have no real motivation aside from curiosity. – 2012-11-03
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Usually, finite sums count as closed form. – 2016-12-28