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arXiv · 2412.00040

A Short Proof of Knuth's Old Sum

Kunle Adegoke
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Abstract

We give a short proof of the well-known Knuth's old sum and provide some generalizations. Our approach utilizes the binomial theorem and integration formulas derived using the Beta function. Several new polynomial identities and combinatorial identities are derived.

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Kunle Adegoke. 2024-11-22. A Short Proof of Knuth's Old Sum. https://arxiv.org/abs/2412.00040

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