The paper proves Knuth's old sum in two lines and derives a v-parameter generalization with many corollary identities.
Lim, A note on a generalization of Riordan combinatorial identity via a hypergeometric series approach, Notes on Number Theory and Discrete Mathematics 29 :3 (2023), 421--425
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A Short Proof of Knuth's Old Sum
The paper proves Knuth's old sum in two lines and derives a v-parameter generalization with many corollary identities.