Journal of Integer Sequences, Vol. 26 (2023), Article 23.1.7

Probabilistic Proof for the Generalization of Some Well-Known Binomial Identities


Lucio Barabesi
Department of Economics and Statistics
University of Siena
Piazza San Francesco 7
53100 Siena
Italy

Abstract:

We provide probabilistic proofs for the generalized version of some celebrated identities involving binomial coefficients. The results are based on the properties of the Beta distribution.

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(Concerned with sequences A002894 A098430.)

Received October 13 2022; revised versions received October 14 2022; December 15 2022; January 13 2023. Published in Journal of Integer Sequences, January 17 2023.

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