Journal of Integer Sequences, Vol. 19 (2016), Article 16.6.6

A Proof of a Famous Identity Concerning the Convolution of the Central Binomial Coefficients

Jovan Mikić
J. U. SŠC "Jovan Cvijić"
74480 Modriča
Bosnia and Herzegovina


We give an elementary proof of a famous binomial identity by using recurrence relations and telescoping. We also prove the alternating version of that identity and one of its generalizations.

Full version:  pdf,    dvi,    ps,    latex    

Received April 8 2016; revised version received June 18 2016. Published in Journal of Integer Sequences, July 6 2016.

Return to Journal of Integer Sequences home page