Geodesic
A proof of a famous identity concerning the convolution of the central binomial coefficients
Journal of integer sequences, Tome 19 (2016) no. 6
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.
Keywords: central binomial coefficient, recurrence equation, telescoping, auxiliary sum 
@article{JIS_2016__19_6_a6,
     author = {Miki\'c,  Jovan},
     title = {A proof of a famous identity concerning the convolution of the central binomial coefficients},
     journal = {Journal of integer sequences},
     year = {2016},
     volume = {19},
     number = {6},
     zbl = {1343.05015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_6_a6/}
}
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Mikić,  Jovan. A proof of a famous identity concerning the convolution of the central binomial coefficients. Journal of integer sequences, Tome 19 (2016) no. 6. http://geodesic.mathdoc.fr/item/JIS_2016__19_6_a6/