A Bijective Proof of Shapiro's Catalan Convolution Péter Hajnal Gábor V. Nagy DOI: https://doi.org/10.37236/3909 Keywords: Catalan numbers, Shapiro convolution, bijective proof Abstract We present a bijective proof of Shapiro's convolution formula involving Catalan numbers of even index. As a corollary, we give a new interpretation of the Catalan numbers. PDF Published 2014-05-28 Issue Volume 21, Issue 2 (2014) Article Number P2.42