A Bijective Proof of Shapiro's Catalan Convolution

  • Péter Hajnal
  • Gábor V. Nagy
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.
Published
2014-05-28
Article Number
P2.42