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.
Published
2014-05-28
How to Cite
Hajnal, P., & Nagy, G. V. (2014). A Bijective Proof of Shapiro’s Catalan Convolution. The Electronic Journal of Combinatorics, 21(2), P2.42. https://doi.org/10.37236/3909
Issue
Volume 21, Issue 2 (2014)
Article Number
P2.42