Geodesic
A bijective proof of Shapiro's Catalan convolution
Péter Hajnal1 ; Gábor V. Nagy1
1Bolyai Institute, University of Szeged
The electronic journal of combinatorics, Tome 21 (2014) no. 2
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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.
DOI : 10.37236/3909
Classification : 05A10, 05A19
Mots-clés : Catalan numbers, Shapiro convolution, bijective proof

Péter Hajnal  1   ; Gábor V. Nagy  1

1 Bolyai Institute, University of Szeged 
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     author = {P\'eter Hajnal and G\'abor V. Nagy},
     title = {A bijective proof of {Shapiro's} {Catalan} convolution},
     journal = {The electronic journal of combinatorics},
     year = {2014},
     volume = {21},
     number = {2},
     doi = {10.37236/3909},
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Péter Hajnal; Gábor V. Nagy. A bijective proof of Shapiro's Catalan convolution. The electronic journal of combinatorics, Tome 21 (2014) no. 2. doi: 10.37236/3909

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