id: 06106877
dt: j
an: 06106877
au: Nagy, Gábor V.
ti: A combinatorial proof of Shapiro’s Catalan convolution.
so: Adv. Appl. Math. 49, No. 3-5, 391-396 (2012).
py: 2012
pu: Elsevier Science (Academic Press), San Diego, CA
la: EN
cc: 
ut: Catalan numbers; Shapiro convolution
ci: 
li: doi:10.1016/j.aam.2012.07.002
ab: Summary: Shapiro proved an elegant convolution formula involving Catalan
    numbers of even index. This paper gives a combinatorial proof of his
    formula. In addition, we show that it is equivalent to an alternating
    convolution formula of central binomial coefficients.
rv: