id: 05900194
dt: j
an: 2011c.00457
au: Koshy, Thomas
ti: Catalan sums.
so: J. Recreat. Math. 35(2006), No. 4, 305-308 (2010).
py: 2010
pu: Baywood, Amityville, NY
la: EN
cc: F60 K20 A20
ut: recreational mathematics; Catalan numbers; number theory; binomial
    coefficients; recurrence relations; Catalan congruence
ci: 
li: 
ab: From the text: The ubiquity and beauty of Catalan numbers, and their
    applications to such diverse areas as abstract algebra, combinatorics,
    computer science, linear algebra, and number theory, have generated a
    lot of interest in both mathematicians and intellectually
    curious-minded students. There is a formula for the $n$th Catalan
    number, and Catalan numbers satisfy a certain recurrence relation. The
    first ten Catalan numbers are 1, 1, 2, 5, 14, 42, 132, 429, 1430, and
    4862. In this article, we develop three summation formulas involving
    Catalan numbers and deduce a fascinating result from one of them.
rv: