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Easily computable lower and upper bounds are found for the sum of Catalannumbers. The lower bound is proven to be tighter than the upper bound, whichpreviously was declared to be only an asymptotic. The average of these boundsis proven to be also an upper bound, and empirically it is shown that theaverage is superior to the previous upper bound by a factor greater than (9/2).

Computationally Efficient Bounds for the Sum of Catalan Numbers