Asymptotic Expansions of Central Binomial Coefficients and Catalan Numbers
Faculty of Electrical Engineering and Computing
University of Zagreb
We give a systematic view of the asymptotic expansion of two well-known
sequences, the central binomial coefficients and the Catalan numbers.
The main point is explanation of the nature of the best shift in
variable n, in order to obtain "nice" asymptotic expansions.
We also give
a complete asymptotic expansion of partial sums of these sequences.
Full version: pdf,
(Concerned with sequences
Received March 21 2013; revised versions received June 6 2013; October 14 2013; November 26 2013. Published in Journal of Integer Sequences,
January 3 2014.
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