The th central binomial coefficient is defined as the coefficient of in the expansion of . The first
few are 1, 3, 7, 19, 51, 141, 393, ... (Sloane's A002426). This sequence cannot be expressed as a fixed number of
hypergeometric terms (Petkovsek et al. 1996, p. 160). The Generating Function is given by
See also Central Binomial Coefficient
References
Petkovsek, M.; Wilf, H. S.; and Zeilberger, D. A=B. Wellesley, MA: A. K. Peters, 1996.
Sloane, N. J. A. Sequence
A002426/M2673
in ``An On-Line Version of the Encyclopedia of Integer Sequences.''
http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.
The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.