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单词 Central Trinomial Coefficient
释义

Central Trinomial Coefficient

The th central binomial coefficient is defined as the coefficient of in the expansion of . The firstfew are 1, 3, 7, 19, 51, 141, 393, ... (Sloane's A002426). This sequence cannot be expressed as a fixed number ofhypergeometric 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. SequenceA002426/M2673in ``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.


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