2010-6 Identity on Binomial Coefficients

Prove that \(\displaystyle \sum_{m=0}^n \sum_{i=0}^m \binom{n}{m} \binom{m}{i}^3=\sum_{m=0}^n \binom{2m}{m} \binom{n}{m}^2\).

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2010-6 Identity on Binomial Coefficients, 4.9 out of 5 based on 9 ratings

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4 thoughts on “2010-6 Identity on Binomial Coefficients”

JSG April 3, 2010 at 4:21 pm

어렵네
bongs April 14, 2010 at 5:34 pm

조합적증명입니다.
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bongs April 14, 2010 at 5:35 pm

조합적증명입니다.
http://b0ngs.egloos.com/2901980
bongs April 14, 2010 at 5:36 pm

조합적증명입니다.
http://b0ngs.egloos.com/2901980

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