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2006
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14 years 19 days ago
A combinatorial identity with application to Catalan numbers
By a very simple argument, we prove that if l, m, n {0, 1, 2, . . . } then l k=0 (-1)m-k l k m - k n 2k k - 2l + m = l k=0 l k 2k n n - l m + n - 3k - l . On the basis of this ide...
Hao Pan, Zhi-Wei Sun