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On sums of binomial coefficients and their applications |
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| Authors: | Zhi-Wei Sun |
| Institution: | Department of Mathematics, Nanjing University, Nanjing 210093, People's Republic of China |
| Abstract: | In this paper we study recurrences concerning the combinatorial sum  and the alternate sum  , where m>0, n?0 and r are integers. For example, we show that if n?m-1 then |
| Keywords: | Primary 11B65 secondary 05A19 11B37 11B68 |
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