A curious binomial identity
نویسنده
چکیده
In this note we shall prove the following curious identity of sums of powers of the partial sum of binomial coefficients.
منابع مشابه
J an 2 00 4 Preprint ( 2004 - 01 - 07 ) AN EXTENSION OF A CURIOUS BINOMIAL IDENTITY
In 2002 Z. W. Sun published a curious identity involving binomial coefficients. In this paper we present the following generalization of the identity: (x + (m + 1)z) m n=0 (−1) n x + y + nz m − n y + n(z + 1) n =z 0lnm (−1) n n l x + l m − n (1 + z) n+l (1 − z) n−l + (x − m) x m .
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 131 شماره
صفحات -
تاریخ انتشار 1994