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Note on a Binomial Identity

✍ Scribed by Carlitz, L.


Book ID
118197555
Publisher
Society for Industrial and Applied Mathematics
Year
1975
Tongue
English
Weight
186 KB
Volume
6
Category
Article
ISSN
0036-1410

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πŸ“œ SIMILAR VOLUMES


A curious binomial identity
✍ Neil J. Calkin πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 98 KB

In this communication we shall prove a curious identity of sums of powers of the partial sum of binomial coefficients. An identity ## Theorem. C;=O (~~_o(~))3=n23"-1+23"-~2"(~). Proof. Definef,=C;=, (Ci=O(k"))3. It is sufficient to show that Write A,=C:=,(,"). Then fn=C;=oA:.

A kind of binomial identity
✍ Zhizheng Zhang πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 285 KB

The purpose of this article is to discuss the following sum:

A binomial identity related to Calkin's
✍ Zhizheng Zhang πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 140 KB

coefficients.