✦ LIBER ✦

A Binomial Identity Arising from a Sorting Problem

✍ Scribed by L. Carlitz

Book ID: 124930231
Publisher: Society for Industrial and Applied Mathematics
Year: 1964
Tongue: English
Weight: 238 KB
Volume: 6
Category: Article
ISSN: 0036-1445
DOI: 10.2307/2027510

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Problem 60-2, On a Binomial Identity Ari

Problem 60-2, On a Binomial Identity Arising from a Sorting Problem

✍ Paul Brock 📂 Article 📅 1960 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 79 KB

Problem 72-22, A Binomial Expansion Iden

Problem 72-22, A Binomial Expansion Identity

✍ Barry Wolk 📂 Article 📅 1972 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 144 KB

A Binomial Identity

✍ L. Carlitz 📂 Article 📅 1967 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 209 KB

A curious binomial identity

✍ Neil J. Calkin 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 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:.

An identity for the divisor generating f

An identity for the divisor generating function arising from sorting theory

✍ Keisuke Uchimura 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 133 KB

An Identity Arising in a Problem of Conf

An Identity Arising in a Problem of Conformal Mapping

✍ Richardson, S. 📂 Article 📅 1989 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 204 KB