Skip navigation
Skip navigation
Open Research will be down for maintenance between 8:00am and 8:15am on Monday, 9th December 2019.

Generalizing tuenter's binomial sums

Brent, Richard


Uenter considered centered binomial sums of the form ()  where r and n are non-negative integers. We consider sums of the form which are a generalization of Tuenter’s sums and may be interpreted as moments of a symmetric Bernoulli random walk with n steps. The form of Ur (n) depends on the parities of both r and n. In fact, Ur (n) is the product of a polynomial (depending on the parities of r and n) times a power of two or a binomial coefficient. In all cases the polynomials can be expressed in...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
Source: Journal of Integer Sequences


File Description SizeFormat Image
01_Brent_Generalizing_tuenter%27s_2015.pdf115.72 kBAdobe PDFThumbnail

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  22 January 2019/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator