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Generalizing tuenter's binomial sums

Brent, Richard

Description

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
URI: http://hdl.handle.net/1885/153122
Source: Journal of Integer Sequences

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