Abstract
† This work was supported, in part, by the Natural Sciences and Engineering Research Council of Canada under Grant A‐73S3. Starting from an elementary summation formula involving binomial coefficients, D. Sullivan and J. C. F. Sullivan [1] derived the sums of a number of interesting series involving binomial and factorial coefficients. The object of this paper is to present a systematic analysis of these and numerous other analogous sums which are shown to be simple consequences of a well‐known result in the theory of the familiar hypergeometric series.
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