On an Alternating Double Sum of a Triple Product of Aerated Binomial Coefficients

Richard J. Mathar

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arXiv · 2306.08022

On an Alternating Double Sum of a Triple Product of Aerated Binomial Coefficients

Richard J. Mathar

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Abstract

The double sum sum_(j=0)^m sum_(i=0)^j (-1)^(j-i) C(m,j) C(j,i) C(j+k+qi,j+k) with free nonnegative integer parameters k and q is rewritten as hypergeometric series. Efficient formulas to generate the C-finite ordinary generating functions are presented.

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Richard J. Mathar. 2023-06-13. On an Alternating Double Sum of a Triple Product of Aerated Binomial Coefficients. https://arxiv.org/abs/2306.08022

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