On an Alternating Double Sum of a Triple Product of Aerated Binomial Coefficients
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2023
- DOI:
- arXiv:
- arXiv:2306.08022
- Bibcode:
- 2023arXiv230608022M
- Keywords:
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- Mathematics - General Mathematics;
- 05A10;
- 05A19 (Primary);
- 33C90 (Secondary)
- E-Print:
- 12 pages, no figures