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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 hypergeometricseries. Efficient formulas to generate the C-finite ordinary generatingfunctions are presented.

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