query: How can we compute this quantity, constructed using motivation from Vandermonde's identity?
positive_passages.docid: 156383
positive_passages.text: Proving a combinatorial identity without double counting
negative_passages.docid: 145759
negative_passages.text: formal proof from calulus
negative_passages.docid: 76892
negative_passages.text: Factoring inequalities on Double Summation (Donald Knuth's Concrete Mathematics)
negative_passages.docid: 22933
negative_passages.text: Closed-form solution for the determinant of a Vandermonde-like matrix
negative_passages.docid: 49960
negative_passages.text: Calculating Vandermonde determinant
negative_passages.docid: 23701
negative_passages.text: I have a problem understanding the proof of Rencontres numbers (Derangements)
negative_passages.docid: 107090
negative_passages.text: Motivation for/history of Jacobi's triple product identity
negative_passages.docid: 4454
negative_passages.text: What's the value of this Viète-style product involving the golden ratio?
negative_passages.docid: 45725
negative_passages.text: Derivation of an identity with beta function.
negative_passages.docid: 90904
negative_passages.text: Combinatorial proof of an identity with squared binomial coefficients
negative_passages.docid: 122786
negative_passages.text: C: The Math Behind Negatives and Remainder
negative_passages.docid: 22948
negative_passages.text: Is this binomial coefficient identity known?
negative_passages.docid: 26113
negative_passages.text: Proving the functional equation $\theta (x) = x^{-\frac{1}{2}} \theta (x^{-1})$ from the Poisson summation formula
negative_passages.docid: 58526
negative_passages.text: Proving Legendre's Formula
negative_passages.docid: 86826
negative_passages.text: Almost a Vandermonde matrix
negative_passages.docid: 109180
negative_passages.text: Deriving Sum of a Geometric Progression
negative_passages.docid: 148970
negative_passages.text: How to calculate such sums of Legendre symbols?