The discussion centers on the expression of the product of binomial coefficients, specifically ##{n\choose k}{n\choose r}##, in a form that does not feature 'n' as the upper index. Participants reference a resource from Columbia University that may provide insights into alternative representations of this binomial expression. The need for a definitive transformation or equivalent form is emphasized, indicating a gap in readily available information on this topic.
PREREQUISITESMathematicians, students of combinatorics, and anyone interested in advanced algebraic expressions and their transformations.
eddybob123 said:Is there a way to express ##{n\choose k}{n\choose r}## in another form without n as the "top" of the binomial coefficient? I remember seeing it once but I forgot what it was.