Properties of Binomial Coefficients

This page gathers together some of the simpler and more common identities concerning binomial coefficients.

Sum of Squares of Binomial Coefficients
== Binomial Coefficient: $\left({-1}\right)^n \dbinom {-n} {k - 1} = \left({-1}\right)^k \dbinom {-k} {n - 1}$