**A BINOMIAL PLAY:**

Our contributor

*Raymond Rogers*has sent an alternate proof for:

$latex \displaystyle det{\bigg[ \binom{i+j+k}{i} \bigg]}_{0\leq i,j \leq n} =\binom{n+k+1}{k+1}$

This expression is identical to the one found in the post Binomial Matrix (III), but here the matrices are indexed from zero instead of one.

The proof is entitled

**A BINOMIAL DETERMINATE**,A VERY SHORT PLAY IN THREE ACTS, and it is based on Vandermonde's identity.

Thank you Raymond.

**Archives:**

[a]-120510-Binomial-Play-R.Rogers.pdf

**Links:**

[1]-Raymond Rogers, Lamm´s Equation, Confluent Hypergeometric Equations- Lamm´s Equation Blogspot