Special Case of Vandermonde's Identity
Special Case of Vandermonde's Identity
This Demonstration shows a special case of Vandermonde's identity: the sum of the squares of the elements in the middle row of the diamond equals the element at the bottom of the diamond. The diamond is a condensed form of Pascal's triangle. The "number of rows" slider corresponds to the number of rows displayed in the Pascal diamond, while the "path index" slider represents a possible path to get from the top element to the bottom element of the triangle, going either diagonally down left or down right each move.