Definition:Pascal's Triangle/Lesser Diagonal

Definition
Consider Pascal's Triangle:

The $n$th lesser diagonal of Pascal's triangle consists of the entries $\dbinom {n - m} m$ for $m \ge 0$, leading up and to the right from the entry in row $n$ and column $0$:
 * $\dbinom n 0, \dbinom {n - 1} 1, \dbinom {n - 2} 2, \dbinom {n - 3} 3, \ldots$

Also known as
The lesser diagonals are also known as the shallow diagonals, arising from the common depiction of Pascal's triangle in its symmetrical form:


 * [[File:PascalsTriangle.gif]]

Also see

 * Definition:Row of Pascal's Triangle
 * Definition:Column of Pascal's Triangle
 * Definition:Diagonal of Pascal's Triangle