Definition:Pascal's Triangle/Diagonal

Definition
Consider Pascal's Triangle:

The $n$th diagonal of Pascal's triangle consists of the entries $\dbinom {n + m} m$ for $m \ge 0$:
 * $\dbinom n 0, \dbinom {n + 1} 1, \dbinom {n + 2} 2, \dbinom {n + 3} 3, \ldots$

Hence the diagonal leading down and to the right from $\dbinom 0 0$, containing all $1$s, is identified as the zeroth diagonal, or diagonal $0$.

Also see

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