\begin{definition}[Definition:Leibniz Harmonic Triangle]
The Leibniz Harmonic Triangle is a triangular array where:
:the zeroth element in the $n$th row, counting from $0$, is $\dfrac 1 {n + 1}$
:subsequent elements in the $n$th row are the zeroth element divided by the corresponding element of Pascal's triangle:
:$\begin{array}{r|rrrrrr}
n & 0 & 1 & 2 & 3 & 4 & 5 \\
\hline
0  & \frac 1 1 \\
1  & \frac 1 2 & \frac 1 2 \\
2  & \frac 1 3 & \frac 1 6 &  \frac 1 3 \\
3  & \frac 1 4 & \frac 1 {12} & \frac 1 {12} & \frac 1 4 \\
4  & \frac 1 5 & \frac 1 {20} & \frac 1 {30} & \frac 1 {20} & \frac 1 5 \\
5  & \frac 1 6 & \frac 1 {30} & \frac 1 {60} & \frac 1 {60} & \frac 1 {30} & \frac 1 6 \\
\end{array}$
\end{definition}