Bill's Triangle

This article is a stub. Help us out by expanding it. Bill's Triangle is a triangle similar to Pascal's Triangle, except each number is obtained by adding the top [i]three[/i] numbers, not just the top two. It was found by Bill9000. (If anyone finds someone who found this triangle before, please tell Bill9000.)

How to Make Bill's Triangle

As with Pascal's triangle, we start with a complete row of zeros:

Not very exciting. We actually need two rows of zeroes:

\begin{align}

0, 0, 0, 0, 0, 0 \\

0 0 0 0 0 0 0 \\ \end{align}