Difference between revisions of "Bill's Triangle"
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==How to Make Bill's Triangle== | ==How to Make Bill's Triangle== | ||
| − | As with Pascal's triangle, we start with a complete row of zeros: | + | As with Pascal's triangle, we start with a complete row of zeros. However, in Bill's Triangle, we need another row: |
| − | <cmath>0 0 0 0 0 0</cmath> | + | <cmath>0, 0, 0, 0, 0, 0</cmath> |
| − | + | <cmath>0, 0, 0, 0, 0, 0, 0</cmath> | |
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| − | 0 | ||
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Revision as of 14:50, 6 August 2017
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. However, in Bill's Triangle, we need another row:
![\[0, 0, 0, 0, 0, 0\]](http://latex.artofproblemsolving.com/3/2/f/32f4a5018e734c307e880b431b7e52e49f317ab0.png)
![\[0, 0, 0, 0, 0, 0, 0\]](http://latex.artofproblemsolving.com/2/b/0/2b0c5970555ab37c04b266e91ea0b83fe45f9777.png)
