HEADERS_END

[[[> |>>

1 _

1 . 1 _

1 . 2 . 1 _

1 . 3 . 3 . 1 _

1 . 4 . 6 . 4 . 1 _

1 . 5 . 10 . 10 . 5 . 1 _

1 . 6 . 15 . 20 . 15 . 6 . 1 _

/etc/

----

Pascal's Triangle

<<| ]]]

Each number in Pascal's Triangle is the sum of the

above. The start of Pascal's Triangle is shown

containing just one 1, is row 0.

| 1 | 1 |

| 1 | 2 | 1 |

| 1 | 3 | 3 | 1 |

| 1 | 4 | 6 | 4 | 1 |

| 1 | 5 | 10 | 10 | 5 | 1 |

| 1 | 6 | 15 | 20 | 15 | 6 | 1 |

being the binomial coefficients.

The notations used for a number in Pascal's Triangle are:

*

*

where

e.g.

The formula for finding any number in Pascal's Triangle is:

*

where

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See http://mathworld.wolfram.com/PascalsTriangle.html for more information.