Hows about this one..........for all my French people.........

Pascal's Triangle

One of the most interesting Number Patterns is Pascal's Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher).
To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern.

Each number is the numbers directly above it added together.
(Here I have highlighted that 1+3 = 4)

Patterns Within the Triangle

Diagonals

The first diagonal is, of course, just "1"s
The next diagonal has the Counting Numbers (1,2,3, etc).
The third diagonal has the triangular numbers
(The fourth diagonal, not highlighted, has the tetrahedral numbers.)

Symmetrical

The triangle is also symmetrical. The numbers on the left side have identical matching numbers on the right side, like a mirror image.

Horizontal Sums

What do you notice about the horizontal sums?
Is there a pattern?
They double each time (powers of 2).

Exponents of 11

Each line is also the powers (exponents) of 11:

• 11⁰=1 (the first line is just a "1")
• 11¹=11 (the second line is "1" and "1")
• 11²=121 (the third line is "1", "2", "1")
• etc!