Christmas Stocking Identity

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top of stocking
length of stocking
The sum of the numbers on the green leg is the number in the red foot. The colored dots look like a Christmas stocking, which is where this identity gets its name.

External Links

Christmas Stocking Theorem (Wolfram MathWorld)
Pascal's Triangle (Wolfram MathWorld)
Binomial Coefficient (Wolfram MathWorld)

Permanent Citation

Michael Schreiber
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​"Christmas Stocking Identity"​
​http://demonstrations.wolfram.com/ChristmasStockingIdentity/​
​Wolfram Demonstrations Project​
​Published: September 28, 2007