The numbers in the graphic below form the first five rows of Pascal's Triangle. The first row consists of a single number 1. In subsequent rows, each of which is has one more number than the previous, values are calculated by adding the two numbers above left and above right. For the first and last values in each row we just take the single value above, therefore these are always 1.

*Pascal's Triangle in its conventional centred layout*

(If you do an image search for Pascal's Triangle you will find plenty more, most frequently in a honeycomb grid, sometimes animated, but always nicer than mine. I'm a software engineer, not a graphic designer!)

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