This is plot from a high row (100 or so) of a different number triangle, the Trinomial Number Triangle. Although it has two symmetrical sides, seems to be highly random data.

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But is produced by a simple equation, which gives the same result ever, is not random.

Click image for larger version. 

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If large amounts of seemingly random data can be compressed in the form of simple equations, then we would have an extremely high lossless compression.

http://mathworld.wolfram.com/EulersNumberTriangle.html

I'm just giving an idea to be exploited, not seen anyone talk about it yet.