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.

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