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As the other commenter pointed out, it's just multiples of 111. You can find all sorts of patterns playing around with a calculator, I particularly like this one:

    1² = 1
    11² = 121
    111² = 12321
    1111² = 1234321
    ...
    111111111² = 12345678987654321
It works in other number bases too, and once you figure out the math it no longer seems that surprising.



> 1111² = 1234321 ...

Yes, I remember seeing that, though only up to 4 levels or so.

Right, I don't think the number base has much to do with it. These are just properties of numbers. The individual cases may vary per base, that's all.




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