Explain?
https://pbs.twimg.com/media/CWIlo1JWIAAlPVE.png

Question

mathmale · Answer

Truly fascinating table.  Who is supposed to "explain" what?

ganeshie8 · Answer

That is pretty patterny !

mathmale · Answer

You could do something as simple as verbalize what you see happening in this table, or you could go deep into number theory to explain how it happens that we get these beautiful results.

xapproachesinfinity · Answer

saw this one before, that's pretty cool pattern

ganeshie8 · Answer

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ganeshie8 · Answer

It might help to notice that left hand side can be expressed as : 
$$\left(\sum\limits_{i=1}^n i10^{n-i}\right)\times 8~~+~n $$

nnesha · Answer

ganeshie8 ganeshie8 ganeshie8 ganeshie8^n

ganeshie8 · Answer

Next, observe that right hand side becomes a repunit  $R_{n+1}$  on adding $123\ldots n+1$ :

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