$i+j-1$ tokens on row $i$ column $j$ of square grid

Picture for $n=6$:

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Take a horizontal cut at the height of $n$ tokens. The tokens above the cut are all in the bottom right corner. Flip this shape over and it will fit snugly into the top left corner to form an $n\times n\times n$ cube of tokens.

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Combinatorics

Discrete Mathematics

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