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Why does McMahon formula look like the inclusion-exclusion principle?

The McMahon formula for the number of tilings of an $a \times b \times c$ hexagon by lozenges: $$ \Big[H(a)H(b)H(c)\Big] \Big[H(a+b)H(b+c)H(c+a)\Big]^{-1} \Big[H(a+b+c)\Big]$$ looks oddly like the i …
john mangual's user avatar
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