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What does the notation $(\frac12)^3_n$ mean??

By Emma Johnson
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Equation 97 in introduces this notation I have never seen before:

$\left(\displaystyle\frac12\right)^3_n$

Everyone knows that 3 is an exponent, but what the heck is the $n$ doing down there???

I've tried googling this but I have no clue what to google. The source of these formulas cost $$$.

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