From DRMF

$a|b}$ $A_{j}=\frac{f(\alpha_{j})}{\prod\limits_{k\not=j}% (\alpha_{j}-\alpha_{k})}}$ $2n!!}$ $\sum_{n=0}^{\infty}\frac{1}{n}+1+n=n}$ $\genfrac{(}{)}{0.0pt}{}{n}{0}+\genfrac{(}{)}{0.0pt% }{}{n}{2}+\genfrac{(}{)}{0.0pt}{}{n}{4}+\dots+\genfrac{(}{)}{0.0pt}{}{n}{\ell}% =2^{n-1},}$ $\mathrm{Ai}'\left(0\right)}$

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