\[a_{m,s}\left(q\right)=\frac{q^{-\genfrac{(}{)}{0.0pt}{}{s}{2}}(1-q)^{s}}{\left%
(q;q\right)_{s}}\sum_{j=0}^{s}(-1)^{j}q^{\genfrac{(}{)}{0.0pt}{}{j}{2}}%
\genfrac{[}{]}{0.0pt}{}{s}{j}_{q}\frac{(1-q^{s-j})^{m}}{(1-q)^{m}}.\]