For real nonzero k, put \[ S_m (k) = \frac{1}{2}\sum _{n = 0}^\infty {\alpha _n^{ - m - 2} } ,\qquad T_m (k) = \frac{1}{2}\sum _{n = 0}^\infty {\beta _n^{ - 2m - 2} } ,\] where $\alpha _n $ runs through the nonzero roots of $\tan \alpha = k\alpha $ and $\beta _n $ runs through the roots of $k\cot \beta + \beta = 0$. Liron [2, pp. 105–107] showed that $S_m (k) = (k - 1)^{ - m - 1} P_{m + 1} (k)$, where $P_{m + 1} (k)$ is a polynomial in k of degree $m + 1$. He showed also that $T_m (k)$ is a polynomial in k of degree $m + 1$. In the present paper it is shown that the coefficients of $P_{m + 1} (k)$ and $T_m (k)$ can be expressed simply in terms of tangent coefficients of higher order.