  In a recent work, Dancs and He found new `Euler-type' formulas for
$\,\ln{2}\,$ and $\,\zeta{(2\,n+1)}$, $\,n\,$ being a positive integer, each
containing a series that apparently can not be evaluated in closed form,
distinctly from $\,\zeta{(2\,n)}$, for which the Euler's formula allows us to
write it as a rational multiple of $\,\pi^{2n}$. There in that work, however,
the formulas are derived through certain series manipulations, by following
Tsumura's strategy, which makes it \emph{curious} --- in the words of those
authors themselves --- the appearance of the numbers $\,\ln{2}\,$ and
$\,\zeta{(2\,n+1)}$. In this short paper, I show how some known zeta-series can
be used to derive the Dancs-He series in an alternative manner.
