  The skew-harmonic numbers are the partial sums of the alternating harmonic
series, i.e. the expansion of log(2). We evaluate in closed form various power
series and numerical series with skew-harmonic numbers. This provides a
simultaneous solution of two recent problems by Ovidiu Furdui in the American
Mathematical Monthly and the College Mathematics Journal. We also present and
discuss representations involving the dilogarithm and the trilogaithm which are
related to our results. Finally, we provide the evaluations of several double
integrals in terms of classical constants.
