We present several generating functions for sequences involving the central binomial coefficients and the harmonic numbers. In particular, we obtain the generating functions for the sequences
![$\binom{2n}{n} H_{n} $](img1.gif)
,
![$\binom{2n}{n} \frac{1}{n} H_{n} $](img2.gif)
,
![$\binom{2n}{n} \frac{1}{n+1} H_{n} $](img3.gif)
, and
![$\binom{2n}{n} n^{m} $](img4.gif)
.
The technique is based on a special Euler type series rasformation formula.