  We report the results of a first search for a doubly-charged $DDK$ bound
state, denoted the $R^{++}$, in $\Upsilon(1S)$ and $\Upsilon(2S)$ inclusive
decays and via direct production in $e^+e^-$ collisions at $\sqrt{s}$ = 10.520,
10.580, and 10.867 GeV. The search uses data accumulated with the Belle
detector at the KEKB asymmetric-energy $e^+e^-$ collider. No significant
signals are observed in the $D^{+}D_{s}^{*+}$ invariant-mass spectra of all
studied modes. The 90\% credibility level upper limits on their product
branching fractions in $\Upsilon(1S)$ and $\Upsilon(2S)$ inclusive decays
(${\cal B}(\Upsilon(1S,2S) \to R^{++} + anything) \times {\cal B}(R^{++} \to
D^{+} D_{s}^{*+})$), and the product values of Born cross section and branching
fraction in $e^+e^-$ collisions ($\sigma(e^+e^- \to R^{++} + anything) \times
{\cal B}(R^{++} \to D^{+} D_{s}^{*+})$) at $\sqrt{s}$ = 10.520, 10.580, and
10.867 GeV under different assumptions of $R^{++}$ masses varying from 4.13 to
4.17 GeV/$c^2$, and widths varying from 0 to 5 MeV are obtained.
