The Double Chooz Experiment presents an indication of reactor electron antineutrino disappearance consistent with neutrino oscillations. A ratio of 0.944 $pm$ 0.016 (stat) $pm$ 0.040 (syst) observed to predicted events was obtained in 101 days of running at the Chooz Nuclear Power Plant in France, with two 4.25 GW$_{th}$ reactors. The results were obtained from a single 10 m$^3$ fiducial volume detector located 1050 m from the two reactor cores. The reactor antineutrino flux prediction used the Bugey4 measurement as an anchor point. The deficit can be interpreted as an indication of a non-zero value of the still unmeasured neutrino mixing parameter sang. Analyzing both the rate of the prompt positrons and their energy spectrum we find sang = 0.086 $pm$ 0.041 (stat) $pm$ 0.030 (syst), or, at 90% CL, 0.015 $<$ sang $ <$ 0.16.