  We report the most sensitive search yet made for solar-like oscillations. We
observed the star alpha Cen A in Balmer-line equivalent widths over six nights
with both the 3.9m Anglo-Australian Telescope and the ESO 3.6m telescope. We
set an upper limit on oscillations of 1.4 times solar and found tentative
evidence for p-mode oscillations. We also found a power excess at low
frequencies which has the same slope and strength as the power seen from
granulation in the Sun. We therefore suggest that we have made the first
detection of temporal fluctuations due to granulation in a solar-like star.
