  Ever since the pioneer works of Bekenstein and Hawking, black hole entropy
has been known to have a quantum origin. Furthermore, it has long been argued
by Bekenstein that entropy should be quantized in discrete (equidistant) steps
given its identification with horizon area in (semi-)classical general
relativity and the properties of area as an adiabatic invariant. This lead to
the suggestion that black hole area should also be quantized in equidistant
steps to account for the discrete black hole entropy. Here we shall show that
loop quantum gravity, in which area is {\it not} quantized in equidistant steps
can nevertheless be consistent with Bekenstein's equidistant entropy proposal
in a subtle way. For that we perform a detailed analysis of the number of
microstates compatible with a given area and show consistency with the
Bekenstein framework when an oscillatory behavior in the entropy-area relation
is properly interpreted.
