We study the crossover between the Coulomb blockade and proximity-induced s
uperconductivity in a small normal island connected by a tunnel junction to
a superconducting lead. Unlike the N-I-N case, the steps of the Coulomb st
aircase remain sharp even if the conductance of the tunneling barrier excee
ds e(2)/h. The crossover occurs only at a larger conductance, G* similar to
(e(2)/h) root Delta/delta, where Delta and delta are the superconducting g
ap and average level spacing in the lead and island respectively. (C) 2001
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