  Starting with infinitely many supercompact cardinals, we show that the tree
property at every cardinal $\aleph_n$, $1 < n <\omega$, is consistent with an
arbitrary continuum function below $\aleph_\omega$ which satisfies
$2^{\aleph_n} > \aleph_{n+1}$, $n<\omega$. Thus the tree property has no
provable effect on the continuum function below $\aleph_\omega$ except for the
restriction that the tree property at $\kappa^{++}$ implies $2^\kappa>\kappa^+$
for every infinite $\kappa$.
