  Given any oracle, A, we construct a basic sequence Q, computable in the jump
of A, such that no A-computable real is Q-distribution-normal. A corollary to
this is that there is a Delta^0_{n+1} basic sequence with respect to which no
Delta^0_n real is distribution-normal. As a special case, there is a limit
computable sequence relative to which no computable real is
distribution-normal.
