  Using Koszmider's strongly unbounded functions, we show the following
consistency result:
  Suppose that $\kappa,\lambda$ are infinite cardinals such that $\kappa^{+++}
\leq \lambda$, $\kappa^{<\kappa}=\kappa$ and $2^{\kappa}= \kappa^+$, and $\eta$
is an ordinal with $\kappa^+\leq \eta <\kappa^{++}$ and $cf(\eta) = \kappa^+$.
  Then, in some cardinal-preserving generic extension there is a superatomic
Boolean algebra $B$ such that - $ht(B) = \eta + 1$, - the cardinality of the
$\alpha$th level of $B$ is $\kappa$ for every $\alpha <\eta$, - and the
cardinality of the $\eta$th level of $B$ is $\lambda$ Especially,
$\<{\omega}\>_{{\omega}_1}\concatenation \<{\omega}_3\>$ and
$\<{\omega}_1\>_{{\omega}_2}\concatenation \<{\omega}_4\>$ can be cardinal
sequences of superatomic Boolean algebras.
