  Let $I\supsetneq J$ be two squarefree monomial ideals of a polynomial algebra
over a field. Suppose that $I$ is generated by one squarefree monomial of
degree $ d>0$, and other squarefree monomials of degrees $\geq d+1$. If the
Stanley depth of $I/J$ is $\leq d+1$ then almost always the usual depth of
$I/J$ is $\leq d+1$ too.
