  Voiculescu's random matrix model for freeness is extended to the non-Gaussian
case and also the case of constant block diagonal matrices. Thus we are able to
investigate free products of free group factors with matrix algebras and with
the hyperfinite II$_1$ factor, showing that $$ L(F_n) * R = L(F_(n+1)) $$ for
$n \ge 1$, (where $L(F_1)=L(Z)$).
