  We consider the integrable dilute Temperley-Lieb (dTL) O($n=1$) loop model on
a semi-infinite strip of finite width $L$. In the analogy with the
Temperley-Lieb (TL) O($n=1$) loop model the ground state eigenvector of the
transfer matrix is studied by means of a set of $q$-difference equations,
sometimes called the $q$KZ equations. We compute some ground state components
of the transfer matrix of the dTL model, and show that all ground state
components can be recovered for arbitrary $L$ using the $q$KZ equation and
certain recurrence relation. The computations are done for generic open
boundary conditions.
