  We discuss the conditions under which an anomaly occurs in conductance and
localization length of Anderson model on a lattice. Using the ladder
hamiltonian and analytical calculation of average conductance we find the set
of resonance conditions which complements the $\pi$-coupling rule for
anomalies. We identify those anomalies that might vanish due to the symmetry of
the lattice or the distribution of the disorder. In terms of the dispersion
relation it is known from strictly one-dimensional model that the lowest order
(i.e., the most strong) anomalies satisfy the equation $E(k)=E(3k)$. We show
that the anomalies of the generalized model studied here are also the solutions
of the same equation with modified dispersion relation.
