The finitely generated free algebras F-V(Lk)(n) (k greater than or equal to
2, n greater than or equal to 3) in the varieties V((L)k) of orthomodular
lattices generated by the ortholattices L-k which are horizontal sums of on
e block 2(3) and k-1 blocks 2(2) are described as abstract algebras. This i
s a continuation of earlier work and indicates the complexity one must expe
ct when describing the finitely generated free algebras in finitely generat
ed varieties of orthomodular lattices generated by ortholattices containing
Boolean blocks larger than 2(2).