Higher-order expansions for the entropy of a dimer or a monomer-dimer system on d-dimensional lattices.

Recently, an expansion as a power series in 1/d has been presented for the specific entropy of a complete dimer covering of a d-dimensional hypercubic lattice. This paper extends from 3 to 10 the number of terms known in the series. Likewise, an expansion for the entropy, dependent on the dimer density p, of a monomer-dimer system, involving a sum ∑(k)a(k)(d)p(k), has been offered recently.