Abstract
Low-temperature series for the Ising model show a marked lattice dependence and a recent analysis by Guttmann (1969) has revealed a pattern of spurious singularities which are sensitive to the coordination number of the lattice. The present paper attempts a configurational analysis of these series. Taking account of Cayley tree configurations with proper volume exclusion, it is found that good approximations are obtained for all the singularities in zero magnetic field. The form of the singularities in a nonzero field is also discussed.