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We derive and analyze the low-activity and low-density expansions of thepressure for the model of a hard-sphere gas on cubic lattices of generaldimension $d$, through the 13th order. These calculations are based on ourrecent extension to dimension d of the low-temperature expansions for thespecific free-energy of the spin-1/2 Ising models subject to a uniform magneticfield on the (hyper-)simple-cubic lattices. Estimates of the model parametersare given also for some other lattices

Ising low-temperature polynomials and hard-sphere gases on cubic lattices of general dimension