A modified Pade approximant is proposed for a resummation of the viral
expansion. It includes the Carnahan-Starling equation of state as a s
pecial case. The second Pade approximant is comparable in accuracy to
the Carnahan-Starling formula, the Ree-Hoover [3,3] Pade approximant,
and the computer simulation results. A generalized Carnahan-Starling f
ormula is then obtained for the equation of state for the Lennard-Jone
s fluid by using the modified Pade approximant summing the viral expan
sion. The generalized Carnahan-Starling formula is comparable with com
puter simulation results and the Song-Mason equation of state down to
the critical temperature, but its accuracy deteriorates below the crit
ical temperature.