  A new series representation of the Madelung constant is given. We represent
Madelung constant as a sum of an exact term plus an exponentially fast
converging series. The remarkable result is that even if the series part is
discarded, one obtains Madelung constant correct up to ten good decimal
figures. This, to the best of our knowledge, may be the fastest converging
series representation of the Madelung constant. A few other important
identities are also obtained.
