Near s c , the contribution of clusters with entropy density s = s c − − δ δ to the total state space is 2 N s ⏟ ⏟ size of clusters × × 2 N Σ Σ ( s ) ⏟ ⏟ number of clusters = 2 N ( s + Σ Σ ( s ) ) = 2 N ( s c − − δ δ − − Σ Σ ′ ( s c ) δ δ ) At large N , the possible entropy densities are s c , s c − − 1 / N , s c − − 2 / N , … … . The contribution of each is 2 N s c , 2 N s c 2 − − ( 1 + Σ Σ ′ ( s c ) ) , 2 N s c 2 − − 2 ( 1 + Σ Σ ′ ( s c ) ) , … …