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Assuming that the maximal allowed number of identical particles in state isan integer parameter, q, we derive the statistical weight and analyze theassociated equation which defines the statistical distribution. The deriveddistribution covers Fermi-Dirac and Bose-Einstein ones in the particular casesq = 1 and q -> infinity (n_i/q -> 1), respectively. We show that the derivedstatistical weight provides a natural combinatorial interpretation ofHaldane-Wu fractional exclusion statistics, and present exact solutions of thedistribution equation.Comment: 8 pages, 2 eps-figure

Combinatorial interpretation of Haldane-Wu fractional exclusion statistics