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We present a new method for obtaining the statistical weight of the GentileStatistics. In a recent paper, Perez and Tun presented an ap- proximatecombinatoric and an exact recursive formula for the statistical weight ofGentile Statistics, beginning from bosonic and fermionic cases, respectively[1]. In this paper, we obtain two exact, one combinatoric and one recursive,formulae for the statistical weight of Gentile Statistics, by an anotherapproach. The combinatoric formula is valid only for special cases, whereasrecursive formula is valid for all possible cases. Moreover, for a givenq-maximum number of particles that can occupy a level for Gentilestatistics-the recursive formula we have derived gives the result much fasterthan the recursive formula presented in [1], when one uses a computer program.Moreover we obtained the statistical weight for the distribution proposed byDai and Xie in Ref. [2]. Keywords: Fractional statistics, Gentile distribution,Statistical Weight

A New Method for Derivation of Statistical Weight of the Gentile Statistics