Clebsch-Gordan coefficients corresponding to the tensor product of the natural representation V([1, 0, . . ., 0]) of gl(n|n) with highest weight (1,0,. . .,0) with any covariant tensor representation of gl(n|n) in the so called odd Gelfand-Zetlin basis are computed. The result is a step for the explicit construction of the parastatistics Fock space.

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