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A common generalization of binomial coefficients, Stirling numbers and Gaussian coefficients.
, 1984 The generalization of the title is: For finite sets \(A_ 0,A_ 1,A_ 2,..\). with \(a_ i=| A_ i|\) and nonnegative integers n and k denote by \(S^ n_ k(a_ 0,a_ 1,a_ 2,...)\) the number of words \(w=(w_ 0,...,w_{n-1})\) such that (1) w contains k labels, say at positions \(i_ 0,...,i_{k-1}\), (2) all entries in w before position \(i_ 0\) belong to \(A_ 0\)
Bernd Voigt
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