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Enumerating (Multiplex) juggling sequences. (English) Zbl 1231.05009
Summary: We consider the problem of enumerating periodic $$\sigma$$-juggling sequences of length $$n$$ for multiplex juggling, where $$\sigma$$ is the initial state (or landing schedule) of the balls. We first show that this problem is equivalent to choosing 1’s in a specified matrix to guarantee certain column and row sums, and then using this matrix, derive a recursion. This work is a generalization of earlier work of Chung and Graham.

##### MSC:
 05A15 Exact enumeration problems, generating functions 00A08 Recreational mathematics
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##### References:
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