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Abstract for Lily Yen, A Symmetric Functions Approach to Stockhausen's Problem

We consider problems in sequence enumeration suggested by
Stockhausen's problem, and derive a generating series for the number of
sequences of length $k$ on $n$ available symbols such that adjacent
symbols are distinct, the terminal symbol occurs exactly $r$ times, and
all other symbols occur at most $r-1$ times. The analysis makes extensive
use of techniques from the theory of symmetric functions. Each algebraic
step is examined to obtain information for formulating a direct
combinatorial construction for such sequences.

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