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Abstract: 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 \Gamma 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... (Update)
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BibTeX entry: (Update)
@misc{ yen-symmetric,
author = "Lily Yen",
title = "A Symmetric Functions Approach To Stockhausen's Problem",
url = "citeseer.ist.psu.edu/article/yen95symmetric.html" }
Citations (may not include all citations):492 Symmetric Functions and Hall Polynomials (context) - Macdonald - 1979
154 Combinatorial Enumeration (context) - Goulden, Jackson - 1983
47 Symmetric functions and P-recursiveness (context) - Gessel - 1990
6 Undergraduate Texts in Mathematics (context) - Stanton, White et al. - 1986
4 Universal Edition (context) - Stockhausen, Klavierstuck et al. - 1979
3 A Note on The Stockhausen Problem (context) - Read, Yen
3 A direct combinatorial proof for Stockhausen's problem (context) - Yen - 1995
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