Valleyless Sequences

Details Valleyless Sequences Valleyless Sequences

2000-05-17

arxiv.org/abs/math/0005180v1

Mathematics

Combinatorics

Scientific paper

Valleyless sequences of finite length $n$ and maximum entry $k$ occur in tree
enumeration problems and provide an interesting correspondence between
permutations and compositions. In this paper we introduce the notion of \emph
{valleyless} sequences, explore the correspondence and enumerate them using the
method of generating functions.

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