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- W2126385061 abstract "A composition of n ∈ N is an ordered collection of one or more positive integers whose sum is n. The number of summands is called the number of parts of the composition. A palindromic composition of n is a composition of n in which the summands are the same in the given or in reverse order. In this paper we study the generating function for the number of compositions (respectively, palindromic compositions) of n with m parts in a given set A ⊆ N with respect to the number of rises, levels, and drops, and obtain previously known results as well as new results. We also generalize results for Carlitz compositions and for partitions." @default.
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- W2126385061 date "2003-10-14" @default.
- W2126385061 modified "2023-09-23" @default.
- W2126385061 title "Counting rises, levels, and drops in compositions." @default.
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