Compositions with distinct partsAequationes mathematicae - Tập 49 - Trang 86-97 - 1995
B. Richmond, A. Knopfmacher
The number of compositionsC(n) of a positive integern into distinct parts can be considered as a natural analogue of the numberq(n) of distinct partitions ofn. We obtain an asymptotic estimate forC(n) and in addition show that the sequence {C(n, k)} of distinct compositions ofn withk distinct parts is unimodal. Our analysis is more complicated than is usual for composition problems. The results im...... hiện toàn bộ