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math.CO2001
S-partitions
William M. Y. Goh, Pawel Hitczenko, Ali Shokoufandeh
This note reports on the number of s-partitions of a natural number n. In an s-partition each cell has the form for some integer k. Such partitions have potential applicati…
math.CO2001★ 1 cited
Average number of distinct part sizes in a random Carlitz composition
William M. Y. Goh, Pawel Hitczenko
A composition of an integer is called Carlitz if adjacent parts are different. Several characteristics of random Carlitz compsitions have been studied recently by Knopfmacher and P…