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- W2100684081 abstract "An M-partition of a positive integer m is a partition of m with as few parts as possible such that every positive integer less than m can be written as a sum of parts taken from the partition. This type of partition is a variation of MacMahon's perfect partition, and was recently introduced and studied by O’Shea, who showed that for half the numbers m, the number of M-partitions of m is equal to the number of binary partitions of 2n+1-1-m, where n=⌊log2m⌋. In this note we extend O’Shea's result to cover all numbers m." @default.
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- W2100684081 date "2006-04-01" @default.
- W2100684081 modified "2023-10-17" @default.
- W2100684081 title "Enumeration of M-partitions" @default.
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- W2100684081 doi "https://doi.org/10.1016/j.disc.2006.02.010" @default.
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