Wang Efang.PERFECT PARTITIONS[J].Chinese Annals of Mathematics B,1986,7(3):267~272
Page view: 800Net amount: 643
Authors:
Wang Efang;
Abstract:
In this paper, the author gives a necessary and sufficient condition on the parts of a partition a for a to be perfect and a necessary and sufficient condition on n for which there exists a non-trivial perfect n-partition. Besides, the author gives some recurrence formulas
and computing methods for the number Per(n) of perfect n-partitions and lists the values of Per(n) up to 100 and for some other cases of n.