
Summary: Representing a positive integer in terms of a sum of smaller numbers with certain conditions has been studied since MacMahon pioneered perfect partitions. The complete partitions is in this category and studied by the second author. We study complete partitions with more specified completeness, which we call the double-complete partitions.
Combinatorial aspects of partitions of integers, Elementary theory of partitions
Combinatorial aspects of partitions of integers, Elementary theory of partitions
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