Double perfect partitions

AbstractMacMahon [Combinatory Analysis, vols. I and II, Cambridge University Press, Cambridge, 1915, 1916 (reprinted, Chelsea, 1960)] introduced a perfect partition of positive integer n, which is a partition such that every positive integer less than or equal to n can be uniquely represented by the sum of its parts. We generalize perfect partition and find a relation with ordered factorizations

THE SEXTUPLE COMPLETE PARTITIONS OF INTEGERS

This paper presents the concepts of sextuple (6 – tuple) complete partitions of integers and an attempt has been given for the theorem based on the last part of sextuple complete partitions of integers