Journal of Integer Sequences, Vol. 8 (2005), Article 05.5.8

Maximum Product Over Partitions Into Distinct Parts


Tomislav Došlić
Faculty of Agriculture
University of Zagreb
Svetošimunska 25
10000 Zagreb
Croatia

Abstract: We establish an explicit formula for the maximum value of the product of parts for partitions of a positive integer into distinct parts (sequence A034893 in the On-Line Encyclopedia of Integer Sequences).

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(Concerned with sequences A000217, A000792, and A034893 .)

Received November 3 2005; revised version received November 9 2005. Published in Journal of Integer Sequences November 14 2005. Revised version (correcting Theorem 4.1), January 22 2007.

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