Maximum Part-Products of Odd Palindromic Compositions
Andrew Kenney and Caroline Shapcott
Department of Mathematical Sciences
Indiana University South Bend
1700 Mishawaka Avenue
South Bend, IN 46634-7111
USA
Abstract:
We derive explicit formulas for the maximum part-product over the set
of palindromic compositions of a given integer and over the set of
palindromic compositions of a given integer with only odd parts. These
results are extensions of the well-known elementary formula for the
maximum part-product over the set of classical partitions.
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(Concerned with sequence
A000792.)
Received
June 2 2014; revised versions received January 2 2015; January 4 2015.
Published in the Journal of Integer Sequences, January
25 2015.
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