Kenney, Andrew; Shapcott, Caroline

Maximum part-products of odd palindromic compositions

J. Integer Seq. 18(2), Article 15.2.6, 8 p., electronic only (2015)

Summary

Summary: 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.

Mathematics Subject Classification

05A17, 05A15

Keywords/Phrases

integer composition, palindromic composition, odd composition, maximum product

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