Maximum part-products of odd palindromic compositions
Journal of integer sequences, Tome 18 (2015) no. 2
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.
Classification :
05A17, 05A15
Keywords: integer composition, palindromic composition, odd composition, maximum product
Keywords: integer composition, palindromic composition, odd composition, maximum product
@article{JIS_2015__18_2_a7,
author = {Kenney, Andrew and Shapcott, Caroline},
title = {Maximum part-products of odd palindromic compositions},
journal = {Journal of integer sequences},
year = {2015},
volume = {18},
number = {2},
zbl = {1309.05023},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_2_a7/}
}
Kenney, Andrew; Shapcott, Caroline. Maximum part-products of odd palindromic compositions. Journal of integer sequences, Tome 18 (2015) no. 2. http://geodesic.mathdoc.fr/item/JIS_2015__18_2_a7/