On Number of Compositions of Natural Numbers
Combinatorics
2010-04-23 v1
Abstract
We first give a combinatorial interpretation of coefficients of Chebyshev polynomials, which allows us to connect them with compositions of natural numbers. Then we describe a relationship between the number of compositions of a natural number in which a certain number of parts are p-1, and other parts are not less than p with compositions in which all parts are not less than p. Then we find a relationship between principal minors of a type of Hessenberg matrices and compositions of natural numbers.
Keywords
Cite
@article{arxiv.1004.3970,
title = {On Number of Compositions of Natural Numbers},
author = {Milan Janjic},
journal= {arXiv preprint arXiv:1004.3970},
year = {2010}
}