On Number of Compositions of Natural Numbers

Details On Number of Compositions of Natural Numbers On Number of Compositions of Natural Numbers

2010-04-22

arxiv.org/abs/1004.3970v1

Mathematics

Combinatorics

Scientific paper

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.

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