%0 Journal Article
%T Generalized Compositions and Weighted Fibonacci Numbers
%A Milan Janjic
%J Mathematics
%D 2010
%I arXiv
%X In this paper we consider particular generalized compositions of a natural number with a given number of parts. Its number is a weighted polynomial coefficient. The number of all generalized compositions of a natural number is a weighted $r$-generalized Fibonacci number. A relationship between these two numbers will be derived. We shall thus obtain a generalization of the well-known formula connecting Fibonacci numbers with the binomial coefficients.
%U http://arxiv.org/abs/1009.3216v1