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Categorification of the Fibonacci numbers using representations of quivers
Categorification of the Fibonacci numbers representations of quivers Representation Theory
2011/8/31
Abstract: In a previous paper we have presented a partition formula for the even-index Fibonacci numbers using the preprojective representations of the 3-Kronecker quiver and its universal cover, the ...
Generalized Compositions and Weighted Fibonacci Numbers
Compositions Fibonacci numbers Polynomial coefficients
2010/12/8
In this paper we consider particular generalized compositions of a nat-ural number with a given number of parts. Its number is a weighted polynomial coefficient. The number of all generalized composit...