Generalization of Fibonomial Coefficients - Mathematics > CombinatoricsReportar como inadecuado

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Abstract: Following Lucas and then other Fibonacci people Kwasniewski had introducedand had started ten years ago the open investigation of the overall F-nomialcoefficients which encompass among others Binomial, Gaussian and Fibonomialcoefficients with a new unified combinatorial interpretation expressed in termsof cobweb posets- partitions and tilings of discrete hyperboxes. In this paper,we deal with special subfamily of T-nomial coefficients.The main aim of this note is to develop the theory of T-nomial coefficientswith the help of generating functions. The binomial-like theorem for T-nomialsis delivered here and some consequences of it are drawn. A new combinatorialinterpretation of T-nomial coefficients is provided and compared with theKonvalina way of objects- selections from weighted boxes. A brief summary ofalready known properties of T-nomial coefficients is served.

Autor: M. Dziemianczuk


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