Combinatorial derivation of the recurrence relation for fibonomial coefficients
نویسنده
چکیده
Combinatorial interpretation of the fibonomial coefficients recently proposed by the present author [1,2] here results in combinatorial derivation of the recurrence relation for fibonomial coefficients . The presentation is provided with quite an exhaustive context with reference to classical attitude of [3,4]. This note apart from plane grid coordinate system used is fitted with several figures which illustrate the exposition of statements and the derivation of the recurrence itself.
منابع مشابه
Combinatorial interpretation of the recurrence relation for fibonomial coefficients
A classical-like combinatorial interpretation of the Fibonomial coefficients is provided following [1,2]. An adequate combinatorial interpretation of recurrence satisfied by Fibonomial coefficients is also proposed. It is considered to be in the spirit classicalcombinatorial interpretation like binomial Newton and Gauss q-binomial coefficients or Stirling number of both kinds are. (See ref. [3,...
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ArXiv : math.CO/0403017 v 1 1 March 2004 Summary Combinatorial interpretation of the fibonomial coefficients recently attampted by the present author [1,2] and presented here with suitable improvements results in a proposal of a might be combinatorial interpretation of the recurrence relation for fibonomial coefficients . The presentation is provided within the context of the classical combinat...
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I. Up to our knowledge-since about 126 years we were lacking of classical type combinatorial interpretation of Fibonomial coefficients as it was Lukas [1]-to our knowledge-who was the first who had defined Finono-mial coefficients and derived a recurrence for them (see Historical Note in [2]). Namely as accurately noticed by Knuth and Wilf in [3] the recurrent relations for Fibonomial coefficie...
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