More on combinatorial interpretation of the fibonomial coefficients
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چکیده
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 combinatorics‘ attitude to that type of basic enumerative problems [3,4]. This note apart from plane grid coordinate system used is fitted with several figures (Fig.1 corrected) and examples which illustrate the exposition of statements and an interpretation of the recurrence itself.
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Comments on combinatorial interpretation of fibonomial coefficients - an email style letter
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...
متن کاملCombinatorial derivation of the recurrence relation for fibonomial coefficients
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 figure...
متن کاملMore on Combinatorial Interpretation of Fibonomial Coefficients
A classical-like combinatorial interpretation of the Fibonomial coefficients is proposed following [1,2]. 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. [3,4] and refs. given therein). It also concerns choices. Choices of specific sub-posets from a non-tree poset sp...
متن کاملCombinatorial 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,...
متن کاملInformation on Combinatorial Interpretation of Fibonomial Coefficients
The Fibonacci sequence origin is attributed and referred to the first edition (lost) of “Liber abaci” (1202) by Leonardo Fibonacci [Pisano] (see second edition from 1228 reproduced as Il Liber Abaci di Leonardo Pisano publicato secondo la lezione Codice Maglibeciano by Baldassarre Boncompagni in Scritti di Leonardo Pisano vol. 1, (1857) Rome). Very recently [1, 2] Fibonomial coefficients [–5] h...
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