On some identities for the Fibonomial coefficients via generating function
نویسندگان
چکیده
منابع مشابه
The p-adic Order of Some Fibonomial Coefficients
In this paper, we consider the Fibonomial coefficients, a natural generalization of the binomial coefficients. We generalize a 2013 result of the authors and J. Sellers by proving an exact divisibility result for Fibonomial coefficients involving powers of primes and confirming a recent conjecture.
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Following Lucas and then other Fibonacci people Kwaśniewski had introduced and had started ten years ago the open investigation of the overall F -nomial coefficients which encompass among others Binomial, Gaussian and Fibonomial coefficients with a new unified combinatorial interpretation expressed in terms of cobweb posets’ partitions and tilings of discrete hyperboxes. In this paper, we deal ...
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A research problem for undergraduates and graduates is being posed as a cap for the prior antecedent regular discrete mathematics exercises. [Here cap is not necessarily CAP=Competitive Access Provider, though nevertheless ...] The object of the cap problem of final interest i.e. array of fibonomial coefficients and the issue of its combi-natorial meaning is to be found in A.K.Kwa´sniewski's so...
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Let Fn be the nth Fibonacci number. For 1 ≤ k ≤ m − 1 let
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2007
ISSN: 0166-218X
DOI: 10.1016/j.dam.2007.05.003