Playing with Some Identities of Andrews
نویسندگان
چکیده
We study two remarkable identities of Andrews relating Fibonacci numbers and binomial coefficients in terms of generating functions and Riordan arrays. We thus give a deeper insight to the problem and find several new identities involving many other well-known sequences.
منابع مشابه
The combinatorics of k - marked Durfee symbols Kathy
Andrews recently introduced k-marked Durfee symbols which are connected to moments of Dyson’s rank. By these connections, Andrews deduced their generating functions and some combinatorial properties and left their purely combinatorial proofs as open problems. The primary goal of this article is to provide combinatorial proofs in answer to Andrews’ request. We obtain a relation between k-marked ...
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