ON TERMS OF THE SEQUENCE {un}
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Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Charles Babbage Res Ctr
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we consider the generalized Fibonacci sequence {u(n)}. We derive a generating matrix for both the sums of squares of the form Sigma(n)(k=0) q(n-k)u(k)(2) (q not equal 0) and the products of the form qu(n)u(n+2) (q not equal 0). Also, we give a matrix method to generate the sums of product of two consecutive terms u(n)n(n+1), as well as the product qu(n)u(n+2) (q not equal 0). Furthermore we obtain generating functions and combinatorial representations of u(n)u(n+1) and u(n-1)u(n+1).
Açıklama
Anahtar Kelimeler
matrix methods, generating function, Fibonacci numbers
Kaynak
Ars Combinatoria
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
146
