© 2014 Walter de Gruyter GmbH, Berlin/Boston. In this paper we find closed forms for certain finite sums. In each case the denominator of the summand consists of products of generalized Fibonacci numbers. Furthermore, we express each closed form in terms of rational numbers
AbstractA summation formula related to the Fibonacci expansion of integers is given
© 2018 Fibonacci Association. All rights reserved. In this paper, we define 12 families of finite su...
In this paper, we find all solutions to the Diophantine equation $F_n+F_m=2^a(F_r+F_s)$, where ${F_k...
© 2014, University of Waterloo. All rights reserved. In this paper we find closed forms, in terms of...
© 2018 The Fibonacci Association. All rights reserved. In this paper, we present closed forms for 10...
© 2018 Fibonacci Association. All rights reserved. The finite sum n 2−iFi−1 = 1 −Fn+2 2n , i=1 occur...
In this paper, we present closed forms for certain finite sums of weighted products of generalized F...
In this paper, we present closed forms for certain finite sums in which the summand is a product of ...
We improve on Melham’s formulas in [10, Section 4] for certain classes of finite sums that involve g...
We improve on Melham’s formulas in [10, Section 4] for certain classes of finite sums that involve g...
We improve on Melham’s formulas in [10, Section 4] for certain classes of finite sums that involve g...
Let 1, 2, 3, 5, 8, … denote the Fibonacci sequence beginning with 1 and 2, and then setting each sub...
The purpose of this report is to analyze the properties of Fibonacci numbers modulo a Lucas numbers....
The Problem B-1 in the first issue of the Fibonacci Quarterly is the start- ing point of an extensiv...
A generalization of the well-known Fibonacci sequence is the k-generalized Fibonacci sequence (F_n^{...
AbstractA summation formula related to the Fibonacci expansion of integers is given
© 2018 Fibonacci Association. All rights reserved. In this paper, we define 12 families of finite su...
In this paper, we find all solutions to the Diophantine equation $F_n+F_m=2^a(F_r+F_s)$, where ${F_k...
© 2014, University of Waterloo. All rights reserved. In this paper we find closed forms, in terms of...
© 2018 The Fibonacci Association. All rights reserved. In this paper, we present closed forms for 10...
© 2018 Fibonacci Association. All rights reserved. The finite sum n 2−iFi−1 = 1 −Fn+2 2n , i=1 occur...
In this paper, we present closed forms for certain finite sums of weighted products of generalized F...
In this paper, we present closed forms for certain finite sums in which the summand is a product of ...
We improve on Melham’s formulas in [10, Section 4] for certain classes of finite sums that involve g...
We improve on Melham’s formulas in [10, Section 4] for certain classes of finite sums that involve g...
We improve on Melham’s formulas in [10, Section 4] for certain classes of finite sums that involve g...
Let 1, 2, 3, 5, 8, … denote the Fibonacci sequence beginning with 1 and 2, and then setting each sub...
The purpose of this report is to analyze the properties of Fibonacci numbers modulo a Lucas numbers....
The Problem B-1 in the first issue of the Fibonacci Quarterly is the start- ing point of an extensiv...
A generalization of the well-known Fibonacci sequence is the k-generalized Fibonacci sequence (F_n^{...
AbstractA summation formula related to the Fibonacci expansion of integers is given
© 2018 Fibonacci Association. All rights reserved. In this paper, we define 12 families of finite su...
In this paper, we find all solutions to the Diophantine equation $F_n+F_m=2^a(F_r+F_s)$, where ${F_k...
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