Results 91 to 100 of about 1,632,723 (171)

Some conjectures concerning sums of odd powers of Fibonacci and Lucas numbers

, 2009
This paper contains observations, conjectures and open questions concerning two finite sums that involve Fibonacci and Lucas numbers. Certain authors have become aware of the contents of this 9hitherto unpublished) manuscript and have made inroads into ...
Melham, R
core  

Closed forms for certain fibonacci type sums that involve second order products [PDF]

, 2017
In this paper, we present closed forms for certain finite sums in which the summand is a product of generalized Fibonacci numbers. We present our results in the form of six theorems that feature a generalized Fibonacci sequence {Wn}, and an accompanying ...
Melham, RS
core  

The k-Fibonacci sequence and the Pascal 2-triangle [PDF]

, 2020
The general k-Fibonacci sequence fF k;n g 1 n¼0 were found by studying the recursive application of two geometrical transformations used in the well-known 4-triangle longest-edge (4TLE) partition.
Á Ngel Plaza, Sergio Falcó
core  

The k-Fibonacci sequence and the Pascal 2-triangle

, 2007
The general k-Fibonacci sequence {Fk, n}n = 0∞ were found by studying the recursive application of two geometrical transformations used in the well-known 4-triangle longest-edge (4TLE) partition.
Falcón, Sergio, Plaza, Ángel
core   +1 more source

Various Properties of the Fibonacci Number Sequence

, 2015
The Fibonacci number sequence is famous for its connection to the Golden Ratio and its appearance within natural objects. However, there do exist Fibonacci-like sequences that share the same recursive definition as the Fibonacci sequence without ...
Gibson, Meghann
core   +1 more source

Fibonacci-Ishikawa iterative method in modular spaces for asymptotically non-expansive monotonic mathematical operators

Journal of Inequalities and Applications
In the context of modular function spaces, we propose and investigate the Fibonacci-Ishikawa iteration method applied to non-expansive, asymptotically monotonic mathematical operators.
Anita Tomar, Khairul Habib Alam, Mohammad Sajid, Yumnam Rohen, S. Surendra Singh   +4 more
doaj   +1 more source

IDENTITIES FOR MULTIPLICATIVE COUPLED FIBONACCI SEQUENCES OF RTH ORDER

Journal of New Theory, 2017
Abstaract−Many author studied coupled Fibonacci sequences and multiplicative coupled Fi- bonacci sequences of lower order two, three and four etc. In this paper we defined multiplicative coupled Fibonacci Sequences of rthorder under 2rdifferent schemes ...
Ashok Dnyandeo Godase, Macchindra Dhakne
doaj  

Explosive Fibonacci-sequence growth into unusual sector-face morphology in poly(L-lactic acid) crystallized with polymeric diluents. [PDF]

Sci Rep, 2020
Lugito G, Nagarajan S, Woo EM.
europepmc   +1 more source

Catalan transform of the k-fibonacci sequence

, 2013
In this paper we apply the Catalan transform to the k-Fibonacci sequence finding different integer sequences, some of which are indexed in OEIS and others not.
Falcon, Sergio
core   +1 more source

Investigation of p-Summable Fibonacci-Type Difference Sequence Spaces and Their Duals via Modulus Functions

Journal of Mathematics
In this paper, we introduce new Fibonacci-type difference sequence spaces defined by a modulus function f, specifically focusing on the sequence space lGu,v,f,p, where p=pk is an arbitrary bounded sequence of positive real numbers.
Sunil K. Sharma, Ravi Kumar, Faruk Özger, Merve Ersoy   +3 more
doaj   +1 more source