Results 61 to 70 of about 121 (112)

On a unified approach to homogeneous second-order linear difference equations with constant coefficients and some applications

open access: yesSpecial Matrices
In this article, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory.
Kaddoura Issam, Mourad Bassam
doaj   +1 more source

Binet – Type Formula For The Sequence of Tetranacci Numbers by Alternate Methods

open access: yesMathematical Journal of Interdisciplinary Sciences, 2019
The sequence {Tn} of Tetranacci numbers is defined by recurrence relation Tn= Tn-1 + Tn-2 + Tn-3 + Tn-4; n≥4 with initial condition T0=T1=T2=0 and T3=1. In this Paper, we obtain the explicit formulla-Binet-type formula for Tn by two different methods. We use the concept of Eigen decomposition as well as of generating functions to obtain the result.
null Gautam S. Hathiwala   +1 more
openaire   +2 more sources

A New Generalization of Leonardo Sequences: Biperiodic Leonardo Sequence

open access: yesJournal of Mathematics
In this study, we define a new type of number sequence called biperiodic Leonardo sequence by the recurrence relation Lena,b=aLen−1+Len−2+1 (for even n) and Lena,b=bLen−1+Len−2+1 (for odd n) with the initial conditions Le0a,b=Le1a,b=1.
Hasan Gökbaş
doaj   +1 more source

Exploring Generalized $2^k$-Fibonacci Sequence: A New Family of the Fibonacci Sequence

open access: yesCommunications in Advanced Mathematical Sciences
The focus of this paper is to study the $2^k$–Fibonacci sequence, which is defined for all integers $2^k$, and its connections with both the Fibonacci and the Fibonacci-Lucas sequences.
Elis Gardel Costa Mesquista   +2 more
doaj   +1 more source

Plenary Abstracts Session & Oral Presentations

open access: yes
HemaSphere, Volume 10, Issue S1, June 2026.
wiley   +1 more source

Poster Sessions

open access: yes
HemaSphere, Volume 10, Issue S1, June 2026.
wiley   +1 more source

A Training Algorithm for Locally Recurrent Neural Networks Based on the Explicit Gradient of the Loss Function

open access: yesAlgorithms
In this paper, a new algorithm for the training of Locally Recurrent Neural Networks (LRNNs) is presented, which aims to reduce computational complexity and at the same time guarantee the stability of the network during the training.
Sara Carcangiu, Augusto Montisci
doaj   +1 more source

Publication Only

open access: yes
HemaSphere, Volume 10, Issue S1, June 2026.
wiley   +1 more source

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