Results 61 to 70 of about 105 (104)

A New Generalization of Leonardo Sequences: Biperiodic Leonardo Sequence

Journal 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

Tricomplex Fibonacci Numbers: A New Family of Fibonacci-Type Sequences

Mathematics
In this paper, we define a novel family of arithmetic sequences associated with the Fibonacci numbers. Consider the ordinary Fibonacci sequence {fn}n∈N0 having initial terms f0=0, and f1=1 and recurrence relation fn=fn−1+fn−2(n≥2).
Eudes A. Costa, Paula M. M. C. Catarino, Francival S. Monteiro, Vitor M. A. Souza, Douglas C. Santos   +4 more
doaj   +1 more source

Pell Leonardo numbers and their matrix representations

Journal of New Results in Science
In this study, we investigate Pell numbers and Leonardo numbers and describe a new third-order number sequence entitled Pell Leonardo numbers. We then construct some identities, including the Binet formula, generating function, exponential generating ...
Çağla Çelemoğlu
doaj   +1 more source

Factor structure of intelligence and divergent thinking subtests: A registered report. [PDF]

PLoS One, 2022
Warne RT, Golightly S, Black M.
europepmc   +1 more source

The First Study of Mersenne--Leonardo Sequence

Communications in Advanced Mathematical Sciences
In this study, we introduce a new class of numbers, referred to as Modified Mersenne--Leonardo numbers. The aim of this paper is to define the Modified Mersenne--Leonardo sequence and investigate some of its properties, including the recurrence relation,
Paula Maria Machado Cruz Catarino, Eudes Antonio Costa   +1 more
doaj   +1 more source

Factor structure of intelligence and divergent thinking subtests: A registered report. [PDF]

PLoS One, 2021
Warne RT, Golightly S, Black M.
europepmc   +1 more source

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

Algorithms
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

Higher-order balancing numbers: new sequences, recurrence relations, generating functions and identities

Қарағанды университетінің хабаршысы. Математика сериясы
In this article, we study a novel extension of the classic balancing numbers, referred to as the higher-order balancing numbers and denoted by. This sequence is analogous to the higher-order Fibonacci numbers and follows the same recurrence relation as ...
K. Prasad, Indubala, M. Kumari
doaj   +1 more source

A Two-Moment Inequality with Applications to Rényi Entropy and Mutual Information. [PDF]

Entropy (Basel), 2020
Reeves G.
europepmc   +1 more source

Assessment of ibrutinib plus rituximab in front-line CLL (FLAIR trial): study protocol for a phase III randomised controlled trial. [PDF]

Trials, 2017
Collett L, Howard DR, Munir T, McParland L, Oughton JB, Rawstron AC, Hockaday A, Dimbleby C, Phillips D, McMahon K, Hulme C, Allsup D, Bloor A, Hillmen P.   +13 more
europepmc   +1 more source