Results 131 to 140 of about 47,656 (155)

The Global Wheat Full Semantic Organ Segmentation (GWFSS) Dataset

open access: yes
Wang Z   +35 more
europepmc   +1 more source

Incomplete balancing and lucas-balancing numbers [PDF]

open access: closed, 2018
The aim of this article is to establish some combinatorial expressions of balancing and Lucas-balancing numbers and investigate some of their properties.
Bijan Kumar Patel   +3 more
core   +4 more sources

Factoriangular numbers in balancing and Lucas-balancing sequence

open access: closedBoletín de la Sociedad Matemática Mexicana, 2020
In this paper, we prove the nonexistence of factoriangular numbers in balancing and Lucas-balancing sequence.
S. G. Rayaguru   +2 more
openalex   +3 more sources

Brousseau’s Reciprocal Sums Involving Balancing and Lucas-Balancing Numbers

open access: closedThe Journal of the Indian Mathematical Society, 2022
In this paper, we derive the closed form expressions for the finite and infinite sums with summands having products of balancing and Lucas-balancing numbers in the denominator. We present some generalized Brousseau’s sums for balancing and Lucas-balancing numbers.
S. G. Rayaguru, G. K. Panda
openalex   +2 more sources

Diophantine equations concerning balancing and Lucas balancing numbers

open access: closedArchiv der Mathematik, 2016
In this paper, we consider the sequence of balancing and Lucas balancing numbers. The balancing numbers $${B_n}$$ are given by the recurrence
Pallab Kanti Dey, Sudhansu Sekhar Rout
openalex   +3 more sources

On the Properties of Lucas-Balancing Numbers by Matrix Method

open access: closedSigmae, 2014
Balancing numbers n and balancers r are originally dened as the solution of the Diophantine equation 1 + 2 + ... + (n - 1) = (n + 1) + (n + 2) + ... + (n + r). If n is a balancing number, then 8n^2 +1 is a perfect square. Further, If n is a balancing number then the positive square root of 8n^2 + 1 is called a Lucas-balancing number.
Prasanta Kumar Ray
openalex   +2 more sources

Balancing and Lucas-Balancing hybrid numbers and some identities

open access: closedJournal of Information and Optimization Sciences
In this paper, we introduce Balancing and Lucas-Balancing hybrid numbers. We examine some identities of Balancing and Lucas-Balancing hybrid numbers. We give some basic definitions and properties related to them. In addition, we find Binet’s Formula, Cassini’s identity, Catalan’s identity, d’Ocagne identity, generating functions, exponential generating
Mıne Uysal, Engın Özkan
openalex   +2 more sources

Exact Divisibility by Powers of the Balancing and Lucas-Balancing Numbers

open access: closedThe Fibonacci Quarterly, 2021
Asim Patra   +2 more
openalex   +2 more sources

Spinor algebra of k-balancing and k-Lucas-balancing numbers

open access: closedJournal of Algebra and Its Applications
In this paper, we introduce and study a spinor algebra of [Formula: see text]-balancing numbers referred to as the [Formula: see text]-balancing and [Formula: see text]-Lucas-balancing spinors. First, we give [Formula: see text]-balancing quaternions and their some algebraic properties.
Kalika Prasad   +3 more
openalex   +2 more sources

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