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Factoriangular numbers in balancing and Lucas-balancing sequence
In this paper, we prove the nonexistence of factoriangular numbers in balancing and Lucas-balancing sequence.
S. G. Rayaguru+2 more
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Octonions and hyperbolic octonions with the k-balancing and k-Lucas balancing numbers
Kalika Prasad+2 more
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On the Properties of Lucas-Balancing Numbers by Matrix Method
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.
Prasanta Kumar Ray
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Generalization of Cassini formulas for balancing and Lucas-balancing numbers
П. К. Рай, К. Парида. Обобщение формулы Кассини для сбалансированных и сбалансированных в смысле Лукаса чисел // Мат. Студiї. – 2014. – Т.42, No1. – C.9–14.
Prasanta Kumar Ray, Kaberi Parida
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Incomplete balancing and lucas-balancing numbers
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
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Certain Matrices Associated with Balancing and Lucas-balancing Numbers
\cdots Balancing numbers $n$ and balancers $r$ are originally defined as the solution of the Diophantine equation $1+2+\cdots+(n-1)=(n+1)+(n+2)+\cdots+(n+r)$.
Prasanta Kumar Ray
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Some Identities for Balancing and Lucas-Balancing Numbers in Bidimensional Version
J. Chimpanzo+2 more
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Some properties of r-circulant matrices with k-balancing and k-Lucas balancing numbers
Boletín de la Sociedad Matematica Mexicana, 2023K. Prasad, H. Mahato, Munesh Kumari
semanticscholar +1 more source
Recent progress in the treatment of cancer in children
Ca-A Cancer Journal for Clinicians, 2021Theodore W Laetsch
exaly
Planning for post‐pandemic cancer care delivery: Recovery or opportunity for redesign?
Ca-A Cancer Journal for Clinicians, 2021Pelin Cinar+2 more
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