Results 201 to 210 of about 1,424 (225)
Immune Checkpoint Inhibition in Patients with Brain Metastases from Non-Small-Cell Lung Cancer: Emerging Mechanisms and Personalized Clinical Strategies. [PDF]
Nasser NJ +6 more
europepmc +1 more source
Future land use maps for the Netherlands based on the Dutch One Health Shared Socio-economic Pathways. [PDF]
Dellar M +6 more
europepmc +1 more source
Comparative Analysis of CAD-CAM Workflow Variations on the Marginal and Internal Gaps and Fatigue Behavior of Ceramic and Resin Composite Dental Crowns. [PDF]
Pilecco RO +8 more
europepmc +1 more source
Balancing and Lucas-balancing numbers which are concatenation of three repdigits
Let \((B_n)_{n\geq 0}\) be sequence A001109 and \((C_n)_{n\geq 0}\) be sequence A001541 in OEIS. Both sequences have the same characteristic polynomial \(x^2-6x+1\). We have \[B_n=\frac{\alpha^n-\beta^n}{4\sqrt{2}}\mbox{ and }C_n=\frac{\alpha^n+\beta^n}{2}\] for all \(n\geq0\), where \(\alpha=3+2\sqrt{2}\) resp.
S. G. Rayaguru, Jhon J. Bravo
openalex +2 more sources
Spinor algebra of k-balancing and k-Lucas-balancing numbers
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
On the Periodicity of Lucas-Balancing Numbers and p-adic Order of Balancing Numbers
The objective of this article is to study the periodicity of Lucas-balancing numbers modulo any positive integer. Some relations between the periodicity of balancing and Lucas-balancing numbers are also discussed. Further, in this study the p-adic order of balancing numbers is completely characterized .
Takao Komatsu +2 more
openalex +2 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Brousseau’s Reciprocal Sums Involving Balancing and Lucas-Balancing Numbers
The Journal of the Indian Mathematical Society, 2022In 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.
Rayaguru, S. G., Panda, G. K.
openaire +2 more sources

