Results 51 to 60 of about 594,288 (306)
On square Tribonacci Lucas numbers
The Tribonacci-Lucas sequence {Sn}{Sn} is defined by the recurrence relation Sn+3=Sn+2+Sn+1+SnSn+3=Sn+2+Sn+1+Sn with S0=3, S1=1, S2=3.S0=3, S1=1, S2=3. In this note, we show that 11 is the only perfect square in Tribonacci-Lucas sequence for n≢1(mod32)n≢1(mod32) and n≢17(mod96).n≢17(mod96).
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The Third Order Jacobsthal Octonions: Some Combinatorial Properties
Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many di erent ways.
Cerda-Morales Gamaliel
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Trastuzumab‐deruxtecan, a HER2‐targeting antibody‐drug conjugate, shows promising antitumor activity in head and neck squamous cell carcinoma with low HER2 expression. In vitro and in vivo studies demonstrated dose‐dependent cell death and tumor growth reduction in low HER2‐expressing cell lines, which correlated with drug accumulation measured using a
Abdullah Bin Naveed+8 more
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General infinite series evaluations involving Fibonacci numbers and the Riemann zeta function
The purpose of this paper is to present closed forms for various types of infinite series involving Fibonacci (Lucas) numbers and the Riemann zeta function at integer arguments.
R. Frontczak, T. Goy
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Objectives Australian evidence on lived and care experiences of chronic musculoskeletal shoulder pain (CMSP), irrespective of disorder classification or disease, is limited. However, such evidence is important for person‐centred care and informing local service pathways and care guidelines or standards.
Sonia Ranelli+8 more
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Fibonacci numbers and Lucas numbers in graphs
AbstractA subset S⊆V(G) is independent if no two vertices of S are adjacent in G. In this paper we study the number of independent sets in graphs with two elementary cycles. In particular we determine the smallest number and the largest number of these sets among n-vertex graphs with two elementary cycles.
Mariusz Startek+2 more
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Hybrid convolutions on Pell and Lucas polynomials [PDF]
Dongwei Guo, Wenchang Chu
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In this paper, dual Jacobsthal quaternions were defined. Also, the relations between dual Jacobsthal quaternions which connected with Jacobsthal and Jacobsthal-Lucas numbers were investigated. Furthermore, Binet's formula, Honsberger identity, D'ocagne'
Fügen Torunbalcı Aydın
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Sharp Bounds for the Signless Laplacian Spectral Radius in Terms of Clique Number [PDF]
In this paper, we present a sharp upper and lower bounds for the signless Laplacian spectral radius of graphs in terms of clique number. Moreover, the extremal graphs which attain the upper and lower bounds are characterized.
Abraham Berman+5 more
core
Antimicrobial Titanium–Copper Alloys: The Role of Microstructure in Arc‐Melted Compositions
Copper‐containing titanium alloys show promise in combating orthopedic implant infections. This study explores the influence of heat treatment on Ti‐11.5Cu and Ti‐33Cu alloys, revealing that larger Ti2Cu precipitates (≈5 μm) enhance antimicrobial efficacy through increased surface contact. Results suggest contact sterilization is the primary mechanism,
Daisy Rabbitt+5 more
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