Results 61 to 70 of about 1,995,314 (144)

AN INTEGRAL REPRESENTATION OF THE PELL NUMBERS AND THE PELL-LUCAS NUMBERS [PDF]

We report on an integral representation for the Pell sequence, Pell-Lucas sequence, Balancing sequence and Lucas-Balancing sequence. This integral representation  is based on the generating function  and  the Binet-like formulas of the aforementioned ...
Nguyen Duc Sang, Luu Ba Thang
core   +1 more source

On balancing and Lucas-balancing numbers expressible as product of two $k$-Fibonacci numbers

A positive integer $n$ is called a balancing number if there exists a positive integer $r$ such that $1 + 2 + \cdots + (n-1) = (n+1) + (n+2) + \cdots + (n+r)$. The corresponding value $r$ is known as the balancer of $n$. If $n$ is a balancing number, then $8n^{2}+1$ is a perfect square, and its positive square root is called a Lucas-balancing number ...
Tripathy, Bibhu Prasad, Patel, Bijan Kumar   +1 more
openaire   +2 more sources

The Barriers and Enablers to the Use of Alternative Approaches to Restrictive Practices: A Scoping Review and Causal Loop Diagram. [PDF]

Nurs Open
Bennetts SL, Pepin G, Lucas JJ.
europepmc   +1 more source

Current practices of index hospitalization anticoagulant use in pediatric patients with acute myeloid leukemia. [PDF]

Blood Vessel Thromb Hemost
Elsbernd A, Grills N, Antoon JW, Kyler KE, Orth LE, Savage TJ, Hall M, Goldman JL, Carpenter SL.   +8 more
europepmc   +1 more source

Simulating the host niche: balancing complexity and control in the experimental evolution of antibiotic resistance and pathoadaptation. [PDF]

Microbiology (Reading)
Hernandez-Bird J, Meirelles LA.
europepmc   +1 more source

Ancient regulatory evolution shapes individual language abilities in present-day humans. [PDF]

Sci Adv
Casten LG, Koomar T, Thomas TR, Koh JY, Hofammann D, Thenuwara S, Momany A, O'Brien M, Murray JC, Tomblin JB, Michaelson JJ.   +10 more
europepmc   +1 more source

Caring Across Generations: The Urgent Need to Support Young Carers in Canada's Aging Population. [PDF]

Can Geriatr J
Perri LX, Fakolade A, Okrainec K, Lewin W.   +3 more
europepmc   +1 more source

Staged matrix and micrografting reconstruction for no-option CLTI: A case report. [PDF]

Sci Prog
Miserlis D, Ferrer L, Mizani RM, Davies MG, Koutakis P.   +4 more
europepmc   +1 more source

Orthogonal Chemistry Enables Precision Nanoparticle Cofunctionalization for Tuning Immune Stimulation and Antigen Presentation. [PDF]

Biomacromolecules
Heiler AJ, McClain CA, Lucas SN, He GZ, Finn MG, Thomas SN.   +5 more
europepmc   +1 more source

Certain matrices associated with balancing and Lucas-balancing numbers

, 2012
Balancing numbers $n$ and balancers $r$ are originally defined as the solution of the Diophantine equation $1+2+cdots+(n-1)=(n+1)+(n+2)+cdots+(n+r)$. These numbers can be generated by the linear recurrence $B_{n+1}=6B_{n}-B_{n-1}$ or by the nonlinear ...
Husna Zayadi
core