Results 21 to 30 of about 8,624,563 (225)

Fermat and Mersenne numbers in $k$-Pell sequence

Математичні Студії, 2021
For an integer $k\geq 2$, let $(P_n^{(k)})_{n\geq 2-k}$ be the $k$-generalized Pell sequence, which starts with $0,\ldots,0,1$ ($k$ terms) and each term afterwards is defined by the recurrence $ P_n^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+\cdots +P_{n-k}^{(k)}
B. Normenyo, S. Rihane, A. Togbe
doaj   +1 more source

The maximum number of $P_\ell$ copies in $P_k$-free graphs [PDF]

Discrete Mathematics & Theoretical Computer Science, 2019
Generalizing Tur\'an's classical extremal problem, Alon and Shikhelman investigated the problem of maximizing the number of $T$ copies in an $H$-free graph, for a pair of graphs $T$ and $H$.
Ervin Győri, Nika Salia, Casey Tompkins, Oscar Zamora   +3 more
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Association between Pell and Gregory classification and the difficulty of the extraction of the lower third parties

RGO: Revista Gaúcha de Odontologia, 2021
Lower third molar extraction is a common procedure in Oral and Maxillofacial Surgeons routine. However, even though this procedure is frequent, sometimes its course is unexpected.
Erasmo Freitas de SOUZA JUNIOR, Janielma Azevedo SILVA, José Iago Pereira de BRITO, Eudes Euler de Souza LUCENA, Hecio Henrique Araújo de MORAIS   +4 more
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Pell and Pell–Lucas numbers as difference of two repdigits

Afrika Matematika, 2023
to appear in Afrika ...
Edjeou, Bilizimbéyé, Faye, Bernadette
openaire   +2 more sources

Some results on one type of graph family with some special number sequences

AKCE International Journal of Graphs and Combinatorics, 2020
In this study, we introduce a new graph family. Then, we calculate eigenvalues of the adjacency and the Laplacian matrix of this graph family. Moreover, we show that the perfect matching number of this graph family equals to special second order ...
Emrullah Kirklar, A. Dilek Maden, Fatih Yilmaz   +2 more
doaj   +1 more source

Markov Triples with Generalized Pell Numbers

Mathematics, 2023
For an integer k≥2, let (Pn(k))n be the k-generalized Pell sequence which starts with 0,…,0,1 (k terms), and each term afterwards is given by Pn(k)=2Pn−1(k)+Pn−2(k)+⋯+Pn−k(k). In this paper, we determine all solutions of the Markov equation x2+y2+z2=3xyz,
Julieth F. Ruiz, Jose L. Herrera, Jhon J. Bravo   +2 more
doaj   +1 more source

Exact divisibility by powers of the Pell and Associated Pell numbers

Proceedings - Mathematical Sciences, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G K Panda, Asim Patra
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The complex-type Pell p-numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we define the complex-type Pell p-numbers and give the generating matrix of these defined numbers. Then, we produce the combinatorial representation, the generating function, the exponential representation and the sums of the complex-type ...
Yeşim Aküzüm, Hüseyin Aydın, Ömür Deveci   +2 more
doaj   +1 more source

The Complex-Type k-Pell Numbers and Their Applications

Journal of Mathematics, 2023
In this study, a new sequence called the complex-type k-Pell number is defined. Also, we give properties of this sequence such as the generating matrix, the generating function, the combinatorial representations, the exponential representation, the sums,
Yeşim Aküzüm
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One Type of Symmetric Matrix with Harmonic Pell Entries, Its Inversion, Permanents and Some Norms

Mathematics, 2021
The Pell numbers, named after the English diplomat and mathematician John Pell, are studied by many authors. At this work, by inspiring the definition harmonic numbers, we define harmonic Pell numbers.
Seda Yamaç Akbiyik, Mücahit Akbiyik, Fatih Yilmaz   +2 more
doaj   +1 more source