Results 11 to 20 of about 90,394 (222)
One Type of Symmetric Matrix with Harmonic Pell Entries, Its Inversion, Permanents and Some Norms
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 +2 more
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Exact divisibility by powers of the Pell and Associated Pell numbers
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G K Panda, Asim Patra
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Some properties of bicomplex Pell and Pell-Lucas numbers
In this work, we investigated bicomplex Pell and Pell-Lucas numbers. We defined generating function and various identities involving both bicomplex Pell and Pell-Lucas numbers.
Karatas, Adnan, Halici, Serpil
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Pell Equations and ℱpl-Continued Fractions
In this note, the solvability of the Pell equation, X2−DY2=1, is discussed over ℤ×plℤ. In particular, we show that this equation is solvable over ℤ×plℤ for each prime p and natural number l.
Seema Kushwaha
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Fermat and Mersenne numbers in $k$-Pell sequence
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
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A Note on Two Fundamental Recursive Sequences
In this note, we establish some general results for two fundamental recursive sequences that are the basis of many well-known recursive sequences, as the Fibonacci sequence, Lucas sequence, Pell sequence, Pell-Lucas sequence, etc.
Farhadian Reza, Jakimczuk Rafael
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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 +4 more
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The maximum number of $P_\ell$ copies in $P_k$-free graphs [PDF]
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 +3 more
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With its July 2015 announcement of the Second Chance Pell Pilot Program, the U.S. Department of Education ushered in what could be a new era of expanded opportunities for postsecondary education in our nation's prisons. The Second Chance Pell Pilot makes
Fred Patrick +2 more
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On Generalized Pell and Pell–Lucas Numbers [PDF]
In this paper, we introduce and study a new one-parameter generalization of Pell numbers. We describe their distinct properties also related to matrix representation.
Lucyna Trojnar-Spelina, Iwona Włoch
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