Results 41 to 50 of about 90,584 (250)
Pendahuluan: Odontektomi merupakan salah satu prosedur yang sering dilakukan oleh dokter gigi. Beberapa kasus odontektomi dilakukan dengan menggunakan anestesi umum dengan pertimbangan tertentu, seperti kecemasan pasien, gangguan mental atau fisik ...
Zaimi Ginanjar +2 more
doaj +1 more source
On Mixed 𝐵-Concatenations of Pell and Pell–Lucas Numbers which are Pell Numbers
Let (𝑃𝑛)𝑛≥0 and (𝑄𝑛)𝑛≥0 be the Pell and Pell–Lucas sequences. Let 𝑏 be a positive integer such that 𝑏 ≥ 2. In this paper, we prove that the following two Diophantine equations 𝑃𝑛 = 𝑏𝑑𝑃𝑚 + 𝑄𝑘 and 𝑃𝑛 = 𝑏𝑑𝑄𝑚 + 𝑃𝑘 with 𝑑, the number of digits of 𝑃𝑘 or 𝑄𝑘 in base 𝑏, have only finitely many solutions in nonnegative integers (𝑚, 𝑛, 𝑘, 𝑏, 𝑑).
Adédji, Kouéssi Norbert +1 more
openaire +3 more sources
The Adjacency-Pell-Hurwitz Numbers
See the abstract in the attached pdf.
Josh Hiller +2 more
openaire +4 more sources
On the x -coordinates of Pell equations that are products of two Pell numbers [PDF]
Abstract Let ( P m ) m ≥0 be the sequence of Pell numbers given by P
Mahadi Ddamulira, Florian Luca
openaire +1 more source
Circulant matrices may play a crucial role in solving various differential equations. In this paper, the techniques used herein are based on the inverse factorization of polynomial.
Tingting Xu, Zhaolin Jiang, Ziwu Jiang
doaj +1 more source
Pell Leonardo numbers and their matrix representations
In this study, we investigate Pell numbers and Leonardo numbers and describe a new third-order number sequence entitled Pell Leonardo numbers. We then construct some identities, including the Binet formula, generating function, exponential generating ...
Çağla Çelemoğlu
doaj +1 more source
Floor and ceiling functions for Pell numbers [PDF]
The analytical study of the Pell number and the role of floor and ceiling functions into their computation is examined. Closed expressions of Pell numbers were initially derived using Binet's formula, followed by an asymptotic behavior study of the ...
İsmail Sulan, Mustafa Aşçı
doaj +1 more source
Smooth values of some quadratic polynomials [PDF]
In this paper, using a method of Luca and the author, we find all values $x$ such that the quadratic polynomials $x^2+1,$ $x^2+4,$ $x^2+2$ and $x^2-2$ are 200-smooth and all values $x$ such that the quadratic polynomial $x^2-4$ is 100-smooth.Comment: 12 ...
Buchmann +6 more
core +3 more sources
On the Characteristic Polynomial of the Generalized k-Distance Tribonacci Sequences
In 2008, I. Włoch introduced a new generalization of Pell numbers. She used special initial conditions so that this sequence describes the total number of special families of subsets of the set of n integers.
Pavel Trojovský
doaj +1 more source
On Pillai’s problem with Pell numbers and powers of 2 [PDF]
In this paper, we find all integers c having at least two representations as a difference between a Pell number and a power of ...
Hernane, M. +3 more
core +1 more source

