Results 41 to 50 of about 2,867 (218)
On Mixed 𝐵-Concatenations of Pell and Pell–Lucas Numbers which are Pell Numbers
Mathematica PannonicaLet (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
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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 +2 more
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The Adjacency-Pell-Hurwitz Numbers
Integers, 2018 See the abstract in the attached pdf.
Josh Hiller +2 more
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On the x -coordinates of Pell equations that are products of two Pell numbers [PDF]
Mathematica Slovaca, 2020 Abstract Let ( P m ) m ≥0 be the sequence of Pell numbers given by P
Mahadi Ddamulira, Florian Luca
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Pell Leonardo numbers and their matrix representations
Journal of New Results in ScienceIn 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
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Pell Even Sum Cordial Labeling of Graphs
Ratio Mathematica, 2023 LetG=(V,E) be a simple graph and let P_i be Pell numbers. For a bijectionf:V\left(G\right)\rightarrow{P_0,\ P_1,\ldots,P_{\left|V\right|-1}}, assign the label 1 for the edge e=uv if f\left(u\right)+f(v) is even and label 0 otherwise. Then f is said to be
Christina Mercy, T Tamizh Chelvam
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Almost neo cobalancing numbers [PDF]
Notes on Number Theory and Discrete MathematicsIn this work, we determined the general terms of almost neo cobalancing numbers, almost Lucas-neo cobalancing numbers and almost neo cobalancers in terms of cobalancing and Lucas-cobalancing numbers. We also deduced some results on relationship with Pell,
Ahmet Tekcan, Ecem Akgüç
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JCPP Advances, EarlyView.This systematic review investigated the association of prenatal exposure to antihypertensive medication with longer‐term poor neurodevelopmental outcomes by evaluating the findings from existing literature. We undertook a systematic review of previous studies looking specifically at neurodevelopmental outcomes in children.
Shrifah Alkhalaf +5 more
wiley +1 more source
A note on Pell-Padovan numbers and their connection with Fibonacci numbers
Karpatsʹkì Matematičnì Publìkacìï, 2020 In this paper, we find new relations involving the Pell-Padovan sequence which arise as determinants of certain families of Toeplitz-Hessenberg matrices. These determinant formulas may be rewritten as identities involving sums of products of Pell-Padovan
T.P. Goy, S.V. Sharyn
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When Does Top Management Team Diversity Matter in Large Organizations?
Journal of Organizational Behavior, EarlyView.ABSTRACT Top management teams (TMTs) drive strategic leadership, but there is little clarity on when the composition of these upper echelons most impacts organization performance. Drawing from the categorization‐elaboration model, we study an 18‐year sample of approximately 4500 organizations and over 32 000 executives and find a positive relationship ...
Frances Fabian +2 more
wiley +1 more source