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k-Generalized Pell Numbers Which are Concatenation of Two Repdigits
Mediterranean Journal of Mathematics, 2022Let \(\ge 2\) and let \((P_n^{(k)})_{n\ge -(k-2)}\) be the \(k\)-generalized Pell sequence defined by the recursion \(P_n^{(k)}=P_{n-1}^{(k)}+\cdots+P_{n-k}^{(k)}\) for \(n\ge 2\) with initial conditions \(0,0,\ldots,0,1\) (\(k-1\) zeros). They find all the members of this family of sequences which when written in base \(10\) are a concatenation of two
Zafer Şiar, Refik Keskin
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2023 International Conference on Computational Science and Computational Intelligence (CSCI), 2023
Weizheng Gao +6 more
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Weizheng Gao +6 more
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Pell-Type Number Generators of Pythagorean Triples
1993It is well-known that primitive Pythagorean triples x, y, z can be generated by external generators M, N according to the equations $$ x = {M^2} - {N^2},\;\;y = 2MN,\,\,z = {M^2} + {N^2} $$ (1.1) where x, y, z, M, N are positive integers, (M, N) = 1 and M + N ≡ l(mod 2).
A. F. Horadam, A. G. Shannon
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Ritz-generalized Pell wavelet method: Application for two classes of fractional pantograph problems
Communications in Nonlinear Science and Numerical Simulation, 2023Mohsen Razzaghi +2 more
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On the sum of the reciprocals of kk\pmb {k}-generalized Pell numbers
Indian Journal of Pure and Applied Mathematics, 2023Benedict Vasco Normenyo
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The generalized order k–Pell sequences in some special groups of nilpotency class 2
Communications in Algebra, 2022exaly
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2022
Carlos A Gomez
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Carlos A Gomez
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On the computing of the generalized order- Pell numbers in log time
Applied Mathematics and Computation, 2006Bülent Altunkaynak
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On the generalized order 2-Pell sequence of some classes of groups
Communications in Algebra, 2018Elahe Mehraban
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