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ON THE DIOPHANTINE EQUATIONS F<sub>N</sub> = P<sub>M</sub> ± Pℓ AND P<sub>N</sub> = F<sub>M</sub> ± F䪿 INVOLVING FIBONACCI AND PELL NUMBERS.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2022, v. 22, p. 1
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On the X-coordinates of Pell equations X2−dY2=±1 as difference of two Fibonacci numbers.
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- International Journal of Number Theory, 2024, v. 20, n. 2, p. 487, doi. 10.1142/S1793042124500258
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There are no Diophantine quadruples of Pell numbers.
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- International Journal of Number Theory, 2022, v. 18, n. 1, p. 27, doi. 10.1142/S179304212250004X
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- Article
k-Fibonacci and k-Lucas Numbers as Product of Two Repdigits.
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- Results in Mathematics / Resultate der Mathematik, 2021, v. 76, n. 4, p. 1, doi. 10.1007/s00025-021-01526-y
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- Article
Common terms of k-Pell numbers and Padovan or Perrin numbers.
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- Arabian Journal of Mathematics, 2023, v. 12, n. 1, p. 219, doi. 10.1007/s40065-022-00407-8
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- Article
Repdigits as products of consecutive Padovan or Perrin numbers.
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- Arabian Journal of Mathematics, 2021, v. 10, n. 2, p. 469, doi. 10.1007/s40065-021-00317-1
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- Article
An exponential equation involving k-Fibonacci numbers.
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- Turkish Journal of Mathematics, 2021, v. 45, n. 6, p. 2664, doi. 10.3906/mat-2106-86
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- Article
On the exponential Diophantine equation P<sup>x</sup><sub>n</sub> + P<sup>x</sup><sub>n+1</sub> = P<sub>m</sub>.
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- Turkish Journal of Mathematics, 2019, v. 43, n. 3, p. 1640, doi. 10.3906/mat-1810-130
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- Article
The X-coordinates of Pell equations and Padovan numbers.
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- Turkish Journal of Mathematics, 2019, v. 43, n. 1, p. 207, doi. 10.3906/mat-1808-2
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- Article
Padovan and Perrin numbers of the form xa ± xb + 1.
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- Annales Mathematicae et Informaticae, 2022, v. 55, p. 158, doi. 10.33039/ami.2021.12.002
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- Article
On the intersection of Padovan, Perrin sequences and Pell, Pell-Lucas sequences.
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- Annales Mathematicae et Informaticae, 2021, v. 54, p. 57
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- Article
An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers.
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- Annales Mathematicae et Informaticae, 2019, v. 50, p. 167, doi. 10.33039/ami.2019.03.001
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- Article
Coincidence Between k-Fibonacci Numbers and Products of Two Fermat Numbers.
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- Bulletin of the Brazilian Mathematical Society, 2022, v. 53, n. 2, p. 541, doi. 10.1007/s00574-021-00269-2
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- Article
On Repdigits Which are Sums or Differences of Two k-Pell Numbers.
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- Mathematica Slovaca, 2023, v. 73, n. 6, p. 1409, doi. 10.1515/ms-2023-0102
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An exponential Diophantine equation involving the sum or difference of powers of two Pell numbers.
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- Mathematica Slovaca, 2022, v. 72, n. 3, p. 601, doi. 10.1515/ms-2022-0040
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- Article