Geodesic
The terms of the form $7kx^{2}$ in the generalized Lucas sequence with parameters $P$ and $Q$
Olcay Karaatlı1
1 Department of Mathematics Faculty of Arts and Sciences Sakarya University 54187 Sakarya, Turkey
Acta Arithmetica, Tome 173 (2016) no. 1, pp. 81-95

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $V_{n}(P,Q)$ denote the generalized Lucas sequence with parameters $P$ and $Q.$ For all odd relatively prime values of $P$ and $Q$ such that $P^{2}+4Q \gt 0,$ we determine all indices $n$ such that $V_{n}(P,Q)=7kx^{2}$ when $k\, |\, P.$ As an application, we determine all indices $n$ such that the equation $V_{n}=21x^{2}$ has solutions.
DOI : 10.4064/aa8247-2-2016
Keywords: denote generalized lucas sequence parameters nbsp odd relatively prime values determine indices application determine indices equation has solutions

Olcay Karaatlı 1

1 Department of Mathematics Faculty of Arts and Sciences Sakarya University 54187 Sakarya, Turkey 
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Olcay Karaatlı. The terms of the form $7kx^{2}$ in the generalized Lucas sequence with parameters $P$ and $Q$. Acta Arithmetica, Tome 173 (2016) no. 1, pp. 81-95. doi: 10.4064/aa8247-2-2016

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