Geodesic
Powerful values of quadratic polynomials
Journal of integer sequences, Tome 14 (2011) no. 3.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study the set of those integers $k$ such that $n^{2} + k$ is powerful for infinitely many positive integers $n$. We prove that most integers $k$ have this property.
Keywords: powerful numbers, generalized pell equation 
@article{JIS_2011__14_3_a1,
     author = {de Koninck, Jean-Marie and Doyon, Nicolas and Luca, Florian},
     title = {Powerful values of quadratic polynomials},
     journal = {Journal of integer sequences},
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     number = {3},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_3_a1/}
}
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de Koninck, Jean-Marie; Doyon, Nicolas; Luca, Florian. Powerful values of quadratic polynomials. Journal of integer sequences, Tome 14 (2011) no. 3. http://geodesic.mathdoc.fr/item/JIS_2011__14_3_a1/