Three triangular numbers contained in geometric progression
Yuan, Pingzhi ; Luo, Jiagui
Funct. Approx. Comment. Math., Tome 42 (2010) no. 1, p. 59-65 / Harvested from Project Euclid
In the present paper we prove that all three distinct triangular numbers in geometric progression and the positive integer solutions $(x,y,z)$ of the equation $(x^2-1)(y^2-1)= (z^2-1)^2$, $1
Publié le : 2010-03-15
Classification:  Triangular numbers,  geometric progressions,  Pell equations,  11D25,  11D41
@article{1269437069,
     author = {Yuan, Pingzhi and Luo, Jiagui},
     title = {Three triangular numbers contained in geometric progression},
     journal = {Funct. Approx. Comment. Math.},
     volume = {42},
     number = {1},
     year = {2010},
     pages = { 59-65},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1269437069}
}
Yuan, Pingzhi; Luo, Jiagui. Three triangular numbers contained in geometric progression. Funct. Approx. Comment. Math., Tome 42 (2010) no. 1, pp.  59-65. http://gdmltest.u-ga.fr/item/1269437069/