OFFSET
0,2
COMMENTS
To be in lowest terms the two numbers do not need to be coprime, but their highest common factor does need to be squarefree.
LINKS
Andrew Bremner, "A Diophantine system", International Journal of Mathematics and Mathematical Sciences, vol. 9, no. 2, pp. 413-415, 1986. doi:10.1155/S0161171286000522
Gentleman's Diary Problem (in Japanese)
sci.math discussion March 2008
EXAMPLE
a(1)=345 since 184 and 345 have the properties 184+345=529=23^2, 184^2+345^2=152881=391^2 and 184^3+345^3=47293129=6877^2.
CROSSREFS
KEYWORD
nonn
AUTHOR
Henry Bottomley, Apr 13 2008
STATUS
approved