OFFSET
0,1
COMMENTS
Rewrite it as s^2 - t^2 = 90^2 to see that there are only finitely many solutions.
REFERENCES
Albert H. Beiler, Recreations in the Theory of Numbers (2d ed. 1966), pp. 296, 317.
EXAMPLE
588 is included because 588 * (588 + 180) = 451584, the square root of which is 672.
MAPLE
isolve(n*(n+180)=m^2);
MATHEMATICA
Select[Range[-2200, 2200], IntegerQ[Sqrt[#(#+180)]]&] (* Harvey P. Dale, Jun 11 2019 *)
CROSSREFS
KEYWORD
sign,fini,full
AUTHOR
Harvey P. Dale, Feb 02 2002
STATUS
approved